Step-by-step explanation:
Ans of 8
x + 3x + 2x = 180 (sum of all angle of triangle is 180)
6x = 180
x = 60
Ans of 9
(2x-2)+(x+5)+90 = 180
3x+3+90 = 180
3x + 93 = 180
3x = 180-93
x = 87/3
x = 29
An integer number is chosen randomly between 1 and 1000. What is the probability that the number picked is divisible by 3 or 5 (i. E. , either 3 or 5 or both)?
Answer:
Umm..... sorry but.....my answer came.......
The probability that the number picked is divisible by 3 or 5 is 0.555.
What is probability?Probability sampling is defined as a sampling technique in which the researcher chooses samples from a larger population using a method based on the theory of probability.
An integer number is chosen randomly between 1 and 1000.
The number of numbers divisible by 3, which is;
[tex]\rm \dfrac{1000}{3}=3333.3 = 333[/tex]
The number of numbers divisible by 5, which is;
[tex]\rm \dfrac{1000}{5}=200[/tex]
The probability that the number picked is divisible by 3 or 5 is;
[tex]\rm Probability=\dfrac{Number \ divisble \ by \ 3+ Number \ divisble \ by \ 5}{1000}\\\\ Probability =\dfrac{333+200}{1000}\\\\Probability=\dfrac{533}{1000}\\\\Probability=0.533[/tex]
Hence, the probability that the number picked is divisible by 3 or 5 is 0.555.
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A box of sunflower seeds contains p packets. Each packet of sunflower seeds contains s seeds. Which equation can be used to find the number of sunflower seeds in a box, b? *
5 points
p = sb
s = pb
b = sp
b + s = p
Answer:
b = sp
Step-by-step explanation:
box = seeds per packet
The given relation can be used to find the total number of seeds in box b, using the equation b = sp. Hence, 3rd option is the right choice.
What are equations?Equations are relations shown between two equal algebraic expressions.
How do we solve the given question?We are given a box of sunflower seeds, containing p packets of seeds, each of which contains s number of seeds.
We are asked to write an equation that can be used to find the total number of seeds in the box, b.
We know that the box contains p packets of seeds.
In 1 packet we have s number of seeds.
∴ In p packets, we will have an s*p number of seeds or sp seeds.
Since the box contains p packets and the total number of seeds in the box is b, then we can say that
b = the number of seeds in p packets
or, b = sp, which is the required equation.
∴ The given relation can be used to find the total number of seeds in box b, using the equation b = sp. Hence, 3rd option is the right choice.
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Math, help, please!
Find the value of x
Answer:
x = 130
Step-by-step explanation:
A triangle always adds up to 180 de grees. If we do this we can find the value of x!!
33 + 97 + y = 180
130 + y = 180
180 - 130 = 50
Since the line x is on is a flat line and a flat line also equals 180, we will subtract the 50 from 180 to get x's value
180 - 50 = 130
Your answer is 130 :)
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
x = 50°
Step-by-step explanation:
if you know the measure of two angles in a triangle then the third angle measure will be 180 minus the sum of the other two
in this case the two interior angles add to 130
180-130 = 50
check: 33 + 97 + 50 should equal 180, and it does
Hailey paid 40$ for a jacket whose regular price was 50$. What percent of the regular price did hailey pay?
Answer:
Step-by-step explanation:
Hailey paid 80% of the regular price.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have Hailey who paid 40$ for a jacket whose regular price was 50$.
Assume that she paid [x]% of the regular price.
Then, we can write -
40 = x% of 50
40 = (x/100) x 50
x = (4000/50)
x = 80%
Therefore, Hailey paid 80% of the regular price.
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A scale drawing of a house is 2:9. If the length of the actual kitchen is 18 feet, how long was it in the drawing?
Answer: 4:18
Work:
2:9
2 inch:9 feet
2 · 9 = 18
2 · 2 = 4
4 inch:18 feet
what is 122 / 600?
[tex]122 \div 600[/tex]
Answer:122/600= 0.20333333333
Step-by-step explanation:
The roots of the equation f(x) = 0 are 1 and -2. The roots of f(2x) = 0) are - - (A) 1 and -2 (B) and - 1 (C) and 1 2 2 (D) 2 and -4 (E) -2 and 4
Answer: B
Step-by-step explanation:
When f(x) turns into f(2x), we need to halve the value of x.
The roots of f(2x) will be equal to ( 1 / 2 ) and -1.
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the root of function f(x) are 1 and -2. The roots of F(2x) will be calculated as:-
( x - 1 ) ( x + 2 ) =0
( 2x - 1 )( 2x + 2 ) =0
x = 1 / 2
x = -1
Therefore, the roots of f(2x) will be equal to ( 1 / 2 ) and -1.
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What is the value of x? sin(x 37)°=cos(2x 8)° enter your answer in the box. x =
The value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15.
How to convert sine of an angle to some angle of cosine?We can use the fact that:
[tex]\sin(\theta ^\circ) = \cos(90 - \theta^\circ)[/tex]
to convert the sine to cosine (but the angles won't stay same unless its 45 degrees).
For this case, we're specified the equation sin(x+37)°=cos(2x+8)°.
Converting sine to cosine, we get:
[tex]\cos(90 - x - 37)^\circ = \cos(2x + 8)^\circ\\[/tex]
Since cosine is a periodic function with period of [tex]360^\circ[/tex], thus, we get:
[tex]90 - x - 37= 2x + 8 +360 n[/tex]
where n = an integer (positive, negative, or zero).
or
[tex]90 - 37 - 8= 3x + 360 n\\\\x = \dfrac{45 - 360n}{3} = 15 - 120n[/tex]
This is the general solution of the considered equation.
Assuming that only principal values (from 0 to 360 degrees) angles are allowed, we need:
[tex]0 \leq x + 37 \leq 360\\\\and\\\\0 \leq 2x+8 \leq 360[/tex]
The first inequality gives:
[tex]-37 \leq x \leq 323[/tex]
The second inequality gives:
[tex]-4 \leq x \leq 176[/tex]
We need to satisfy both the inequalities, so the final boundaries on x are:
[tex]-4 \leq x \leq 176[/tex] (the minimum ones for which both inequalities stay true).
n = -2 gives x = 255n = -1 gives x = 135n = 0 gives x = 15n = 1 gives x = -105n < -2 gives x > 255, and n > 1 gives x < -105
So, values of n for which [tex]-4 \leq x \leq 176[/tex] is true are n = -1, or n = 0
Thus, x = either 135 or 15
sin
Thus, the value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15
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On a map with a scale of 1 : 50000 , he shortest distance from the railway line to the river is 2.1km. What distance on the map would represent this?
Answer:
105,000
Step-by-step explanation:
I'd the scale is 1 : 50,000, you would first take the 2.1km and multiply it by your 50,000. This will put your answer to scale coming in at 105,000 km on the map
i dont understand this question im very bad at maths
2400cm³
Step-by-step explanation:[tex]Volume=15\times 20\times 8[/tex][tex]=300\times 8\\ =2400cm^3[/tex]
[tex](Analyze\ the\ information\ carefully)[/tex]
I hope this helps you
:)
If you move from zero to 15 on the number line, you are representing all of the following except
the absolute value of 15
the distance between zero and 15
the opposite of -15
the opposite of 15
Answer: the opposite of 15
Step-by-step explanation:
An appliance store sells an oven for 25% off the original price. The sale price is $251.85, not including tax. What is the price of the oven, not including tax, before the discount is applied?
Amir subtracted a quantity from the polynomial 3x2+8x−16 and produced the expression x2−4. What quantity did Amir subtract? Explain how you got your answer. To get you started:
3x2+8x−16 minus [SOMETHING] = x2−4
What is the [SOMETHING]??
The polynomial that Amir subtracted from 3x² + 8x - 16 to get x² - 4 is: 2x² + 8x - 12.
How do you Subtract Polynomials?To subtract polynomials from each other, take like terms together and subtract.
To find out what quantity Amir subtracted from 3x² + 8x - 16 to get x² - 4, do the following:
(3x² + 8x - 16) - (x² - 4)
Open bracket
3x² + 8x - 16 - x² + 4
Combine like terms
2x² + 8x - 12
Therefore, the polynomial that Amir subtracted from 3x² + 8x - 16 to get x² - 4 is: 2x² + 8x - 12.
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What is the volume of a rectangular prism with a length of 7 centimeters, a width of 3 centimeters, and a height of 2 centimeters?
Enter your answer in the box.
V = cm³
Answer:
42cm³
Step-by-step explanation:
7*2*3=42
7*2=14
14*3=42
42
what is the algabric way to find the area of a triangle
The parameters for computing the area of triangle is first listed out and the expression for the area of triangle was used to find the algebraic method
Area of TriangleParameters for find the area of triangle are
BaseHeightLet the base be x, and let the height be y
We know that the expression for the area of triangle is given as
Area = 1/2 (Bass* Height)
Substituting our parameters we have
Area = 1/2*x*y
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PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS! An inheritance of 2 Million was given to a young professional by his parents. He invested the entire amount in real estate, mutual funds, government bonds, and crytocurrencies.
Answer:
a) 17.5%
b) $150,000
c) 27°
Step-by-step explanation:
Angles around a point add up to 360°.
Therefore, to find the percentage of the portion of the pie chart, divide the degree of the portion by 360° and multiply by 100%
Assuming that Real Estate is half of the circle, and Mutual Funds are a quarter of the circle.
a) Government Bonds = (63° ÷ 360°) x 100% = 17.5%
b) Crypto Currency = 90° - 63° = 27°
Therefore, (27° ÷ 360°) x 100% = 7.5%
7.5% of $2,000,000 = 0.075 x $2,000,000 = $150,000
c) Crypto Currency = 90° - 63° = 27°
#a
Find percentage (whole is 360°)
63/360×1000.175(100)17.5%#2
Angle of crypto=180-(90+63)=180-153=27°
Percentage:-
27/360×1000.075(100)7.5%Total
2M(0.075)0.15M150K#c
Found in second part
Two marathon runners start a race at different times. Runner A stars her race first. and then Runner B starts his race 30 minutes later. Runner A runs 4 miles per hour. Runner B runs 6 miles per hour. Which equation can be used to determine the time in hours, t, that the runners will be side by side, the same distance from the starting line?
Answer:
4t = 6(t - 1/2)
Step-by-step explanation:
For Runner A, the expression is 4t since this runner's rate is 4 mph. For Runner B, the expression is 6(t - 1/2) since Runner B starts 1/2 hour after Runner A, and this runner's rate is 6 mph. Set these two expressions equal to each other.
An engineer would like to design a parking garage in the most cost-effective manner. He reads that the average height of pickup trucks, which is the largest type of vehicle that should be expected to fit into the parking garage, is 76.4 inches. To double-check this figure, the engineer employs a statistician. The statistician selects a random sample of 100 trucks and finds the mean height of the sample to be 77.1 inches with a standard deviation of 5.2 inches. The statistician will determine if these data provide convincing evidence that the true mean height of all trucks is greater than 76.4 inches. What are the appropriate hypotheses?
H0: μ = 76.4 versus Ha: μ < 76.4, where μ = the true mean height of all trucks
H0: μ = 76.4 versus Ha: μ > 76.4, where μ = the true mean height of all trucks
H0: μ = 76.4 versus Ha: μ < 77.1, where μ = the true mean height of all trucks
H0: μ = 76.4 versus Ha: μ > 77.1, where μ = the true mean height of all trucks
The Hypotheses are; Null Hypothesis; H₀: μ = 76.4 and Alternative Hypothesis; Hₐ: μ > 76.4 where μ is the true mean height of all trucks.
How to Define Hypotheses?We are given;
Population Mean; μ = 76.4 inches
Sample Mean; x' = 77.1 inches
Sample standard deviation; s = 5.2 inches
Sample size; n = 100 trucks
Now we can thus define the hypotheses as;
Null Hypothesis; H₀: μ = 76.4
Alternative Hypothesis; Hₐ: μ > 76.4
where μ is the true mean height of all trucks
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Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and gertrude makes monthly payments, how much interest will she pay by the time the loan is repaid? round all dollar values to the nearest cent. a. $4,462.40 b. $1,213.28 c. $1,713.69 d. $2,094.80
The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.
Put the values in the above formula as,
[tex]5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29[/tex]
In the 10 years, the refund she gets,
[tex]A_r=63.29\times12\times100\\A_r=7594.8[/tex]
Interest paid by her is,
[tex]I=7594.8-5500\\I=2094.8[/tex]
Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.
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Answer: D
Step-by-step explanation:
please help with word problems.
Answer:
I am sorry but u didn't really ask any question to be answered so next time give a question to be answered
The diameter of a circle is 10 3/4 inches What is the radius, r, of the circle?
Answer:
10
Step-by-step explanation:
Using the formula
d=2r
Solving for r
r=d
2=10
2=5
If I have 1 and 10 dollar bill and 4 quarters, that makes 15$.
Hey there!
$10.00 + 0.25¢ + 0.25¢ + 0.25¢ + 0.25¢
= $10.25 + 0.25¢ + 0.25¢ + 0.25¢
= $10.50 + 0.25¢ + 0.25¢
= $10.75 + 0.25¢
= $11.00
OR YOU COULD READ THE EQUATION LIKE:
$10.00 + $1.00
= $11.00
Thus, your answer is: FALSE because $10 + 4 quarters gives you $11 NOT $15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
False
Step-by-step explanation:
$10+$1=$11 and .25+.25+.25+.25=$1
which would equal $12 so your answer would be falses if thats what your asking
is x-1 taking away an x or adding an x?? im trying to find the perimeter of area tiles, and the perimeter is x + x + x + (x-1) + 1 + 1 + 1 so would it be 2x+3 or 4x + 3??
Answer:
4x + 2
Step-by-step explanation:
x - 1 is adding an x and subtracting a 1 ,so
x + x + x + (x - 1) + 1 + 1 + 1
= x + x + x + x - 1 + 1 + 1 + 1 ← collect like terms
= 4x + 2
What is the mean of the following data set?
3.245, 3.678, 3.3, 2.499, 2.9, 3.206, 2.081
Answer:
2.987
Step-by-step explanation:
The mean is calculated by dividing the sum of the terms by the # of terms.
For this problem, add all of the terms together:
3.245 + 3.678 + 3.3 + 2.499 + 2.9 + 3.206 + 2.081 = 20.909
Now, divide the product by the number of terms there are. There are 7 terms.
20.909 ÷ 7 = 2.987
how would you solve this
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's write the equation in standard form ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + {y}^{2} - 2y - 15 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \:(x ){ }^{2} + {y}^{2} - 2y = 15[/tex]
[tex]\qquad \sf \dashrightarrow \:(x ){ }^{2} + {y}^{2} - 2y + 1 = 15 + 1[/tex]
[tex]\qquad \sf \dashrightarrow \:(x ){ }^{2} +( {y}^{} - 1 ) {}^{2} = 16[/tex]
Now, it's the required form of circle ~
please help for 10 points
What is the area and perimeter for this ?
Answer:
Step-by-step explanation:
The area of a parralelogram is B*H
Base is 20.2
Hight is 12
20.2*12=242.4
Perimeter is the sum of all sides
20.2*2+12*2=64.4
Simplify this please
(5ab²c)^2
Answer:
25a^2b^4c^2
Step-by-step explanation:
step 1:
Remove the bracket by multiplying all the power inside the bracket with the power outside the bracket.
5^2a^2b^2x2c^2=25a^2b^4c^2
Why is the Area for my shape not correct and can you explain why?
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Here, We have given
2 squares , In which 1 square is enclosed within the another square and it arranged in a form that it forms 4 right angled triangle The height and base of the given right angled triangles are 6 and 3 each.We know that,
Area of triangle
[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} base {\times} height }}[/tex]
Subsitute the required values,
[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} 3 {\times} 6}}[/tex]
[tex]\sf{ = 3 {\times} 3 }[/tex]
[tex]\bold{ = 9 }[/tex]
Therefore,
Area covered by 4 right angled triangles
[tex]\sf{ = 4 {\times} 9 }[/tex]
[tex]\bold{ = 36}[/tex]
Now,
We have to find the area of the big square
The length of the side of the big square[tex]\sf{ = 6 + 3 = 9 }[/tex]We know that,
Area of square
[tex]\sf{ = Side {\times} Side }[/tex]
Subsitute the required values,
[tex]\sf{ = 9 {\times} 9 }[/tex]
[tex]\bold{ = 81 }[/tex]
Therefore,
The total area of shaded region
= Area of big square - Area covered by 4 right angled triangle
[tex]\sf{ = 81 - 36 }[/tex]
[tex]\bold{ = 45 }[/tex]
Hence, The total area of shaded region is 45 .
Part 2 :-Here,
We have to find the area of non shaded region
According to the question
Hypotenuse = The length of squareLet the hypotenuse of the given right angled triangle be x
Therefore,
By using Pythagoras theorem,
This theorem states that the sum of the squares of the base and perpendicular height is equal to the square of hypotenuse.That is,
[tex]\sf{ (Perpendicular)^{2} + (Base)^{2} = (Hypotenuse)^{2} }[/tex]
Subsitute the required values
[tex]\sf{ (6)^{2} + (3)^{2} = (x)^{2} }[/tex]
[tex]\sf{ 36 + 9 = (x)^{2} }[/tex]
[tex]\sf{ x = \sqrt{45}}[/tex]
[tex]\bold{ x = 6.7 }[/tex]
That means,
The length of the small square = 6.7We know that ,
Area of square
[tex]\sf{ = Side {\times} Side }[/tex]
Subsitute the required values,
[tex]\sf{ = 6.7 {\times} 6.7 }[/tex]
[tex]\bold{ = 44.89 \:\: or \:\: 44.9 }[/tex]
Therefore ,
Area of non shaded region
= Area of big square - Area of small square
[tex]\sf{ = 81 - 44.9 }[/tex]
[tex]\bold{ = 36.1 }[/tex]
Hence, The total area of non shaded region is 36.1 or 36 (approx) .
Part 3 :-Here, we have to
find the total area of the figure Therefore,The total area of the figure
= Non shaded region + Shaded region
[tex]\sf{= 36 + 45 }[/tex]
[tex]\bold{= 81}[/tex]
Hence, The total area of the given figure is 81 .
Find an angle between 0 degrees and 360 degrees that is coterminal with 950 degrees
Answer:
40 degrees
Step-by-step explanation:
(to find coterminal angles to a given angle, we add 360 degrees to the given angle or subject 360 degrees from the given angle any angle any number of time).
-1400 degrees is negative angl, so to get the coterminal angle between 0 degrees and 360 degrees ( the smallest positive coterminal angle), we must add multiples of 360 degrees until we get a possitive coterminal angle:
-1400 degrees+(360 degrees*4)
=-1400 degrees+1440
=40 degrees
so the answer is 40 degrees