Answer:
Step-by-step explanation:
Remark
The first step is the key step. You have to get the xs on one side and the numbers on the other.
Solution
4 + 6x = 16 Subtract 4 from both sides
4-4+6x = 16 - 4 Combine
6x = 12 Divide both sides by 6. You want x by itself.
6x/6 = 12/6
Answer: x = 2
Players heights:
72, 75, 78, 72, 73.
What is the range of
heights?
Answer:
6
Range is calculated by substracting smallest value but highest value.
Please give brainliest.
If 2sinθ=65, what is cos(90°−θ)?
A 3/5
B 4/5
C 5/4
D 5/3
Answer: A
Step-by-step explanation:
If 2sinθ = 6/5, then the value of cos (90 - θ) will be 3/5. Then the correct option is A.
How to convert the sine of an angle to some angle of cosine?We can use the fact that:
sinθ = cos(90 - θ)
to convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).
If 2sinθ = 6/5.
Then the value of cos (90 - θ) will be
cos (90 - θ) can be written as sin θ
Then we have
cos (90 - θ) = sin θ
cos (90 - θ) = 3/5
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find the rate of interest.
Rs.8800,T=3.5years,I=Rs.2618
Answer:
Rate is 8.5%
Step-by-step explanation:
Step 1: Write the given terms
Principal (p)=Rs8800
Rate(r)=?
Time(t)=3.5 years
Interest=Rs2618
Step 2: Write the formula for calculating Simple interest
[tex]i = \frac{prt}{100} [/tex]
Step 3: Make r the subject of the equation
[tex]by \: cross \: multiplication \\ 100i = prt \\ divide \: both \: sides \: by \: pt \\ r = \frac{100i}{pt} [/tex]
Step 4: Find the value of r by substituting the values in step 1
[tex]r = \frac{100 \times 2618}{8800 \times 3.5} \\ r = \frac{261800}{30800} \\ r = 8.5[/tex]
Hence, the rate is 8.5%
Cai tried to prove that \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J. Statement Reason 1 FG=HI=6FG=HI=6F, G, equals, H, I, equals, 6 Given 2 FH=HJ=4FH=HJ=4F, H, equals, H, J, equals, 4 Given 3 \overline{FG} \parallel \overline{HI} FG ∥ HI start overline, F, G, end overline, \parallel, start overline, H, I, end overline Given 4 \angle HFG\cong\angle JHI∠HFG≅∠JHIangle, H, F, G, \cong, angle, J, H, I When a transversal crosses parallel lines, alternate interior angles are congruent. 5 \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J Side-angle-side congruence What is the first error Cai made in his proof? Choose 1 answer: Choose 1 answer: (Choice A) A Cai used an invalid reason to justify the congruence of a pair of sides or angles. (Choice B) B Cai only established some of the necessary conditions for a congruence criterion. (Choice C) C Cai established all necessary conditions, but then used an inappropriate congruence criterion. (Choice D) D Cai used a criterion that does not guarantee congruence
<HFG ≅ <JHI because they are corresponding angles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
What are Corresponding Angles?When two parallel lines are crossed by a transversal, the angles that are formed in matching corners along the transversal are regarded as corresponding angles which are congruent to each other.
In the proof, HFG and JHI are corresponding angles that are forrmed. Therefore, they are equal based on the fact that corresponding angles are congruent.
Thus, Cai's first error in the proof was made in his 4th statement. <HFG ≅ <JHI because they are corresponding anglles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
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Answer:Answer is A
Step-by-step explanation:
just did it on khan academy
PLS no links. Can someone help me with question 2
Answer:
Step-by-step explanation:
take figure a and dilate it bigger by 3 that will mean it is bigger and the shapes will be the same.
I need help putting correct answers in the yellow boxes.
Answer:
-5 ± √5² - 4 · 1 · 4
2 · 1
Step-by-step explanation:
ax²+bx+c=0 (quadratic equation)
x= -b ± √b² - 4ac
2a
a= 1
b= 5
c= 4
-5 ± √5² - 4 · 1 · 4
2 · 1
A rectangle’s length is 8 feet shorter than four times its width. The rectangle’s perimeter is 134 feet. Find the rectangle’s length and width.
The rectangle’s length is ____ feet, and its width is _____ feet.
Answer:
length= 52 feet,
width= 15 feet
Step-by-step explanation:
[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]
Let the length and the width of the rectangle bs L and W feet respectively.
L= 4W -8 -----(1)
Perimeter of rectangle= 2(length +width)
2(L +W)= 134
Divide both sides by 2:
L +W= 67 -----(2)
[tex]\textcolor{steelblue}{\text{\textcircled{2} Solve for one variable}}[/tex]
Substitute (1) into (2):
4W -8 +W= 67
5W -8= 66
5W= 67 +8
5W= 75
W= 75 ÷5
W= 15
[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve for the other variable}}[/tex]
Substitute W= 15 into (1):
L= 4(15) -8
L= 60 -8
L= 52
[tex]\textcolor{steelblue}{\text{\textcircled{4} Write concluding statement}}[/tex]
Thus, the rectangle's length is 52 feet, and its width is 15 feet.
help.....././././////////././.
Answer:
hello, i am not sure. but the answer is between a and c
Step-by-step explanation:
How many times more is 2 ^ 10 than 2^ 6
Answer choices
8
16
12
Answer:
16
Step-by-step explanation:
2^10 = 1,024
2^6 = 64
1,024/64 = 16
Hope that helps!
Help!!! 8. Determine whether each pair of functions f and g are inverses. Explain your reasoning.
Answer:
(b) is inverse while (a) is not inverse.
Step-by-step explanation:
we can see this since the values of x and y should flip if the function is inverse. we see this in (b) but not in (a).
PLEASE HELP ASAP ITS FOR A TEST
If a server at a restaurant gets a 20% tip on a bill of $25, then what will be the amount of the tip?
Answer:
$5
Step-by-step explanation:
20% = .2
multiply 25 by .2 and you get 5 so $5 is the tip amount
A random sample of 100 chemistry students were asked how many lab classes he or she was enrolled in september 2000. the results showed a mean of 1.65 lab classes with a standard deviation of 1.39. ten years later, a similar survey was conducted to determine if the distribution changed. the 2010 sample mean was 1.82 with a standard deviation of 1.51. do the data provide statistical evidence that the mean number of lab classes taken in the first survey is different from the survey taken 10 years later? perform the appropriate test using a = 0.02
Using the t-distribution, as we have the standard deviation for the samples, it is found that the data does not provide statistical evidence that there is a difference.
What are the hypotheses tested?At the null hypotheses, it is tested if there is no difference in the means, that is, the subtraction is of 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypotheses, it is tested if there is a difference, hence:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
What are the mean and the standard error of the distribution of differences?For each sample, they are given by:
[tex]\mu_1 = 1.82, s_1 = \frac{1.51}{\sqrt{100}} = 0.151[/tex]
[tex]\mu_2 = 1.65, s_2 = \frac{1.39}{\sqrt{100}} = 0.139[/tex]
Hence, for the distribution of differences, they are given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 1.82 - 1.65 = 0.17[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.151^2 + 0.139^2} = 0.205[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Then:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{0.17 - 0}{0.205}[/tex]
[tex]t = 0.83[/tex]
What is the decision?Considering that it is a two-tailed test, as we are testing if the mean is different of a value, with 100 + 100 - 2 = 198 df and a significance level of 0.02, the critical value is of [tex]|t^{\ast}| = 2.3453[/tex].
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which means that the data does not provide statistical evidence that there is a difference.
More can be learned about the t-distribution at https://brainly.com/question/13873630
center and the radius please!
Answer:
the center is (-2,4) and the raduis is 3
Step-by-step explanation:
For equations of circles, the center will be the inverse of the euation. for example. If the equation had (x+3)^2 and (x-4)^2 the center is (-3,4).
And for the raduis of a circle equation it is always r^2. Since the 9 is in place, 3^2 is just 3x3 = 9.
I hoped this helped, would appreciate if you marked brainliest!
A pitcher of water contains 1/4 liters of water. The water is poured equally among 5 glasses. How many liters of water are in each glass
Answer:
-3.86
Step-by-step explanation:
PLEASE HELP THANK YOU
Answer:
money left= -50•games played + 47.50
can you please help me, i really need it.
The right is answer the left is explanation
Download GAUTH MATH ( math only ) don't report my answer just delete it thank you !
32 divided by 10-8 divided by 2-3
Answer:
-3.8Step-by-step explanation:
32÷10-8÷2-332÷10-4-33.2-4-33.2-7-7.0-3.2-3.8answerThe expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.
To solve the expression "32 divided by 10-8 divided by 2-3," we follow the order of operations, which is often represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
32 divided by 10 equals 3.2.
Next, perform the second division which is 8 divided by 2 which equals 4.
Subtract the result of the second division (4) from the first division result (3.2): 3.2 - 4
= -0.8.
Finally, subtract 3 from the -0.8.
-0.8 - 3
= -3.8.
Therefore, the expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.
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3. A hot air balloon travels 18 miles in 3 hours. At this rate, how many miles will the
3
hot air balloon travel in 2 hour?
4
A. 4.5 miles
B. 6 miles
C. 11.5 miles
D. 13.5 m
Answer:
B: 6 miles
Step-by-step explanation:
You divide 18 by 3 and get 6.
What is the distance between the points (10,6) and (1,4)? If necessary, round
your answer to two decimal places.
A. 9.22 units
B. 7.81 units
C. 61 units
D. 85 units
Distance:-
[tex]\\ \rm\Rrightarrow \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{(10-1)^2+(6-4)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{9^2+2^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{81+4}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{85}[/tex]
[tex]\\ \rm\Rrightarrow 9.22units[/tex]
Find the length of the third side if necessary right in the simplest radical form
Answer:
√89
Step-by-step explanation:
The Pythagorean theorem relates the measures of sides in a right triangle. For legs 'a' and 'b' and hypotenuse 'c', it tells you ...
c² = a² +b²
c² = 5² +8² = 25 +64 = 89
c = √89 . . . . the length of the third side
Answer:[tex]\sqrt{89}[/tex]
Step-by-step explanation:
opposite=8
Adjacent=5
Hypotenuse= ?
Using pythagoras theorem,
[tex]Hyp^{2} = Opp^{2} + adj^{2}[/tex]
[tex]Hyp^{2}[/tex]= [tex]8^{2} +5^{2}[/tex]
[tex]Hyp^{2}[/tex]=64 +25
[tex]Hyp^{2} =89[/tex]
Take the square root of both sides.Square and square root will cancel out leaving Hypotenuse
Hyp=[tex]\sqrt{89}[/tex]
Jessica has a credit line of $8,250 on her credit card. she had a previous balance of $780.54 and made a $455.00 payment. the total of her purchases is $1,570.85. her late charge was $12.60 and her finance charge was $9.50. use this information to answer questions # 1 - 2
Answer:
780.54-455=425.54
Step-by-step explanation:
425.54+1570.85+12.60+9.50=2018.49
1)
A group of twenty learners from Thabo secondary Vaal Gauteng, were selected
to participate in soccer tournament. The learners wanted to raise funds to help
pay for the trip, they decided to sell pens, the learn calculated that they need
R40 to start they fund raising venture the amount will be used for advertising
and other expenses the cost price of each pen was R2 each learner donated R12
for the starting up the business
4. 1) determine the total amount of money donated to start them business?
(2)
4. 2) calculate the value of A&B using the information given in the table
Show all the calculations
Number of o
10
5
25
of
15
B
Answer:
??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Step-by-step explanation:
1. Which transformation would take point A(5,-4) to A’(5,-4)
Answer:
that would be A. 360.
Step-by-step explanation:
when you think about it, a 360 is doing a full circle which is the only option here, because the point stays the same.
If 75% of a number is 255 and 20% of the same number is 68, find 95% of that
number
Answer:
323
Step-by-step explanation:
.75 x = 255
x = 255 / .75 = 340
340 * .95 = 323
Answer:
[tex]95[/tex]% of x ([tex]340[/tex]) = [tex]\boxed{\bf\:323}[/tex]
Step-by-step explanation:
Let the number be taken as 'x'.
Given,
[tex]75[/tex]% of x = [tex]255[/tex] [tex]20[/tex]% of x = [tex]68[/tex][tex]95[/tex]% of x = [tex]\boxed{?}[/tex]Then,
1) [tex]75[/tex]% of x = [tex]255[/tex]
[tex]\frac{75}{100} x = 255\\\frac{3}{4}x=255 \\x=255\times \left(\frac{4}{3}\right) \\x=\frac{255\times 4}{3} \\x=\frac{1020}{3} \\\underline {\bf\:x=340} \: \: \: \: \dashrightarrow eq. 1[/tex]
2) [tex]20[/tex]% of x = [tex]68[/tex]
[tex]\frac{20}{100} x = 68\\\frac{1}{5} x = 68\\x = 68 \times 5\\\underline{\bf\:x = 340 } \: \: \: \:\dashrightarrow eq.2[/tex]
We can see from eq.1 & eq.2 that we get the value of 'x' equal to [tex]\boxed{\bf\:340}[/tex] .
Now,
3) [tex]95[/tex]% of x = [tex]\boxed{?}[/tex]
[tex]\frac{95}{100}\times(340) \\= \frac{19}{20}\times 340 \\= \frac{19\times 340}{20} \\= \frac{6460}{20} \\= \boxed{\bf\:323 }[/tex]
[tex]\rule{150pt}{2pt}[/tex]
HELP ASAP PLEASE
The graph of a linear function passes through the points (7,0) and (-8, 45). A second linear function is
shown on this graph.
What is the distance, in units, between the y-intercepts of the two functionS?
distance : 15 units
coordinates : (7,0) and (-8, 45)
slope:
[tex]\sf \rightarrow \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\sf \rightarrow \dfrac{45-0}{-8-7}[/tex]
[tex]\sf \rightarrow -3[/tex]
equation:
[tex]\hookrightarrow \sf y - 0 = -3(x-7)[/tex]
[tex]\hookrightarrow \sf y = -3x+21[/tex]
the y-intercept of this function:
[tex]\hookrightarrow \sf y = -3(0)+21[/tex]
[tex]\hookrightarrow \sf y =21[/tex]
distance between both y-intercept :
21 - 615What is m _BEC
OB) 70°
OA) 65°
OD) 120°
OC) 50°
Answer:
C) 50°
Step-by-step explanation:
[tex]m\angle BEC= 180\degree-(65\degree+65\degree)[/tex]
[tex]\implies m\angle BEC= 180\degree-130\degree[/tex]
[tex]\implies m\angle BEC= 50\degree[/tex]
Find the area of each kite. write your answer as an integer or a simplified radical
The area of the kite is the amount of space it occupies
The area of the assumed kite is 25 square units
How to determine the area of the kite?The question is incomplete, as the dimensions of the kites are not given.
So, I will provide a general explanation
The area of a kite is:
Area = 0.5pq
Where p and q are the lengths of the diagonals of the kite.
Assume that p = 5 and q = 10, for a kite.
The equation becomes
Area = 0.5 * 5 * 10
Evaluate
Area = 25
Hence, the area of the assumed kite is 25 square units
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Rq I’ll brainlist.
Simplify 4kp x k ???
Hello!
We have
4kp×k
Multiply 4 times k times k times p:
4k²p
k² = k times k (k times itself)
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
[tex]\boxed{An~Emotional~Helper~here~}[/tex]
If f(x) = x + 1, and g[f(x)] = x, what is g(x)?
Answer:
x-1
Step-by-step explanation:
f(x) = x+1
g[f(x)] = x
g[x+1]=x
g(x)=x-1
original price? The discount is 40% in the sale price is $18
Answer:
$10.8
Step-by-step explanation:
Multiply 18 to .4 to get 7.2. Then subtract the 40% discount from the sale price. 18-7.2 = $10.8