Answers
Answer:
heya! ^^
here , we've been given a right angled triangle along with the measure of two of its sides.
and , we've to find the measure of its third side.
so , we'll be using Pythagoras Theorem to find the measure of the third side.
but first , let's take a look at what Pythagoras Theorem is-
Pythagoras theorem states that the square of the hypotenuse of the triangle is equal to the sum of squares of the remaining two sides.
according to the figure ,
side AB = hypotenuse = 60 cm
side AC = perpendicular = 48 cm
side BC = base = a
now by using Pythagoras Theorem ,
[tex]H {}^{2} = P {}^{2} + B {}^{2} \\ \\ (60) {}^{2} = (48) {}^{2} + a {}^{2} \\ \\ 3600 = 2304 + a {}^{2} \\ \\ a {}^{2} = 1296 \\ \\ a = \sqrt{1296} \\ \\ a = 36[/tex]
therefore ,
option ( 4 ) 36 is correct.
hope helpful :D
Answer:
36. (Option 4)[tex] \\ [/tex]
Step-by-step explanation:
Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.
We'll find the measure of third side with the help of the Pythagorean theorem,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]
Here,
The base (BC) is aThe perpendicular (AC) is 48The hypotenuse (AB) is 60.[tex] \\ [/tex]
So, substituting the values in the formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} + (48 {)}^{2} = ( 60{)}^{2} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} = ( 60{)}^{2} - (48 {)}^{2}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =3600 - 2304}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =1296}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad a = \sqrt{1296}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\frak {\qquad a = 36 }}} \\ \\[/tex]
Therefore,
The measure of the third side (a) is 36.Related Questions
Write each expression without the absolute value symbol.|14-(6-x)|
Answers
Divide. enter your solution as a mixed number.
6,132 ÷ 203 =
(enter all mixed numbers as x y/z.)
Answers
Answer: 30 6/29
Step-by-step explanation: 6132 \ 203 is 30 and 42/203. 42/203 simplified is 6/29
Can someone please help me solve this? or at least explain how I would go about solving this?
Answers
Answer:
find the probaillity of each one.
Step-by-step explanation:
Can someone help? I don’t get this one
Answers
Answer:1.4*10^-9
Step-by-step explanation:
Answer:
1.4×10−x^-{9}
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hopefully this helps you!
- Matthew
Please help me with this please and thank you
Answers
Answer:
Nnnnnnnnnnnn
Step-by-step explanation:
L bozo
What does 2k^4 * 10k^-7 equal?
Answers
Answer:
0.0000016k
Step-by-step explanation:
1. Solve
2k^4x10k^-7
16k*0.0000001k
0.0000016k
A spinner has 12 equal-sized sections. Nine of the sections are red. a. What is the probability that the spinner will land on red? b. Use words to describe the probability. a. out of 12, or /4 or _% .
Answers
Answer:
9out of 12, 3/4, 75%
Step-by-step explanation:
Red makes up 3 quarters of the spinner, or 9 parts out of 12.
A 50:1 scale drawing of your garden shows dimensions of 12 cm by 10.5 cm. how many
square cm are covered by your real garden?
Answers
50:1 scale drawing -> Both sides of the garden is shrinked by 50 times.
We can calculate the area of the shrinked scale drawing : 12 x 10.5 = 126 (cm2)
Since both sides are shrinked by 50 times -> The real area get shrinked by 2500 times.
So, we can find the real area : 126 x 2500 = 315000 (cm2)
there were 150 people in a parade last year. This year there are 20 people in the parade. What is the percent change of people in the parade from last year to this year?
Answers
Answer:
7.5
Step-by-step explanation:
Harvey the wonder Hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate find his average speed in kilometers per hour
Answers
let's firstly convert the mixed fractio to improper fraction.
[tex]\stackrel{mixed}{3\frac{1}{6}}\implies \cfrac{3\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{19}{6}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{array}{ccll} Km s&Hour\\ \cline{1-2} \frac{19}{6}&\frac{1}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{19}{6}~~}{x}~~ = ~~\cfrac{~~ \frac{1}{4}~~}{1}\implies \cfrac{~~ \frac{19}{6}~~}{\frac{x}{1}}=\cfrac{1}{4}\implies \cfrac{19}{6}\cdot \cfrac{1}{x}=\cfrac{1}{4} \\\\\\ \cfrac{19}{6x}=\cfrac{1}{4}\implies 76=6x\implies \cfrac{76}{6}=x\implies \cfrac{38}{3}=x\implies 12\frac{2}{3}=x[/tex]
5 people are evenly sharing 12 kilograms of apples.
How many kilograms of apples should each person get?
Choose 1 answer:
A. 5/12 kilograms of apples
B. 2 10/5 kilograms of apples
C. 12/5 kilograms of apples
D. 1 2/5 kilograms of apples
Answers
Answer:
C. 12/5 kilograms of apples
Step-by-step explanation:
If 5ppl =12kg of apples
then 1 person= ?kg of apples
If more less divides and if less more divides
Therefore
1×12
5
= 12
5
Please help me on this question
Answers
Answer:
V = £21,012.50
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of times periods elapsedGiven:
A = VP = £20,000r = 2.5% = 0.025n = 1t = 2Substituting given values into the formula:
[tex]\sf \implies V=20000(1+\frac{0.025}{1})^{(1 \times 2)}[/tex]
[tex]\sf \implies V=21012.5[/tex]
Is FGH ~ JKL? If so, identify the similarity postulate or theorem that applies.
Answers
Answer:
It is similar by AA
Step-by-step explanation:
AA stands for angle-angle. In similar figures, angles are congruent, and the sides are proportional. the corresponding angles are the same. Hope this helps!
Help please I’m not sure what I’m supposed to do
Answers
Answer:
6r & 30
Step-by-step explanation:
5(6r+6)
=5*6r+5*6
=30r+30
the equation A = bh is used to calculate the area, A , of a parallelogram with base, b , and height, h . Calculate the area of a parallelogram with a base of 15 inches and a height of 9 inches
Answers
Answer:
135
Step-by-step explanation:
A = bh
A = 15 x 9
A = 135
A taxi hurries 63 miles in 2 hours
5 minutes. What is its average speed in
miles per hour?
Answers
Answer:
30 .24 m/hr
Step-by-step explanation:
2 hours and 5 minutes = 2 + 5/60 hours = 2 5/60 hrs
63 miles / (2 5/60) = 30.24 m/hr
Step-by-step explanation:
To find the average speed, we must know this formula :
[tex] \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{Distance \: Travelled}{Total \: Time \: Taken}}} \\ \\ [/tex]
Also we know that, 2 hr 5 min = 2.083 hrs approximately so,Now, substituting the given values in the formula :
[tex] \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{63 \: miles}{2.083 \: hr}}} \\ \\ [/tex]
[tex] \\ {\longrightarrow\sf \qquad{Average \: speed = 30.24 \: mph}} \\ \\[/tex]
Therefore,
The average speed of the taxi is 30.24 mph
) What is the perimeter? use 3.14
(4 pts.)
for pi.
beri
What is the total area? use 3.14 for pi.
Show ur work 30 points
Answers
Answer:
34.54
Step-by-step explanation:
11in as diameter
3.14 as pi
11x3.12=34.54
Pls dont get mad if im wrong im trying my best :)
Answer:
73.81 in
Step-by-step explanation:
First we begin with the 3/4 circle perimeter:
(3.14) * diameter * 3/4
[tex](3.14) * 22 * \frac{3}{4} = 51.81[/tex]
Then we add the two remaining lines:
11 + 11 = 22
Adding up these two we get:
[tex]51.81 + 22 = 73.81[/tex]
Pls help pls help !!!!!!!
Answers
1/a+b + 5/2a+2b = 2/2a+2b + 5/2a+2b
[*I multiplied by 2 both numerator and denominator so the two fractions have the same denominator*]
= 7/2a+2b
The probabilities by subject of on-time assignment submission and on-time arrival to class are given in the table. What is the chance
That the subject is physics if an assignment is submitted on time?
OA 82.396
ОВ.
88.596
Ос.
89.796
OD. insufficient data
ved.
Answers
D. insufficient data
We need to know the number of assignments in each class before we can tell the probability of interest.
__
If we assume the same number of assignments in each class, then 25.1% of on-time assignments were in physics. We note this is not an answer choice, further confirming we have insufficient data.
How many solutions does the equation 4x 8 = − 2 − 2 5x have? two one zero infinitely many
Answers
The equation 4x + 8 = -2 - 2 + 5x has one solution
How to determine the number of solutions?The equation is given as:
4x + 8 = -2 - 2 + 5x
Collect like terms
4x - 5x = -2 - 2 - 8
Evaluate the like terms
-x = -12
Divide both sides by -1
x = 12
The above means that the equation 4x + 8 = -2 - 2 + 5x has one solution
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Answer:
it does have one solution
Step-by-step explanation:
Graph y=|x-2|
ASAP I really need this please
Answers
Step-by-step explanation:
move the parent function to the right 2 times.
Answer:
see image
Step-by-step explanation:
An absolute value graph is a V-shaped graph(in yellow, see image) You can use "transformations of parent functions" to graph it (high school/college) OR use a table of values (middleschool/hs). The - 2 that's in the parenthesis with the x causes the graph to slide to the RIGHT 2 units. (shown in green) The green graph is what you are asking for.
If you aren't learning about translations (which means shift or slide and is a type of transformation) then you can just make a table of values. Pick several x's and put them in the equation and find out what y's go with them. Plot the points on the graph and connect. See image.
Here are the first five terms of a quadratic sequence. 9 24 47 78 117 Find an expression, in terms of n, for the nth term of this sequence.
Answers
Answer:
4n^2+3n+2
Step-by-step explanation:
9 24 47 78 117
15 23
8
8/2 = 4
=4n^2
9-4 = 5 (the minus value come from 4n^2 where n is the position where 9 lays)
24-16 = 8
47-36 = 11
so plus 3 every time so 3n
4n^2+3n for the first value is 7 so you need an extra 2
4n^2+3n+2
The quadratic sequence is 4n² + 3n + 2.
What is a quadratic sequence?The difference between words always varies by the same amount, which is a characteristic of quadratic number sequences. The "difference between the differences between the words in the sequence is always the same" as a result. The second difference is referred to as constant.
As per the given data:
The given sequence is a quadratic sequence.
The given terms are: 9 24 47 78 117
The difference between the first three consecutive terms:
9 24 47
15 23
Difference of difference:
8
and 8/2 = 4
∴ The first term is 4n²
9-4 = 5 (the minus value come from 4n² where n is the position where 9 lays)
24-16 = 8
47-36 = 11
so plus 3 every time
∴ The second term to add is 3n
4n² + 3n for the first value is 7, so you need an extra 2
∴ The third term to add is 2
4n² + 3n + 2
Hence, the quadratic sequence is 4n² + 3n + 2
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calculate the value of (6.9*10^-3)*(2*10^9) give your answer in standard form
Answers
HELLPPPP CAN SOMEONE HELP!
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
How many outcomes include exactly one head?
Enter your answer as a number, like this: 4
Answers
Answer:
3
Step-by-step explanation:
HTT, THT, TTH
You have $6.44 to spend on easter sweets You buy 1 chocolate bunny for $2.19 and 1 chocolate egg for $1.83. with the money left , which flower could you buy? the daisy costs $2.35 and the rose costs $2.55.
Answers
Answer:
DAISY
Step-by-step explanation:
6.44-2.19-1.83=2.42.
You can buy the DAISY
(in the nonstatistical term, you can tell that it could be the daisy because if you had 2.55 you could buy both)
Daisy
Step-by-step explanation:
$6.44 - $2.19 = $4.25 $4.25 - $1.83 = $2.42
You only have $2.42 left. Daisy cost $2.35 and Rose cost $2.55
Jimmy is playing a game at a state fair, where he is throwing a dart at a target. For each throw, Jimmy can choose to throw the dart at a rectangular target or at a circular target. To score a point during the game, Jimmy must hit the bulls-eye of the target that he chooses. So far, Jimmy has thrown the dart at the rectangular target 9 times, and he has thrown the dart at the circular target 11 times.
When Jimmy has thrown the dart at the rectangular target, he has missed the bulls-eye 6 times. When Jimmy has thrown the dart at the circular target, he has missed the bulls-eye 9 times.
Based on the information above, if Jimmy's goal is to score a point on his next throw, which target should he choose?
Answers
Using proportions, it is found that Jimmy should target the rectangular target, as he has hit a higher proportion of throws there.
What is a proportion?A proportion is a fraction of a total amount.
In the rectangular target, he has hit it 3 out of 9 times, hence the proportion is:
pR = 3/9 = 0.3333.
In the circular target, he has hit it 2 out of 11 times, hence the proportion is:
pC = 2/11 = 0.1818.
Due to the higher proportion of hits, he should throw at the rectangular target.
More can be learned about proportions at https://brainly.com/question/24372153
Factor the polynomials comletely, then solve 9x^2 +66x+21 = 0
Answers
Answer:
x= -1/3
x = -7
Step-by-step explanation:
9x^2 +66x+21 = 0
a=9 b=66 c=21
quadratic formula
x=(-b +/- square root of (b^2 – 4ac))/(2a)
x = (-66 +/- square root of (66^2 -4*9*21))/(2*9)
x = (-66 +/- square root of (4356 -756))/(18)
x = (-66 +/- square root of (3600))/(18)
x = (-66 +/- 60)/18
split the fraction
(-66 +/- 60)/18 = -6/18 and -126/18 because of the +/-
x = -6/18 x = -126/18
x = -1/3 x = -7
[tex]~~~~~~9x^2+66x+21 = 0\\\\\implies 3(3x^2+22x+7)=0\\\\\implies 3x^2+22x+7=0\\\\\implies 3x^2 +21x +x +7=0\\\\\implies 3x(x+7) +(x+7)=0\\\\\implies (x+7)(3x+1)=0\\\\\implies x = -7~~ \text{or}~~ x =-\dfrac 13[/tex]
Which expression is equivalent to √3+5/√3-5
Answers
The simplified form of the expression is [tex]\frac{14+5\sqrt{3}}{11}[/tex]
How to rationalize surd functions?
Given the surd function expressed as:
[tex]\frac{\sqrt{3} +5}{\sqrt{3} - 5 }[/tex]
Multiply by the conjugate of the denominator to have:
[tex]= \frac{\sqrt{3} +5}{\sqrt{3} - 5 } \times \frac{\sqrt{3} +5}{\sqrt{3} + 5 } \\=\frac{\sqrt{9}+5\sqrt{3}+5\sqrt{3}+25 }{3-25}[/tex]
Simplify the resulting expression
[tex]\\=\frac{3+10\sqrt{3}+25 }{-22}\\=\frac{28+10\sqrt{3}}{-22} \\= \frac{14+5\sqrt{3}}{11}[/tex]
Hence the simplified form of the expression is [tex]\frac{14+5\sqrt{3}}{11}[/tex]
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what is the value of the expression 4y²-7y-6 when y=5
Answers
16y-7y-6
80-35-6
45-6
39
Select the reason that best
supports Statement 6 in the
given proof.
A. Transitive Property
B. Subtraction Property of Equality
C. Substitution
D. Division Property of Equality
AB=18
Answers
Answer: Subtraction property of equality
Step-by-step explanation:
They subtracted 6 from both sides to get AB=18.
The best reason is Subtraction Property of Equality.
The correct option is (B)
What is Subtraction Property of Equality?The subtraction property of equality states that when the same number is subtracted from both sides of an equality, then the two sides of the equation still remain equal.
Given:
AB + 6 = 24
So,
AB= 24-6
AB = 18 (Subtraction Property of Equality)
Hence, the best reason is Subtraction Property of Equality.
Learn more about Subtraction Property of Equality here:
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