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nata0808 [166]
3 years ago
13

Please help me Show your work 11 points

Mathematics
2 answers:
AlekseyPX3 years ago
7 0

Since the ratio of the sides of ABC to PQR is 4:6, the ratio of the areas of ABC to PQR is 16:36.

So 40cm2 * 36/16 = 90cm2.

ozzi3 years ago
5 0

Answer:

The area of ΔPQR = 90 cm²

Step-by-step explanation:

Points to remember

If two triangles are similar, then ratio of their areas is equal to square of ratio of their corresponding sides.

It is given that,

ΔABC ~ ΔPQR

<B = < Q

<C = <R

ar(ΔPQRC) = 40 cm²

<u>To find the area of ΔPQR</u>

We have ,

ar(ΔABC)/ar(ΔPQR) = AB/PQ

40/ar(ΔPQR)= (4/6)² = 16/36

ar(ΔPQR) =  (36 * 40)/16 = 90 cm²

Therefore area of ΔPQR = 90 cm²

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The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the
Darya [45]

Answer:

Brand 1    Brand 2    Difference

37734       35202        2532

45299      41635         3664

36240      35500        740

32100      31950         150

37210       38015       −805

48360     47800        560

38200    37810          390

33500    33215        285

Sum of difference = 2532+ 3664+740+150 −805+  560 +390 +285 = 7516

Mean = d=\frac{7516}{8}

Mean = d=939.5

a) d= 939.5

\text{Sample Standard deviation, s} = \sqrt{\dfrac{(x-\bar{x})^2}{n-1}}

=\sqrt{\dfrac{(2532-939.5)^2+(3664-939.5)^2+(740-939.5)^2 ...+(285-939.5)^2}{8-1}}

=1441.21

b)SD= 1441.21

c)Calculate a 99% two-sided confidence interval on the difference in mean life.

confidence level =99%

significance level =α= 0.01

Degree of freedom = n-1 = 8-1 =7

So, t_{\frac{\alpha}{2}}=3.499

Formula for confidence interval = \left( \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}} \right)

Substitute the values

confidence interval = 939.5 \pm 3.499 \times \frac{1441.21}{\sqrt{8}} \right)

confidence interval = 939.5 - 3.499 \times \frac{1441.21}{\sqrt{8}} \right) to  = 939.5 + 3.499 \times \frac{1441.21}{\sqrt{8}} \right)

Confidence interval −843.396\ to  2722.396

8 0
2 years ago
What is 20% of 100 in whole money
Kryger [21]
%=percent
percent means parts out of 100
20%=20/100
'of' means multiply

20% of 100  units means
20/100 times 100 units=2000/100 units=20 units
3 0
3 years ago
Read 2 more answers
Given: A(12,9), B(-2,-5) Find: M​
VARVARA [1.3K]

Answer:

<h2>M = ( 5 , 2)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = ( \frac{x1 + x2}{2}  , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(12,9), B(-2,-5)

The midpoint M is

M  =  (\frac{12 - 2}{2} , \:  \frac{9 - 5}{2} ) \\  = ( \frac{10}{2} , \:  \frac{4}{2} )

We have the final answer as

<h3>M = ( 5 , 2)</h3>

Hope this helps you

4 0
2 years ago
Read 2 more answers
May someone help, please ? Thank you ♥️
koban [17]
My final answer is (C) because for the side lenghts to be a right triangle, the values of the first and second terms should be equal to the third (a^2 and b^2 =c^2) hope that helped (:
3 0
3 years ago
If the measure of the angle m is twice the measure of its complement if the given angle is 40 degrees, What is the measure of an
sladkih [1.3K]
C. Because complementary angles are two angles whose sum equals 90 degrees so do 90-40=50 then 50x2= 100
4 0
2 years ago
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