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Firdavs [7]
3 years ago
15

Please help me I will give branliest! Find the two missing sides and write your answer as in simplified radical form. image atta

ched

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0

Answer:

x = y = 15\sqrt{2}

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = \frac{\sqrt{2} }{2} , then

sin45° = \frac{opposite}{hypotenuse} = \frac{x}{30} = \frac{\sqrt{2} }{2} ( cross- multiply )

2x = 30\sqrt{2} ( divide both sides by 2 )

x = 15\sqrt{2}

The triangle is isosceles (45- 45- 90) , then 2 legs are congruent, so

y = x = 15\sqrt{2}

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Let's simplify
Zielflug [23.3K]

Step-by-step explanation:

Given

=  \frac{1.5 \times  {10}^{4} \times 4.5 \times  {10}^{3}  }{2.5 \times 10 ^{2} }  \\ =  \frac{6.75 \times  {10}^{4 + 3} }{2.5 \times  {10}^{2} }  \\  = \frac{6.75 \times  {10}^{7} }{2.5 \times  {10}^{2} } \\  = 2.7 \times  {10}^{7 - 2}  \\  = 2.7 \times  {10}^{5}

Hope it will help :)

8 0
3 years ago
A grocery store manager claims that 75% of shoppers purchase bananas as least once a month. Technology was used to simulate choo
Keith_Richards [23]

Answer:

P-value = 0.0333

At 5% level of significance;

0.0333 < 0.05

Therefore, we reject null hypothesis H₀ at 5% level of significance,

We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated

 

Step-by-step explanation:

 Given the data in the question;

To test whether population proportion p is overstated;

Null hypothesis H₀ : p = (75%) = 0.75

Alternative hypothesis H₁ : = < (75%) < 0.75

now, sample proportion p" = 64 / 100 = 0.64

from the dot plot below, we will determine the p-value for test { P(p" < 0.64)}

so, the number of times p"<0.64 in 150 simulations is 5

Hence; P(p" < 0.64 ) = 5 / 150 = 0.0333

P-value = 0.0333

At 5% level of significance;

0.0333 < 0.05

Therefore, we reject null hypothesis H₀ at 5% level of significance,

We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated

7 0
3 years ago
There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Find the numbers.
Pani-rosa [81]

There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Then the numbers are 45 and 19

<h3><u>Solution:</u></h3>

Given that, There are two numbers whose sum is 64.  

Let the number be a and b in which a is bigger.

Then, a + b = 64 ------ eqn (1)

The larger number subtracted from 4 times the smaller number gives 31.  

4 x b – a = 31  

4b – a = 31 ----- eqn (2)

We have to find the numbers.

So, from eqn (2)

a = 4b – 31

Subatitute a in (1)

4b – 31 + b = 64

On solving we get

5b  = 64 + 31  

5b = 95

b = 19

So, b = 19, then eqn 1

a + 19 = 64

On simplification,

a = 64 – 19

a = 45  

Hence, the two numbers are 45 and 19

3 0
3 years ago
There are 30 nonfiction books and 34 fiction books in the teachers collection. Which of the following expresses the ratio of fic
Yanka [14]
Divide each by 2 and you get 15:16
3 0
3 years ago
A shelter house has a floor area of 400 square feet. If three identical shelter houses are built, what is the combined floor are
ss7ja [257]
It would be 1,200 because you just have to multiply 400 times 3 hope it helped :)
6 0
3 years ago
Read 2 more answers
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