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3 years ago

In the 30-60-90 triangle below, side s has a length of _ and side q has a length of _.

Mathematics

1 answer:

gregori [183]3 years ago

4 0

Answer: F

Step-by-step explanation:

For a 30-60-90 triangle, we know that the hypotenuse is 2x. Since we know the hypotenuse is 10, we can solve for x.

2x=10

x=5

Now that we know x is 5, we can use this to solve for s and q. The side across from 30° is just x. Since we know x, s is 5.

The side across from 60° is x√3. Since we know what x is, we can just plug in. q is 5√3.

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Simplify the expressions and evaluate for (i) y = -2, (ii) y = 3.<br> 3y (2y-7) - 3 (y - 4) - 63

Diano4ka-milaya [45]

Simplified expression is 6y² - 24y - 51. Value for y=-2 is 21 and value for y=3 is -69.

Step-by-step explanation:

Step 1: Given expression is 3y(2y-7) - 3(y - 4) - 63. Simplify it.

⇒ 6y² - 21y - 3y + 12 - 63

⇒ 6y² - 24y - 51

Step 2: Find value of the expression for y = -2

⇒ 6y² - 24y - 51 = 6(-2)² - 24(-2) - 51 = 24 + 48 - 51 = 21

Step 3: Find value of the expression for y = 3

⇒ ⇒ 6y² - 24y - 51 = 6(3)² - 24(3) - 51 = 54 - 72 - 51 = -69

8 0

4 years ago

The sweet sweet shop charges $8.45 for a pound of chocolate covered almonds. If Britain buys 1.5 pounds of the almonds, how much

choli [55]

Answer:

$12.68

Step-by-step explanation:

Multiply the price of one pound by the amount of pounds you're buying,

8.45 x 1.5

= 12.675

Round up

= 12.68

5 0

3 years ago

Divide: −72 ÷ 9 = A) −8 B) −7 C) −6 D) 7

Lisa [10]

Answer:

-8

Step-by-step explanation:

-72 / 9 = -8

7 0

3 years ago

Read 2 more answers

Which of the following demonstrates using the

shusha [124]

I think the answer might be A and D

5 0

3 years ago

A marketing firm is asked to estimate the percent of existing customers who would purchase a "digital upgrade" to their basic ca

Ugo [173]

Answer: A. 664

Step-by-step explanation:

Given : A marketing firm is asked to estimate the percent of existing customers who would purchase a "digital upgrade" to their basic cable TV service.

But there is no information regarding the population proportion is mentioned.

Formula to find the samples size , if the prior estimate to the population proportion is unknown :

$n=0.25(\dfrac{z*}{E})^2$

, where E = Margin of error.

z* = Two -tailed critical z-value

We know that critical value for 99% confidence interval = $z*=2.576$ [By z-table]

Margin of error = 0.05

Then, the minimum sample size would become :

$n=0.25(\dfrac{2.576}{0.05})^2$

Simplify,

$n=0.25\times2654.3104=663.5776\approx664$

Thus, the required sample size= 664

Hence, the correct answer is A. 664.

5 0

4 years ago