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3 years ago

14

What is the value of y?

2 answers:

diamong [38]3 years ago

7 0

Since a triangle is 180 degrees in total, you can add the angles you have and subtract 180 by it to get the missing angle, in other words:
79+37+x=180

dimaraw [331]3 years ago

3 0

All angles in a triangle = 180. SO we can make an equation to find y:
79+37+y=180
116+y=180 (combine like terms)
y=64 (subtract the 116)

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Please help, photo attached

AlexFokin [52]

Answer:

Step-by-step explanation:

B = -2

8 0

2 years ago

lions [1.4K]

This question is easy if you think about it. First get the area of the rectangular part of the shape and then find area of the two semi-circles then add them together.

First, let's solve for the rectangle because it's easier.

Area for finding a rectangle A = w * l

A = 23 * 37
A = 851

Now for the semi-circle. First use the equation for finding the area of a circle which is A = Pi * r^2. We'll use 3.14 for Pi.

We know the diameter is 23. And to get the radius we just half it because the radius is half of the diameter.

23 / 2 = 11.5

A = 3.14 * 11.5^2
A = 3.14 * <span>132.25
</span>A = <span>415.265
</span>
Now we have the total area for both semi-circles. Because if we half 415.265 then add the other semi-circle's area it will be the same and adding them up will result in 415.265.

Now add up 851 and 415.265.

851 + 415.265 = <span>1266.265</span>

3 0

2 years ago

-1≤ 3x-10≤ 2 please help me

kicyunya [14]

Answer:

3 ≤ x ≤ 4

Step-by-step explanation:

Step 1: Add 10 to all parts/sections.

$-1 + 10 \leq 3x - 10 + 10 \leq 2+10$
$9\leq 3x\leq 12$

Step 2: Divide all parts/sections by 3.

$\frac{9}{3} \leq \frac{3x}{3} \leq \frac{12}{3}$
$3 \leq x \leq 4$

Therefore, the answer is 3 ≤ x ≤ 4.

5 0

2 years ago

Read 2 more answers

A bus averages 8 miles per hour faster than a trolley. If the bus travels 60 miles in the same time it takes the trolley to tr

hammer [34]

Answer:

Bus speed: 22 mph; Trolley speed: 14 mph

Step-by-step explanation:

Let rb represent the speed of the bus and rt the speed of the trolley. Then rb = rt + 8 (mph).

Recall that distance = rate times time. Two different distances and two different speeds are involved here, but only one time.

Thus,

60 mi 44 mi

--------------------- = time (same in both cases) = -------------

rt + 8 mi/hr rt

Cross-multiplying, we get 44rt + 8(44) = 60 rt, or

352 = 16rt.

Solving this for rt, we get rt = speed of bus = 352/16 = 22 mph

The speed at which the bus travels is 22 mph and that at which the trolley travels is (22 mph - 8 mph) = 14 mph

3 0

3 years ago

Two stores sell a certain product. Store A has 45% of the sales, 3% of which are of defective items, and store B has 55% of the

Mumz [18]

Answer:

$Probability = 0.0355$

Step-by-step explanation:

Given

Stot A:

$Sales = 45\%$

Defective = 3%

Store B

$Sales = 55\%$

Defective = 4%

Required

Determine the probability a product received is defective.

First, we calculate the probability that the defective product is from store A

$Probability = P(Sales) * P(Defective)$

$P_A = 45\% * 3\%$

Convert to decimals

$P_A= 0.45 * 0.03$

$P_A= 0.0135$

Next, we calculate the probability that the defective product is from store B

$P_B= 55\% * 4\%$

$P_B= 0.55 * 0.04$

$P_B= 0.022$

The product may come from either stores.

So, the probability of having a defective product is:

$Probability = P_A + P_B$

$Probability = 0.0135 + 0.022$

$Probability = 0.0355$

4 0

2 years ago