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tatyana61 [14]
2 years ago
9

Use the figure below to answer the following questions.

Mathematics
1 answer:
yan [13]2 years ago
5 0

Answer:

40

Step-by-step explanation:

why ? because the total angle measure in triangle is 180degree so we have a right angled triangle so 90+50 = 140

180-140 = 40

hope it's correct

You might be interested in
On a biased dice , the probability of getting a 6 is 4/5. The dice is rolled 500 times. How many sixes would you expect to roll?
tatyana61 [14]

Find 4/5 of 500.

4/5*500=400

You will roll 400 sixes.

5 0
3 years ago
Find the y-coordinate of the y-intercept of the polynomial function defined below. f(x)=2(3x+4)(x^2+2)
Salsk061 [2.6K]

Answer:

Step-by-step explanation:

The best way to find out the answer to your question is to graph the cubic. As you can see, the y intercept is (0,16).

How was this obtained. notice that if x = 0 then

f(0) = 2(3*0+4)(0^2 + 2)

f(0) = 2(4)(2)

f(0) = 16 just as the graph tells us.

3 0
3 years ago
A pond has 150 fish and the population decreases by 8% each day. How many days before there are 30 fish
nlexa [21]

Answer:

19 days

Step-by-step explanation:

Given

a = 150 --- initial

r = 8\% -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

y = ab^x

Where x represents the number of days and y the number of fishes

Because the fishes decreases;

b = 1 - r

So, we have:

b = 1 - 8\%

Express as decimal

b = 1 - 0.08

b = 0.92

In y = ab^x

a =150

y = 30

b = 0.92

So, we have:

30 = 150 * 0.92^x

Divide both sides by 150

0.2 = 0.92^x

Take log of both sides

log(0.2) = log(0.92^x)

Apply law of logarithm

log(0.2) = x\ log(0.92)

Make x the subject

x = \frac{log(0.2)}{log(0.92)}

x = \frac{-0.6990}{-0.0362}

x = 19.309

x \approx 19

<em>Hence, it takes approximately 19 days</em>

3 0
2 years ago
Factor the expression -15t-6
viktelen [127]
The only way the expression can be factored is if a -3 is pulled out...

-3(5t+2)
6 0
2 years ago
Including 5% sales tax, an inn charges $252 per night. Find the inn’s nightly cost before the tax is added
stira [4]

Hi,

To find the cost before tax, we must find out how much the tax is. So we multiply 252 x .05 to get 12.6. So we know the tax was 12.6 dollars. Now all we have to do is subtract that from the total to get our answer. 252 - 12.6 = 239.4.

Have a great day!

3 0
3 years ago
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