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MArishka [77]
4 years ago
9

The two pentagons are similar. Find the missing side lengths.

Mathematics
1 answer:
Lena [83]4 years ago
5 0
Where is the figure??
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A group of friends wants to go to the amusement park. They have no more than $310
Marizza181 [45]

Answer: 35x+9\leq 310,\ 8

Step-by-step explanation:

Given

A group of friends has $310 to spend

Parking costs $9 and ticket cost $35 per person

Suppose  there are x friends who go to amusement park

So, the cost of tickets and parking must be less than or equal to $310

\Rightarrow 35x+9\leq 310\\\text{Subtract 9 from both sides}\\\Rightarrow 35x\leq 301\\\text{Divide both sides by 35}\\\Rightarrow x\leq 8.6

This indicates that there sholud be maximum 8 persons who can go to amusement park with this much money.

5 0
3 years ago
SMART STUDENT PLEASE NEED GOOD MATH STUDENT​
tangare [24]

Answer:

Therefore 'x' is equal to 65.4°

Step-by-step explanation:

In Right Angle Triangle ABC

∠ B = 90°

AC = Hypotenuse = 12

CB = Adjacent Side = 5

To Find:

∠ C = x

Solution:

In Right Angle Triangle ABC Cosine Identity we have

\cos C = \frac{\textrm{side adjacent to angle C}}{Hypotenuse}\\

Substituting the values we get

\cos C = \dfrac{CB}{AC}=\dfrac{5}{12}

\angle C = \cos^{-1}(0.4166)=65.37=65.4\°

Therefore 'x' is equal to 65.4°

8 0
3 years ago
If y varies inversely with x, and y=8 when x=10 find x when y=4
lana66690 [7]

Answer:

x = 4

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 8 when x = 10

k = yx = 8 × 10 = 80

y = \frac{80}{x} ← equation of variation

When y = 4, then

4 = \frac{80}{x} ( multiply both sides by x )

4x = 80 ( divide both sides by 4 )

x = 20

7 0
3 years ago
How do I answer part A?
Katyanochek1 [597]
You shade in the boxes
7 0
3 years ago
ABC is a right-angled triangle.
Amiraneli [1.4K]

Answer:

14.5

Step-by-step explanation:

The pythagoreom theorum shows a^2 + b^2 = c^2. Therefore, c^2 - a^2 = b^2

256 - 44.89 = 211.11

The square root of 211.11 rounded to the first decimal place is 14.5

8 0
3 years ago
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