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3 years ago

Directions: Solve for x. Please help

Mathematics

1 answer:

aksik [14]3 years ago

7 0

Answer:

Step-by-step explanation:

Since the whole right side of that triangle is equal to 28 and the lower portion is 21, then we know the upper portion is 7. Set up a proportion using those sides and the fact that the 2 triangles are similar:

$\frac{7}{21} =\frac{x}{18}$ and cross multiply to get

21x = 126 and

x = 6

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The ratio of fishing boats to sailboats in a bay is 8:3. There are a total of 24 sailboats in the bay. How many fishing boats ar

lianna [129]

Answer:

The number of fishing boats in the bay = 64.

Step-by-step explanation:

The total number of sailboats = 24

Let us assume the number if fishing boats in the bay = m

⇒ Ratio of fishing boats to sailboats in a bay = m : 24.

Now, the ratio of fishing boats to sailboats in a bay is 8 : 3.

So, by the RATIO OF PROPORTION:

$\frac{m}{24} = \frac{8}{3} \implies m = \frac{8}{3} \times 24 = 64$

⇒ m = 64

Hence the number of fishing boats in the bay = 64.

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2 years ago

The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t2 − 0.5t + 3.5

N76 [4]

We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be

m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

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At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
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The slope would then be

m = (9.5-3.5)/(6-2)
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3 years ago

Read 2 more answers

The city planning committee wants one tree planted every 20 ft along Dayton Ave. if the perimeter of the plot of land is 234 ft

Vladimir [108]

Answer:

2 trees

Step-by-step explanation:

Since the city is planting a tree every 20 feet across Dayton Avenue, then we need to find the length of the side that is on Dayton Avenue.

We are missing 3 sides to this. But it's extremely important to note that the side adjacent to Dayton Avenue is the same length as the other missing two sides combined. This is because both of these lengths contain the 1 feather and 2 feather mark - these signify congruence.

This means that the side lengths of both of them combined will be $234-52-68=114$

This means the side adjacent to Dayton Avenue is

$114\div2=57$ feet long.

Now that we know that the side is 57 feet long, we have to divide this by 20, as a tree is being placed every 20 feet. If we get a decimal, we will have to round down because it gets planted only, and only if, 20 more feet has been accomplished. If we are a fraction of the way there, a tree doesn't get planted.

$57\div20=2.85$