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Alona [7]
2 years ago
11

PLEASEE HELP HURRYYYYYY PLEASE

Mathematics
1 answer:
olga2289 [7]2 years ago
5 0

Answer:

12.5

Step-by-step explanation:

We can use ratios to solve

4        4+6

---- = ----------

5         AC

4        10

---- = ----------

5         AC

Using cross products

4 * AC = 5*10

4AC = 50

Divide by 4

AC = 50/4

AC =12.5

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What is the height of an isosceles trapezoid, if the lengths of its bases are 5m and 11m, and the length of a leg 4m.
pashok25 [27]

Let EB and CF be two heights. Then quadrilateral EBCF is rectangle, so BC=EF=5 m. It is given that bases are BC=5 m and AD=11 m. Triangles ABE and DCF are congruent, thus,

AE=FD=\dfrac{AD-EF}{2}=\dfrac{AD-BC}{2}=\dfrac{11-5}{2}=3.

Consider right triangle ABE, by the Pythagorean theorem

AB^2=EB^2+AE^2,\\ \\4^2=3^2+EB^2,\\ \\EB^2=16-9=7,\\ \\EB=\sqrt{7}\ m.

Answer: \sqrt{7}\ m.

5 0
3 years ago
girtue goes to the store and buys a rusy car for $55. the store has a sales tax of 5.5% how much will gertue have to pay
galina1969 [7]

Answer:

58.03

Step-by-step explanation:

What I did first to make it easier was make 5.5 to .055 and when you multiply those two together you get 3.025 which if you round it up becomes 3.03 and when you add 55 you get 58.03

5 0
3 years ago
A biologist is studying the exponential growth of a colony of bacterial cells. The table gives the
leonid [27]

The exponential function that represents the number of cells present at x hours is y = 100(2)ˣ

<h3>What is an exponential function?</h3>

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Let y represent the number of cells after x hours.

From the table, at point (0, 100):

100 = ab⁰

a = 100

At point (1, 200):

200 = 100b

b = 2

The exponential function is y = 100(2)ˣ

Find out more on exponential function at: brainly.com/question/12940982

3 0
2 years ago
According to the property √a/√b= √a/√b, which choice is equivalent to the quotient below?
garik1379 [7]

Answer:

B

Step-by-step explanation:

\frac{\sqrt{125} }{\sqrt{5}} =\frac{\sqrt{25.5} }{\sqrt{5} } =\frac{5\sqrt{5} }{\sqrt{5} } =5

If you don't understand, you can ask.

4 0
3 years ago
the RATIO of floor seats to balcony seats in a theaters is 20:1. does this theater have more floor seats or more balcony seats?
GalinKa [24]
Yes, this theater has more floor seats than balcony seats simply because of the ratio. Your answer is actually in the question. For example, if you have 100 floor seats, then according to the ratio you should only have 5 balcony seats.  So yes, there are more floor seats than balcony seats.
3 0
3 years ago
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