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mel-nik [20]
3 years ago
13

Jason had to replace the floor of a triangular portion of his dining room. The portion had a height that was twice as high as th

e base. If the total area of the portion he needed to replace was 16 square feet (16ft2),how long in feet was the base of the portion he needed to replace?
Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

Answer:

4 feet

Step-by-step explanation:

We know the the area of a triangle can be represented as \frac{bh}{2}.

Since the height is twice the base, we can substitute the value 2b in as h in the expression, making it \frac{b\cdot2b}{2}. If the area is 16, we can make the equation

\frac{b\cdot2b}{2} = 16

Now to solve for b.

\frac{2b^2}{2} = 16\\\frac{2b^2}{2}\cdot2 = 16\cdot2\\\\2b^2 = 32\\\\2b^2\div2 = 32\div2\\\\b^2 = 16\\\\b=4

Hope this helped!

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One estimate of the population of the world on January 1, 2005, is
inn [45]

Answer:

8,566,379,470 people

Step-by-step explanation:

Let's start simple.  In order to find the population increase on January 1, 2006, we need to multiply 6,486,915,022 by 1.4% and add it to 6,486,915,022.

  1. 6,486,915,022*1.4% = 90,816,810.308
  2. 90,816,810.308+6,486,915,022 = 6,577,731,832.31 people on January 2006.

Note that the above two steps gives the same answer as 6,486,915,022*1.014.

So we need to do this for each year.  20 years pass between 1/1/2005 and 1/1/2025.  

We need to do 6,486,915,022*1.014*1.014*1.014... 20 times.

This is equivalent to 6,486,915,022*1.014^{20}.

Multiplying it out gives us 8566379470.2 = 8,566,379,470 people.

4 0
3 years ago
Will give brainliest plzzzzz.Which statement justifies why ∠EBC measures 90°? Given: angles ABD and DBC are complementary Point
Anettt [7]

Answer:

he sum of the measures of two complementary angles is 90 degrees

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

In this problem we have that

m∠ABD and m∠DBC are complementary

so

m∠ABD + m∠DBC=90° -----> by complementary angles

and

(m∠ABD + m∠DBC)+m∠EBC=180° -----> by a linear pair

Find the measure of angle EBC

substitute the given values

(90°)+m∠EBC=180°

∠EBC=180°-90°=90°

5 0
3 years ago
BRAINLIESTT ASAP! PLEASE HELP ME :)
antiseptic1488 [7]

Step-by-step explanation:

\displaystyle y = Acos(Bx - C) + D

According to this trigonometric function, −C gives you the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL:

\displaystyle Phase\:[Horisontal]\:Shift → \frac{-\frac{2}{3}π}{2} = -\frac{π}{3} \\ Period → \frac{2}{2}π = π

Therefore we have our answer.

Extended Information on the trigonometric function

\displaystyle Vertical\:Shift → D \\ Phase\:[Horisontal]\:Shift → \frac{C}{B} \\ Period → \frac{2}{B}π \\ Amplitude → |A|

NOTE: Sometimes, your vertical shift might tell you to shift your graph below or above the <em>midline</em><em> </em>where the amplitude is.

I am joyous to assist you anytime.

3 0
3 years ago
Read 2 more answers
Write the terms a 1a1​, a 2a2​, a 3a3​, and a 4a4 of the following sequence. If the sequence appears to​ converge, make a conjec
Arturiano [62]

Answer:

Step-by-step explanation:

WE are given that a_n = \frac{(-1)^{n+1}}{5n-4}. Then, to now the first for terms, we must replace n by 1,2,3,4 respectively. Then

a_1 = \frac{(-1)^2}{5(1)-4} = \frac{1}{1}= 1

a_2 = \frac{(-1)^3}{5(2)-4} = \frac{-1}{6}

a_3 = \frac{(-1)^4}{5(3)-4} = \frac{1}{11}= 1

a_4 = \frac{(-1)^5}{5(4)-4} = \frac{-1}{16}= 1

Note that as n increase, a_n gets closer to 0. So, the limit of this sequence is 0.

6 0
3 years ago
Multiply 32 times 6 7/24
mamaluj [8]
I think its 201.333333333
6 0
3 years ago
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