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3 years ago

1. Knowing that the area of a rectangle and a parallelogram is (base * height), use the given side length and

Mathematics

1 answer:

astraxan [27]3 years ago

4 0

Answer:

51.84sq

Step-by-step explanation:

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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point.

Serga [27]

Answer:

(8,-3)

Step-by-step explanation:

The given parabola is

$y = - 3 {x}^{2} + 48x - 195$

We factor -3 from the first two terms to get:

$y = - 3( {x}^{2} - 16x) - 195$

Add and subtract the square of half the coefficient of x

$y = - 3( {x}^{2} - 16x + 64) + 3 \times 64- 195$

$y = - 3 {(x - 8)}^{2} + 192 - 195$

We simplify to get:

$y = - 3 {(x - 8)}^{2} - 3$

We compare this to y=a(x-h)²+k,

The vertex is (h,k)=(8,-3)

3 0

3 years ago

Please helppppp me lol I will give the brainliest

MrMuchimi

Answer:

the first one

Step-by-step explanation:

22.46 MB + 13.312 MB + 11.7 MB = 47.472 MB

6 0

3 years ago

Read 2 more answers

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,159 was collected on the sale of 1,339 ticket

ivolga24 [154]

Answer:

455 adult tickets
884 student tickets

Step-by-step explanation:

Let "a" represent the number of adult tickets sold. Then 1339-a is the number of student tickets sold. The revenue collected was ...

5a + 1(1339-a) = 3159

4a = 1820 . . . . . . subtract 1339, collect terms

a = 455 . . . . . . . . divide by 4; adult tickets sold

(1339-a) = 884 . . . . student tickets sold

455 adult tickets and 884 student tickets were sold.

5 0

3 years ago

Find the area. 7 in. 5 in. 12 in.

vitfil [10]

Answer and Step-by-step explanation:

The area formula for a trapezoid is as follows:

A = $\frac{a + b}{2}h$

Where:

A = Area

a = top side length

b = bottom side length

h = height

Plug in the values given to you into the equation and solve.

A = $\frac{7 +12}{2}(5)$

A = $\frac{19}{2}(5)$

A = $\frac{95}{2}$

A = 47.5 $in.^2$ is the answer.

#TeamTrees #PAW (Plant And Water) #ALM (All Lives Matter)

6 0

3 years ago

Identify the exact value of 157.5°

steposvetlana [31]

exact value of sin 157.5 without using a calculator
sin(157.5)=sin(315/2)
Identity: sin(x/2)=±√[(1-cosx)/2]
select positive identity since 175 is in the 2nd quadrant where sin>0
sin(315/2)=√[(1-cos315)/2]

cos 315=cos45 in quadrant IV=√2/2
sin(315/2)=√[(1-√2/2)/2]=√[(2-√2)/4]=√(2-√2)/2
sin(157.5)=√(2-√2)/2
check using calculator:
sin157.5º≈0.382...
√(2-√2)/2≈0.382...

8 0

3 years ago