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2 years ago

This figure consists of a rectangle and semicircle.

Mathematics

1 answer:

madreJ [45]2 years ago

6 0

Answer:

hope it helps!

Step-by-step explanation:

Perimeter includes three sides of rectangle:

15m + 12m + 15m

Plus half of circle with diameter 12m

Circumference = diameter * PI

Circumference = 37.68m.

1/2 circumference = 18.84m

Total perimeter is 15m+12m+15m+18.84m

60.84m

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| 15x + 5y = 20<br> 1 - 3x = y + 6

Zina [86]

Answer:

There isn’t a solution to this when using substitution or elimination.

Step-by-step explanation:

4 0

3 years ago

What is an

mash [69]

Answer:

your answer is y = -x - 3

Step-by-step explanation:

Slope is -1

Y intercept is -3

y = mx + b

substitute

5 0

2 years ago

Read 2 more answers

Write the equation of a line perpendicular to y=3x+1and goes through the point ( 6,2) y=−13x+4 y=−13x−4 y=3x+4 y=3x−4

Korolek [52]

Answer:

$y=-\frac{1}{3}x+4$

Step-by-step explanation:

step 1

Find the slope of the perpendicular line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal

(the product of their slopes is equal to -1)

In this problem

we have

$y=3x+1$

The equation of the given line is $m=3$

the slope of the perpendicular line to the given line is

$m=-\frac{1}{3}$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{3}$

$(x1,y1)=(6,2)$

substitute

$y-2=-\frac{1}{3}(x-6)$

Convert to slope intercept form

$y=mx+b$

Distribute right side

$y-2=-\frac{1}{3}x+2$

$y=-\frac{1}{3}x+2+2$

$y=-\frac{1}{3}x+4$

6 0

3 years ago

F(t)=t^2+19t+60<br> What are the zeros of the function and what is the vertex of the parabola?

SVEN [57.7K]

Answer: $-4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

Step-by-step explanation:

Given

Function is $F(t)=t^2+19+60$

Zeroes of the function are

$t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15$

Using completing the square method

$y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

4 0

3 years ago

Round 789 to the nearest 10

elena-14-01-66 [18.8K]

Rounding 789 nearest to tens will be 790.

Step-step Explanation:

Let's know how to round any number nearest to tens (Rules):-

We know tens place in any no. from left is at second place and number right to tens place need to be changed as:-

If last digit is 0, then we don't have to do any rounding, because it is already to the ten.

We round the no. down to the nearest ten if the last digit in the no. is 1, 2, 3, or 4

We round the no. up to the nearest ten if the last digit in the no. is 5, 6, 7, 8, or 9.

3 0

2 years ago