100+10-8+60-80+700+20-150

Answer:

Perimeter: 53cm Area: 90cm²

Step-by-step explanation:

For the perimeter, we just add all of the sides of triangle ABC. We have two of them, but we need the length of BC. Using Pythagorean Therom on triangle BCD, we get this length to be 13. So, 13+25+15= 53 cm.

For the area, we can take the area of the big triangle ADB and subtract the area of triagle BCD so that we are left with the area for triangle ABC. Using Area= .5 x base x height, we get that the area of the large triangle is 120cm² and the area of the small triangle is 30 cm², leaving the area of ABC to be 90 cm².

(Note: the formula for area of the triangle only works on triangles with a right angle or triangles were the height and base are perpendicula, so simply doing .5 x 15 x 12 will not work. However, .5 x 15 x 12 does work because it is perpendicular.)

Answer:

Step-by-step explanation:

-24<=x<=24

I'm on my phone and can't access the less than equal to sign.

Answer:

Yes, the outdoor ice skating rink should be installed.

Step-by-step explanation:

We can reach this conclusion after simulating the profit for each possible scenario made by The US weather service estimates:

For 80-day suitable weather per year:

For 100 days suitable weather per year:

For 120 days suitable weather per year:

Threfore, we notice that the 22% per year rate of return before taxes criteria was met in each of the possible scenarios, making the endeavor worthwhile.

Answer:

-1 is not in domain

0 and 2 both are in domain.

Explanation:

The radical function must have the domain greater or equal to 0. Here is why.

If we substitute any negative numbers in the equation

[tex]y = \sqrt{x} [/tex]

Then we would get the Imaginary Number, meaning it doesn't exist in Real Number system. That's why any negative real numbers cannot be part of the domain.

But that's for y = square root of x. There are like 4 types of radical function but this one is for example.

The equation in the question is the same type as the example equation.

Answer:

x+8

Step-by-step explanation:

if you're wrong its your fault

CP=RS20

SP=RS24

NOW ‚

Profit=SP-CP

=Rs24-Rs20

=Rs4

Answer:

y=6x-4 is double y=3x-2

Step-by-step explanation:

Answer:

No, it is much too low.

Step-by-step explanation:

28 students x 2 papers per day x 81 days = 4,536 pages

Answer: He for three red bags and one yellow.

Step-by-step explanation:

3x7=21

1x3=3

21+3=24

Answer:

3 bags of red and 1 bag of yellow onions.

Step-by-step explanation:

7 + 7 + 7 + 3 = 24

Answer:

12

Step-by-step explanation:

This triangle is an isosceles triangle, meaning at least two sides are equal. The side AB is equal (or is congruent) to BC, as the angles (46 degrees) are the same on both sides.

AB = BC

12 = BC

Hope this helps!

Answer:

47mph

Step-by-step explanation:

divide 141 by 3

Answer: 47

Work: To find the rate of speed, you divide 141 by 3, and you get 47 mph.

Answer:

explain further pls so i can give u the correct answer

Step-by-step explanation:

Answer:

7^3

Step-by-step explanation:

Answer:

C. [tex]B(x,y) = \left(3,-\frac{16}{3} \right)[/tex]

Step-by-step explanation:

Let [tex]A(x,y) = (6,-7)[/tex], [tex]B(x,y) = (x,y)[/tex] and [tex]C(x,y) = (-3,-2)[/tex]. From statement we know that [tex]AB = \frac{1}{2}\cdot BC[/tex], which is equivalent to the following linear algebraic formula:

[tex]B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)][/tex] (1)

[tex]B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)[/tex]

[tex]\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)[/tex]

[tex]B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)[/tex] (2)

Then, the coordinates of point B on AC are:

[tex]B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)[/tex]

[tex]B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)[/tex]

[tex]B(x,y) = \left(3,-\frac{16}{3} \right)[/tex]

Which means that correct answer is C.

Answer:

1.40

Step-by-step explanation:

I feel if you divide $14.00 by 10 you would get 1.40, so  I say this should be the right answer.

I apologize if I am incorrect.

Answer:

The cost per pound is 1.4.

Step-by-step explanation:

If you divide 14 and 10 it makes 1.4.

Answer:

The variable in that expression is x

Answer:

the variable is x!!!!! :))))))))))))

Answer:

WyM.They are both the same ma'am or sir.If you put them as a decimal you will get 0.60

Step-by-step explanation:

Answer:

sir or mam the answer is B.

Answer:

Answer: 18.6 is your answer because there is nothing behind the 6

Step-by-step explanation: hope this help :)

Given,

CP of cosmetics = Rs 360 per dozen

SP of a pair of cosmetics = Rs 80

To find,

The gain percent

Solution,

1 dozen = 12 items

CP of 1 cosmetic = 360/12 = Rs 30

SP of 1 cosmetic = 80/2 = Rs 40

Profit = SP-CP

= Rs 40 - Rs 30

= Rs 10

Profit percentage is given by :

[tex]\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%[/tex]

So, the profit percentage is 33.34%.

Answer:

Expert Verified

Step-by-step explanation:

the diameter is 57.2 in, then the radius is half that, or 28.6 in. The volume of a sphere is V = (4/3)πr³, and so the volume of this hemisphere is (2/3)πr³

The volume of the hemisphere given its diameter is 47,697.7 in³.

The volume of an object is the amount of space that is in the object. A hemisphere is a three-dimensional object that has the shape of a semicircle.

The volume of the hemisphere = 2/3πr³

r = 56.7 / 2 = 28.35 in

2/3 x 28.35³ x 3.14 = 47,697.7 in³

To learn more about the volume of a hemisphere, please check: https://brainly.com/question/26840364

#SPJ2

Answer:

12

Step-by-step explanation:

Answer:

d. -2x²+3x-7

Step-by-step explanation:

Standard form is: Ax²+Bx+C

Answer:

[tex]\boxed{m = \frac{1}{4}}[/tex]

.

Step-by-step explanation:

Use the form below

[tex]\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}[/tex]

Where

.

So, the slope is

[tex](2,~ 1) \to x_1 = 2~and~y_1 = 1[/tex]

[tex](6,~ 2) \to x_2 = 6~and~y_2 = 2[/tex]

.

[tex]m = \frac{2-1}{6-2}[/tex]

[tex]m = \frac{1}{4}[/tex]

.

Happy to help:)

Answer:

[tex]\boxed {\boxed {\sf m=\frac{1}{4}}}[/tex]

Step-by-step explanation:

The slope of a line can be found using the slope formula or dividing the change in y by the change in x.  

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

We are given the points (2,1) and (6,2). Therefore:

[tex]x_1=2 \\y_1= 1\\x_2= 6\\y_2=2[/tex]

Substitute the points into the formula.

[tex]m=\frac{2-1}{6-2}[/tex]

Solve the numerator.

[tex]m=\frac{1}{6-2}[/tex]

Solve the denominator

[tex]m=\frac{1}{4}[/tex]

This fraction cannot be reduced further, so it is the slope. It can be written as a decimal too:

[tex]m= 0.25[/tex]

The slope of the line is 1/4 (0.25)

Answer:

Step-by-step explanation:

We know it's a square and that the area is length times width.

So we can square root the given area which is 7sq.m

Therefore the lengths of the sides are 7 m.

===================================

Work Shown:

First evaluate f(2)

[tex]f(x) = 4x^3-10\\\\f(2) = 4(2)^3-10\\\\f(2) = 4(8)-10\\\\f(2) = 32-10\\\\f(2) = 22\\\\[/tex]

This means g(f(2)) = g(22). We replace f(2) with 22.

Now evaluate g(22)

[tex]g(x) = \frac{3x-4}{2}\\\\g(22) = \frac{3*22-4}{2}\\\\g(22) = \frac{66-4}{2}\\\\g(22) = \frac{62}{2}\\\\g(22) = 31\\\\[/tex]

Therefore, g(f(2)) = 31.

Answer:

D

Step-by-step explanation:

Let's start with f(2)

Substitute 2 as x in f(x)

4(2)^3-10

32-10

22

now take g(22) (f(x) is equal to 22) and substitute x as 22

(3(22)-4)/2

(66-4)/2

62/2

31

Answer is D

Hope this helps!