The right trapezoid below has been decomposed into a rectangle and a right triangle.Find it's area two ways: By summing the areas of the rectangle and triangle.

Answer: (x+2)(x+3)

Step-by-step explanation:

Find the multiples of 6 and then see which two numbers adds up to 5

Answer:

27

Step-by-step explanation:

Answer:

It is complementary.

Step-by-step explanation:

It is since the two angles add up to 90 degrees. If they were vertical angles they would be opposite and be made by intersecting lines. Complementary angles - Angles next to each other that add up to 90 degrees.     Supplementary angles : Angles that are next to each other adding up to 180 degrees.

Answer:

116 degrees.

Step-by-step explanation:

Answer: - 2.5

Step-by-step explanation:

Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.

From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.

(-3 + - 2) / 2 = - 5/2 = - 2.5

answer:

is that a quiz or a test? cuz if so, brainly doesn't let us do ur work. someone will report. but i wont. dw!

Answer:

a) 1/(7x-14)

b) 2 (36-y^2)

Step-by-step explanation:

Please let me know if you need explanation

Answer:

10/4 = [tex]\frac{10}{4}[/tex]

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

The lock requires that repetition is not allowed.

The possibles numbers are 0 - 9, that is, 10 digits.

The first number in the combination can be picked from the 10 digits.

This means that there are 10 possible choices.

The second number in the combination can now only be picked from 9 digits.

This means that there are 9 possible choices.

The third number in the combination can now only be picked from 8 digits.

This means that there are 8 possible choices.

Therefore, the number of possible outcomes in the combination is:

10 * 9 * 8 = 720 outcomes

Answer:

4.104

Step-by-step explanation:

Volume of any prism = Area of cross section x height.

so, volume = 0.6 x 1.9 x 3.6 = 4.104

Answer:

Yes

Step-by-step explanation:

This is a function,  There is a one to one correspondence between the input and the output and it would pass the vertical line test.

Answer:

24 cm² and 12 cm²

Step-by-step explanation:

Sum the parts of the ratio, 2 + 1 = 3 parts

Divide the area by 3 to find the value of one part of the ratio.

36 cm² ÷ 3 = 12 cm² ← value of 1 part of the ratio , thus

2 parts = 2 × 12 = 24 cm²

area of A = 12 cm² and area of B = 24 cm²

Answer:

3:1

Step-by-step explanation:

Answer:

4750

Step-by-step explanation:

Take 95, move the decimal. 0.95

then multiply 5000 by 0.95

Answer:

x1 = 4/3, x2 = 1/2

Value to fill in the question mark: 3

Step-by-step explanation:

The vertical asymptotes occurs when the denominator of y are 0, so the value of y goes to infinity.

So, to find the asymptotes, we need to calculate:

[tex]6x^{2} - 11x + 4 = 0[/tex]

Using Bhaskara's formula. we have:

[tex]\Delta = (-11)^2 - 4*6*4 = 25[/tex]

[tex]\sqrt{\Delta} = 5[/tex]

[tex]x_1 = (11 + 5)/12 = 4/3[/tex]

[tex]x_2 = (11 - 5)/12 = 1/2[/tex]

So the value we need to fill in the question mark is 3

Answer:

625

Step-by-step explanation:

The maximum is the y-coordinate of the vertex. The vertex is (25, 625) so the answer is 625.

Answer:

a. x = 1.2, b. A = 32.1°

Step-by-step explanation:

1.41²-.75²=x²

a. x = 1.2

sin A = 0.75/1.41

b. A = 32.1°

Answer: (2,6)

Step-by-step explanation: you go the the left 3 from F then up 2 and you have it.

Answer:

yes the graph reflects over the y-axis because if you see in the y axis the line show that it is the pont to the axis

hope it helps

Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

Answer:

105°

Solution,

[tex]let \: < def \: be \: x \\ x + 28 + 47 = 180 \\ or \: x + 75 = 180 \\ or \: x = 180 - 75 \\ x = 105 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

The total angle of a triangle is 180°. Using this we can find the angle DEF(x).

180=28+47+x

180=75+x

180-75=x

105=x

SO angle DEF=105°

Hope it helps!!

Answer:

72.8%

Step-by-step explanation:

1729 / 2375 = 0.728 -> 72.8%

Answer:

72.8 %

Step-by-step explanation:

£2375 ............ 100%

£1729 ...................x%

x = £1729×100%/£2375 = £172900/£2375 = 72.8 %

al3xis

Answer:

1,45 cubic units

Step-by-step explanation:

The method of cylindrical shells demands that the volume of the solid is given by:

[tex]V=2\pi\int_a^b xf(x)dx[/tex]       (1)

In this case you have that f(x) is:

[tex]f(x)=cos(\frac{\pi}{2}x)[/tex]

a = 0

b = 1

First, you solve the integral, by parts:

[tex]\int xf(x)dx=\int xcos(\frac{\pi}{2}x)dx=x(\frac{2}{\pi})sin(\frac{\pi}{2}x)-\int (\frac{2}{\pi})sin(\frac{\pi}{2}x)dx\\\\=(\frac{2}{\pi})xsin(\frac{\pi}{2}x)+(\frac{2}{\pi})^2cos(\frac{\pi}{2}x)+C[/tex]

Next, you calculate the volume of the solid, by replacing the solution to the integral in the equation (1):

[tex]V=2\pi[(\frac{2}{\pi})xsin(\frac{\pi}{2}x)+(\frac{2}{\pi})^2cos(\frac{\pi}{2}x)]_0^1\\\\V=2\pi[(\frac{2}{\pi})-(\frac{2}{\pi})^2]=1,45u^3[/tex]

hence, the volume of the solid generated is 1,45 cubic units

Answer:

y=-5,x=2

Step-by-step explanation:

3x+3y=-9________________eqn 1

3x-3y=21________________eqn 2

using elimination method

3x+3y=-9

-

3x-3y=21

subtract equation 2 from equation 1

0+6y=-30

6y=-30

y=-30/6

y=-5

substitute the value of y in equation 1

3x+3y=-9

3x+3(-5)=-9

3x-15=-9

3x=-9+15

3x=6

x=6/3

x=2

Answer:

(x+2)(x-2)(x^2-3)

Answer:

C(n)=1.25n

Where n= number of cans

Step-by-step explanation:

C=cost

n=number of cans

Quantity Total cost

1 $1.25

2 $2.50

3 $3.75

4 $5.00

Total cost, c(n) =1.25n

Check

Total cost when n=4

Total cost c(4)=1.25×4

Total cost c(4)=5.00

Answer:

the perimeter of Ray D. Hall park is 377 m

and the perimeter of Rex Tangle park is 400 m

and Jessica's walk is longer.

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

[tex]7\dfrac{1}{2}\div\left( 4\dfrac{1}{2}-5\dfrac{1}{8} \right)=\\\\7\dfrac{1}{2}\div -\dfrac{5}{8}=\\\\\dfrac{15}{2}\times -\dfrac{8}{5}=\\\\-\dfrac{15\times 8}{2\times 5}=\\\\-12[/tex]

Hope this helps!

Answer:

B

Step-by-step explanation:

Because you subtract 14 from the right and left of the = sign

and now we add one on tbe right and left of the = sign. so the quadratic problem would be 3x^2 + 9x -13

Answer: FALSE

You get y = 2x +4 so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.

Answer:

The answer is C

Step-by-step explanation:

got it right

Answer:

His percentage profit is 12%

Step-by-step explanation:

Here, we want to calculate the percentage profit made by the business man.

Per kg of what he is selling, he has 3 parts high quality sugar and 5 parts low quality sugar.

Now let’s see how much these costs

For the high quality sugar, it’s total kg mixed per kg will be 3/(3+5) = 3/8

Since high quality sugar costs 10 shillings per kg, 3/8 of a kg will cost 3/8 * 10 = 30/8 = 3.75 shillings

For the low quality, its part will be 5/(3 + 5) = 5/8

since low quality costs 8 shillings per kg, 5/8 of a kg will cost 5/8 * 8 = 5 shillings

Total cost price = 3.75 + 5 = 8.75 shillings

% profit = (selling price - cost price)/cost price * 100%

selling price here is 9.8 shillings per kg

while cost price is 8.75 shillings per kg

% profit = (9.8-8.75)/8.75 * 100%

= 1.05/8.75 * 100% = 0.12 * 100% = 12%