What is the volume of the pyramid? 2.5 cm3 5 cm3 6 cm3 7.5 cm3

Answer:

30°

Step-by-step explanation:

<KOL = <JOL - <JOK

= 58° - 28°

= 30°

Answer:

x = 36

Step-by-step explanation:

Remark

This can be done as a proportion. A proportion consists of 2 ratios which means it has 4 parts. If you know three of them, you can solve for the 4th.

We can use the following proportion

42/14 = x / 12    Notice that both ratios have tops and bottoms that use corresponding parts. Cross Multiply

14*x = 42 * 12            Combine the right

14x  = 504                 Divide by 14

x = 504/14

x = 36

Answer:

2 cats

Step-by-step explanation:

12% of 24 = 2.88

Answer:

2 cats were adopted.

Step-by-step explanation:

When finding a percentage of something, heres a trick. Just take the number you taking the perccentage of, and mutiply it by the percentage. In this case, 24*12.

24*12 = 288.

Now take that new number and divide it by 100. Now you have your answer. In this case,

288/100 = 2.88.

Becuase these are cats, we can't have or adopt half of one XD. You can't adopt half of a cat, so we round it down to 2. Meaning, 2 cats were adopted.

Answer:

f(x) = -5(x+1)(x-5)

Step-by-step explanation:

Because the x-axis of the arch is 1 and -5 and it couldn't be -1/5 because the y-axis doesn't show that.

Answer:

12.25

Step-by-step explanation:

B = 15.25 -0.06x

B = 15.25 -0.06(50)

B = 12.25

Step-by-step explanation:

3×3 = 9, so it's greater than 3

3×4/3 = 4, so it's greater than 3

3×5/5 = 3, so it's equal to 3

3x4/9 = 4/3, so it's less than 3

3x5/6 = 5/2, so it's less than 3

The solution of the equation is y = 3.

An equation between two variables that gives a straight line when plotted on a graph.

The solution to the equation is;

[tex]\rm y + 3 = -y + 9\\\\y+y=9-3\\\\2y=6\\\\y=\dfrac{6}{2}\\\\y=3[/tex]

Hence, the solution of the equation is y = 3.

To know more about linear equations click the link given below.

https://brainly.com/question/14824234

Answer:

126.19%

Step-by-step explanation:

The equation that can be used to solve for n, the smaller of the two numbers would be n² + n - 210 = 0.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

If we use n to be the smaller number of two integer numbers, then the next consecutive number is n + 1.

The product of those two numbers would become n × (n + 1) = n (n + 1).

Half of that product is n (n + 1) / 2.

And the question states that the equation is equal to 105, so the equation becomes,

n (n + 1) / 2 = 105

Now we have to simplify that equation until we get an expression equal to one of the choices,

Multiply both sides by 2

n (n + 1) = 210

n² + n = 210

Subtract 210 from both sides

n² + n - 210 = 0

Thus, the equation formed is the quadratic equation.

Learn more about quadratic equations;

brainly.com/question/13197897

Answer:

n² + n - 210 = 0 is your answer! hope it helps!

Step-by-step explanation:

Answer:

74 in²

Step-by-step explanation:

The easiest way to find the area is to imagine the rectangle as a whole rectangle, then subtract the area of the empty space.

The area of the whole rectangle can be found with:

A = b · h

A = 9 in · 11 in

A = 99 in²

So the area of the entire rectangle (with the empty space included) is 99 in².

In order to find the area of the composite figure, you need to subtract the area of the empty space, which can be found with:

A = b · h

A = 5 in · h

In order to find the height of the empty space, we can take the whole side (11 in) and subtract the values already there (4 in and 2 in).

11 in - (4 in + 2 in) = 5 in

So the height is 5 in:

A = 5 in · 5 in

A = 25 in²

The area of the composite figure is:

A = 99 in² - 25 in²

A = 74 in²

Answer:

Step-by-step explanation:

My in-head skip solutioning method...:

the 4, 5__2,9___4,4,2__=10in.___5,4__=9in.

......__74

Answer:

4(1+7x)

Step-by-step explanation:

There are 2 terms in this expression: Factorize them

4: 2 * 2

28x: 2 * 2 * 7 * [tex]x[/tex]

Which factors do both of the terms have in common?

2 and 2, which means that the GCF is 4.

Now to figure out whats inside the parentheses.

What number multiplied by 4 gives 4? 1

What number multiplied by 28x gives 4? 7x

So the final result is 4(1+7x)

Answer:

2.5

Step-by-step explanation:

5 divided by 2 equals 2.5

Answer:

See below

Step-by-step explanation:

There are   27 C 5 ways to choose 5 doctors from 27

             = 27 ! /(22!  5!)  = 80730 ways to choose 5

This is a COMBINATION.

Answer: Combination

Step-by-step explanation: It has no order of selection. It is random and can't be paired like permutation.

Compare with another response

Answer:

h(x) = (x + 1)^2 + 4/ 23+40 =49

Step-by-step explanation:

The step by step is on papamath.com

Answer:

[tex]la = 588 \: \: {cm}^{2} [/tex]

Step-by-step explanation:

Lateral area for trapezoidal prism:

- Is the sum of all the areas excluding the base area.

la - Lateral area

[tex]a = 20\\ b = 10 \\ c = 10 \\ d = 9 \\ l = 12[/tex]

[tex]la = al + \: bl + \: cl + \: dl[/tex]

[tex]la = l(a + \: b + \: c + \: d)[/tex]

[tex]la = 12(20 + 10 + 10 + 9)[/tex]

[tex]la = 588 \: \: {cm}^{2} [/tex]

d(4.4)

hope it really helps ...!!!

Answer:

30

Step-by-step explanation:

Perimeter of parallelogram = 70 ft

-> 2x + 2y = 70 .....(1)

x = 6y (Given) .....(2)

From equations (1) & (2)

2(6y) + 2y = 70

12y + 2y = 70

14y = 70

y = 70/14

y = 5

-> x = 6*5

-> x =30

This shape is called parallelogram.

perimeter : 2(base + height)

Identify the base and height

base : x ≈ 6(y)                                          [ as x is 6 times as large as y ]

height : y

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

Find x:

Answer:

165 km²

Step-by-step explanation:

First, let us find the area of the big rectangle.

Area = length × Width

Area = 15km × 13 km

Area = 195 km²

Now, let us find the area of the small rectangle.

Area = length × width

Area = 6 km × 5 km

Area = 30 km²

And now, let us find the area of the shaded region.

For that, we have to subtract the area of the small rectangle from the area of the big rectangle.

Area = 195 km² - 30 km²

Area = 165 km²

Answer:

595

Step-by-step explanation:

2 positions for 35 employees.

[tex]C(n) = (\frac{n}{k}) = \frac{n!}{(k!(n-k)!)}[/tex]

Where n = 35, total number of employees and k = 2, how many spots available

[tex]\frac{35}{2} = \frac{35!}{2!(n-k)!} = \frac{35*34}{2 * 1} = 595[/tex]

Answer:

595

Step-by-step explanation:

option A

hope it really helps...!!!

Answer:

Example 1.

A square with side lengths of 5.

5*5 = 25.

So the area would be 25 units ^2

Example 2.

A rectangle with a length of 9 and a width of 4

9*4 = 36

So the area is 36 units ^2

Answer:

A square with side lengths of 5.5*5 = 25.

Step-by-step explanation:

Answer:

208

Step-by-step explanation:

the formula is:

2*(width*lenght+height*lenght+height*width)

2*(6*8+4*8+4*6)

208

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the given figure, it is given a net of cuboid where, the length is 8m, the breadth is 6m and the height is 4m and we have to find the surface area of the cuboid.

So, the formula for finding the surface area is ;

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Surface\: area_{(cuboid)}=2(lb + bh + lh )}}}}}} \: \: \bigstar \\ \\[/tex]

Now, we'll substitute the values in the formula :

[tex]\\{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(8.6 + 6.4 + 8.4 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(48 + 24 + 32 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(104 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ { \pmb{ \frak{ { \: Surface\: area_{(cuboid)}=208 }}}}}}\: \: \\ \\[/tex]

Therefore,

Answer:

the given picture is not clear

The vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5), the correct option is C.

The vertex of a parabola is the highest or lowest point, also known as the maximum or minimum of a parabola.

The standard equation of the vertex of the parabola is;

[tex]\rm a(x - h)^2 + k[/tex]

Where h and k are the coordinates of the vertex of the parabola.

The given expression is;

[tex]\rm =3x^2 - 12x + 7\\\\= 3(x^2 - 4x) + 7\\\\ = 3[ (x - 2)^2 - 4)] + 7\\\\= 3(x - 2)^2 - 12 + 7\\\\= 3(x - 2)^2 - 5[/tex]

On comparing with the standard form of vertex of the parabola

h = 2 and k = -5

Hence, the vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5).

To know more about parabola click the link given below.

https://brainly.com/question/20333425

Answer:

x: 8.75

y: 8.5

Step-by-step explanation:

Since the two triangles are similar, you can find the scale of LJK relevant to TRS by dividing 7/4 = 1.75

This means each side of LJK is 1.75 times greater than the respective side of TRS

Now you can plug this in to the other two sides by doing 5*1.75=8.75 and 6*1.75=10.5

This solves x, but since side LK is y+2, y is 10.5-2=8.5

x=8.75

y=8.5

Answer:

the answer is 10666.6666667.

Step-by-step explanation:

40*40*40=64000

64000/ 6=10666.6666667

Answer: -130

Step-by-step explanation:

33117.7 in is the answer I believe…

Answer:

33117.7

Step-by-step explanation:

33117.7 is the perfect answer