Find the area of the trapezoid.
4 cm
7 cm
3 cm
3 cm​

Answer:

The area of the shaded region is [tex]18\ \text{units}^2[/tex].

Step-by-step explanation:

On the attached figure, a rectangle is shown. It is required to find the area of the shaded part. The shaded part forms a triangle. The area of a triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

b is base and h is height

From this figure, each box is a square of side 1 unit say.

Its height will be 4 units and its base is 9 units

So,

[tex]A=\dfrac{1}{2}\times 9\times 4\\\\A=18\ \text{units}^2[/tex]

So, the area of the shaded region is [tex]18\ \text{units}^2[/tex].

Answer:

180cm^3

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

SI = (PRT)/100

SI = Simple Interest

P = Principal

R = Rate ( in decimal form)

T = Time

SI = (1200 x .5 x 1)/100

SI = 6000 / 100

SI = 60

All in the attachment :)

and don't complain about my drawing skills ;)

Answer:

C 12

Step-by-step explanation:

16 × 6 ÷ 8 = 12

check answer: 24 × 12 ÷ 16 = 18

Answer:

3^5 = 243 square feet

Step-by-step explanation:

Ellen’s dog has a pen that is 3² feet by 3³ feet. To find its area we follow the next steps:

1. Multiply powers:

A = 3² * 3³

2. Expand each power:

A = (3*3) * (3*3*3)

3. Simplify:

[tex]A = 3^5[/tex]

The addition of the original exponents is the exponent in the power of product. The dog pen has an area of [tex]3^5[/tex] square feet.

The area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.

The complete sentences are actually the way to solve the question and can be completed as mentioned below:

A rectangle with a length of 3 cubed feet and a width of 3 squared feet.

Find the area.

1. Multiply powers: Area = 3² · 3³

2. Expand each power: Area = (3 · 3) · (3 · 3 · 3)

3. Simplify: Area = [tex]\bold{3^5}[/tex]

The addition of the original exponents is the exponent in the power of the product. The dog pen has an area of [tex]\bold{3^5}[/tex] square feet.

Hence, the area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.

Learn more about the Area:

https://brainly.com/question/1631786

Answer:

d. (2, 0)

Step-by-step explanation:

In the picture attached, the missing table is shown.

At x-intercept, f(x) = 0, that is, if the value of the function is zero, the function intersects x-axis.

It can be seen at the picture, that f(x) = 0 when x = 2, then the point is (2, 0)

Answer:

Step-by-step explanation:

Formulas you would be using:

Volume of a pyramid: [tex]V = \frac{bh}{3}[/tex]  b = base, h = height

Area of a trapezoid: [tex]A = \frac{a+b}{2} h[/tex]  a = base₁ , b = base₂ , h = height

First, we're going to find the area of the trapezoid, which is the base of the pyramid.

We are given that a = 20, b = 30, h = 20

Plug it in:

[tex]\frac{20+30}{2} (20)[/tex] = 500 cm²

Now that we have found the base of the pyramid, we can plug it in along with the height of the pyramid.

[tex]V = \frac{(500)(27)}{3}[/tex] = 4500 cm³

Hope this helps :D

Answer:

Yes

Step-by-step explanation:

1/2 fruit cocktail—>57

broiled sirloin—>240

baked potato—>145

442 is the total so yes

Answer:  Rose

Step-by-step explanation:

Aiyanna.  1/3 of 42=  14.        1/3 =  7/21

Rose.       4/7 of 42 = 24       4/7 =  12/21    

Answer:

Aiyanna.  1/3 of 42=  14.        1/3 =  7/21

Rose.       4/7 of 42 = 24       4/7 =  12/21  

Step-by-step explanation:

Answer:

trinomial

Step-by-step explanation:

plus and minus signs separate terms.

2x^2 is a term

5x^2 is another term

-8 is another term.

The given algebraic expression is binomial.

The given expression is 2x²+5x²-8 (7x²-8).

We need to check whether the given expression is a monomial, binomial or trinomial.

The different types of algebraic expression are explained below:

Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.

Binomial: An algebraic expression which consists of two non-zero terms is called a binomial.

Trinomial: An algebraic expression of three non-zero terms only is called a trinomial.

Now, the given expression 7x²-8 as two terms.

Therefore, the given algebraic expression is binomial.

To learn more about an algebraic expression visit:

https://brainly.com/question/19245500.

#SPJ2

20 × (10 + 6) = (20 × 10) + (20 × 6)

(12 × 3) × 8 = 12 (3 × 8)

Answer:

Dependent Event

Step-by-step explanation:

Sorry if this was late!

Answer:

B

Step-by-step explanation:

Angle P and Angle Q are co- interior angles so they add up to 180 degrees

If angle P is 116, then:

116+ x= 180

(x= Angle Q)

x=180-116

x=64

Answer:

P  140 units

A  1200 units^2

Step-by-step explanation:

The length of the rectangle is 20 to -20 = 20 - -20 = 40 units

The width of the rectangle is 20 to -10 = 20 - -10 = 30 units

The perimeter is given by

P = 2 ( l+w) = 2 (40+30) = 2 (70) = 140 units

The area is given by

A = lw = 40*30 = 1200 units^2

Answer:

64 cm^2

Step-by-step explanation:

Square: 4*4 = 16

Triangles: 4((4*6)/2))

       = 4(24/2)

       = 4(12)

       = 48

Add the square and triangles together

       = 16 + 48

       = 64

The total will be 64 cm^2

Answer: 64 cm2

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

D. y = -2x + 20

Step-by-step explanation:

first, plot these points on a linear graph.

work down from the top:

A. y = 2x + 5

look at the last number first, this means the line will cross over the y axis (vertical line) at + 5. draw a point on + 5

y = 2x + 5

From this point (+5), the 2x means that for every 1 square you move across (to the right), you will go up 2. This will make the second point of the line. connect the dots. (see picture 1 below)

B. y = 2x - 6

the last number means the first point will be on -6 on the y axis.

y = 2x - 6

the 2x means that every 1 square you go across (to the right) from that point, you will move up 2

C. y = 2x

as there is no second number, this line will cross through the center of the graph. the 2 means that for every 1 square you move across from that point, you will move up 2

D. y = -2x + 20

the +20 means this line will cross the y axis and + 20, the -2 means that for every 1 square you move across to the right, you move DOWN 2.

this is the only line that moves down from left to right

Answer:

Y=8

Step-by-step explanation:

A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8

Answer: y = 8

Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".

Since we are given that the y-coordinate is 8, that means that

the equation of this line will be y = 8.

Answer:

Left group: [tex]2x^{5\\}[/tex]     Right group: 3

Step-by-step explanation:

Right group: 3.x - 21 = 3.x - 3.7 = 3 . ( x - 7 )

21 is equal 3 times 7. When we do this change, it is clear which is the common factor, which is just the number 3.

Left group: 2[tex]x^{6\\}[/tex] + 14[tex]x^{5\\} \\[/tex]  =  2[tex]x^{5\\}[/tex].x + 2[tex]x^{5}[/tex].7 = 2[tex]x^{5\\}[/tex] . (x + 7)

Explanation: From the first term we can take 2[tex]x^{5\\}[/tex] and an x is the rest. From the second term we take 2[tex]x^{5\\}[/tex] either, but here the rest is 14. That's the reason the common factor is 2[tex]x^{5\\}[/tex].

Answer:

number of math cpurses: discrete. weight of backpacks: continuous

Step-by-step explanation:

Answer:

Negative 1.5 less than negative 0.5

Step-by-step explanation:

False, negative 1.5 would not be greater than 0.5 since negative 1.5 is a negative meaning it goes to the left of the zero, so it is less than 0.

False, negative 0.5 is again less than 0 so therefore it would not be greater.

False, one half is the same as 0.5 just in word form.

That means, negative 1.5 is less than negative 0.5 since it is further away from the 0.5 going to the left.

Answer:

C. –2.5 < –2

Step-by-step explanation:

Answer:  An infinite number

We're given angles adding to 180 degrees, so we can generate as many similar triangles with these angles as we like.  They'll all have the same shape but different sizes.

Answer:

1

Step-by-step explanation:

Step-by-step explanation:

35 + 3 = 5 x 14

38 = 70

False

Answer:

false

Step-by-step explanation:

(5×7)+3

(35)+3

38

5×(2×7)

5×(14)

70

Answer:

because cosine dependency on sine - 1

Step-by-step explanation:

The unit circle has a radius of one, so the hypotenuse is 1. Sine is opposite over hypotenuse. Since the hypotenuse is 1, sine on the unit circle is the opposite side. When you look at the unit circle, the opposite side is perpendicular to the x-axis. This means that, essentially, the opposite side is the height from, or the distance from, the x-axis, which is the y-value.

a unit circle (a circle with radius one), is that if you draw a right triangle where the hypotenuse of the triangle connects a point on the unit circle with the point (0, 0), the length of the hypotenuse is always going to be one. Because that's the radius of the circle! And the length of the other two sides are just going to be the x and y coordinates of the point on the unit circle.

Take a little time drawing right triangles were the hypotenuse connects the middle of the unit circle to a point on the circle and see if you can convince yourself that this is the case.

So you have a right triangle where one side length is the x-coordinate and one side length is the y-coordinate, and the hypotenuse is equal to 1. This means you can figure out the sine and cosine of the angle that the hypotenuse and the x-axis make:

The cosine is the length of the adjacent side (which is the x-coordinate) divided by the length of the hypotenuse (which is 1). So the cosine is just the x-coordinate!

Similarly, the sine is the length of the opposite side (which is the length of the y-coordinate) divided by the length of the hypotenuse (which is 1). So the sine is the y-coordinate.

The trigonometric ratio defining the tangent (opposite over adjacent) may be less intuitive from the unit circle, but I hope you can see from the unit circle why the tangent of an angle is equal to the sine of the angle over the cosine.

Integers*?

Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.

Answer:

Volume is 3.05m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

Step one

The formula for the volume of a sphere is expressed as

V=4/3πr³

Step two

Given data

Diameter d = 1.8m

Radius r = d/2= 1.8/2= 0.9m

Step three

Substituting our given data we have

V= 4/3*3.142*0.9³

V= 4/3*3.142*0.729

V= 9.162/3

V=3.05m³

Answer/Step-by-step explanation:

This does not make a right triangle because the Pythagorean Theorem shows that 4^2 + 6^2 does not equal 8^2.

16 + 36 = 64

52 doesn't equal 64.

Answer:

This does not make a right triangle because according to the pythagorean theorem, a^2+b^2=c^2. 16+36 does not equal 64, thefore, the triangle with the following sides is not a right triangle.

Answer:

c

Step-by-step explanation:

(24 - 15) x 4 - 3 x 2

9 x 4 - 3 x 2

36 - 6

30