Given the rectangle below, find the measure of

Answer:

87

Step-by-step explanation:

Split into three rectangles

Shape 1: 12 by 3    12×3=36

Shape 2: 3 by 5    3×5=15

Shape 3: 12 by 3   12×3=36

36+15+36=87

Answer:

87 yds

Step-by-step explanation:

simply break the shape into 3 smaller rectangles and find the area of each one

1st one [tex]12*3=36[/tex]

2nd one[tex]5*3=15[/tex]

3rd one[tex]12*3=36[/tex]

add up the areas [tex]36+36+15=87[/tex]

We know that,

[tex]V = \frac{1}{3} (a{}^{2} + ab + b{}^{2})h \\ [/tex]

Also,

[tex]l {}^{2} = h {}^{2} + (b - a) {}^{2} [/tex]

[tex]6{}^{2} = h {}^{2} + (9 - 5) {}^{2} [/tex]

[tex]36 = h {}^{2} +16[/tex]

[tex]h {}^{2} = 36 - 16[/tex]

[tex]h = \sqrt{20} [/tex]

[tex]h = 4.47[/tex]

Now , putting the value in the formula of volume

we get,

[tex]V = \frac{1}{3} (5{}^{2}+ 5 \times 9 + 9{}^{2})4.47 \\ [/tex]

[tex]V = \frac{1}{3} (25 + 5 \times 9 + 81)4.47 \\ [/tex]

[tex]V = \frac{1}{3} (25 + 45 + 81)4.47 \\ [/tex]

[tex]V = \frac{1}{3} \times 151 \times 4.47 \\ [/tex]

[tex]V = 224.99[/tex]

Hence, the volume of the given frustum is 224.99 cubic unit

Answer:

62

Step-by-step explanation:

93÷150=0.62

×100 = 62

Hope this helps!!!!

Answer:

62

Step-by-step explanation:

Divide

93/150% = 62

(100*93) / 150

9,300/150 = 62

187.15 divided by 19 is 9.85.

9.85 x 40 = 394

Therefore she earns $394 if she worked 40 hours.

Answer: $394

Answer:

to find the mean you must add all of the numbers in a data set together and then divide by how many numbers there are.

Answer:

give brainliest?

Step-by-step explanation:

the mean or average of a data set is found by adding all numbers in the data  and then dividing by the number of values in the set.

For example, if you have 10 numbers, you add them up and divide by 10. This would give you the mean of the data.

Here's another example with the numbers: 9,8,22,7,7,8,17

First add the numbers up: 9+6+20+7+7+8+20+2+2 = 81 Then divide 81 by the total number of data points, 9, and you get 9.

Theerefore the mean is 9.

Answer:

10x-3y=12

Step-by-step explanation:

In algebra, we always add alike terms. Meaning, when a set has numbers with the same variable, in this case it was x, we can add/substract/divide them to simplify the equations.

Answer:

for lines to be Parallel it means they will never touch. Think of train tracks. The two rails will never touch each other. For lines to be perpendicular they have to meet each other to form a corner. think the edge of a desk.

Answer:

C. y≥2

Step-by-step explanation:

y+5≥7

You must subtract 5 from both sides

y≥7-5

y≥2

Answer:

x = -7

Step-by-step explanation:

Replace the x with -7 and add 4 to -7 to get -3. Then multiply by 7 to get -21.

Answer:

Step-by-step explanation:

multiply all the terms in the bracket by 7

make x the subject of formula

subtract the value

divide both side by 7

divide -49 by 7

Step-by-step explanation:

I solved it by steps...

I hope you understand...

Part A

Answers:

-------------------------

Explanation:

The two terms are separated by a plus sign. Since we have two terms, we have a binomial.

The variables are p and q, acting as placeholders for unknown numbers.

The coefficients are the numbers to the left of the variables, which are the 4 and 7.

The degree of multivariable polynomials is found by adding up the exponents for each term, then picking the largest sum. In each case, we get a sum of 3 for each monomial. The degree of the entire polynomial is therefore 3.

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

Part B

Answer:   t^3 - 20t + 26

-------------------------

Explanation:

We have an expression of the form

(6t^3-3t+5) - x = (5t^3 + 17t - 21)

which rearranges to

-x = (5t^3 + 17t - 21) - (6t^3-3t+5)

-x = 5t^3 + 17t - 21 - 6t^3 + 3t - 5

-x = (5t^3 - 6t^3) + (17t+3t) + (-21-5)

-x = -t^3 + 20t - 26

x = -(-t^3 + 20t - 26)

x = t^3 - 20t + 26

Answer:

Let brother's present age be x and sister's present be y

x=y+3

5 years ago

x-5/y-5=4/3

Putting the value of x

y+3–5/y-5=4/3

y-2/y-5=4/3

3(y-2)=4(y-5)

3y-6=4y-20

y=14

x=14+3=17

Brother's present age =17years, sister's present age=14years

The multiples of 5 include 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80...

Given that its a straight line, so the sum of three angles is 180°

So possible angles:

..

Answer:

x = 100

Step-by-step explanation:

57 + x + 23 = 180

x + 80 = 180

x = 100

Answer:

100

Step-by-step explanation:

180-57

=123

123=x+23

x=123-23

x=100

Answer:

7, 10, 13, 16

Step-by-step explanation:

Given,

Frist term=7

term-to-term rule is add 3

Therefore first three terms will be

7, 7+3=10, 10+3= 13, 13+3=16

Answer:

47.13

Step-by-step explanation:

Answer:

mm99

Step-by-step explanation:

Answer:

D.45

take the problem then times it by all your payments by each individual price

Step-by-step explanation:

½+⅛ = ⁴/8 + ⅛ = ⅝

bold one's are answer.

hope this helps you.

Answer:

ion kno gang ask a teacher

Answer:

Exterior angle bisectors of the side △ABC at vertices B and C intersect at D. Find ∠BDC if ∠BAC=40∘

Step-by-step explanation:

d + c = 19

100d + 15c = 1390

we can simplify the second equation

20d + 3c = 278

now d + c = 19

c = 19 - d

3c = 57 - 3d

now plug into second equation

20d + 57 - 3d = 278

17d = 278 - 57

17d = 221

d = 221 / 17

d = 13

now we can plug this into the first equation

13 + c = 19

c = 19 - 13

c = 6

13 dogs were sold and 6 cats were sold

Answer:

sub to juice_fox. ?....

Using function theory, the function that could represent this situation is

f(x) =  |42. 67 – x| .

It is given that

The standard diameter of the golf ball = is 42.67

Allowable discrepancy = ±0.002

So upper limit of diameter = 42.672

The lower limit of diameter = 42.668

We need a function that can help in finding a discrepancy.

A function is a rule which determines the relation between two variables.

The correct function that could represent this situation will be

f(x ) = |42. 67 – x|

Where x is the diameter of the ball produced.

For example, if a ball of diameter 42.665 is produced

f(x) =  |42. 67 – x|

f(42.665) =  |42. 67 – 42.670| = 0.005 which is more than the permitted tolerance i.e 0.002.

So, one can easily decide whether to stop production or not.

Therefore, the function that could represent this situation is

f(x) =  |42. 67 – x| .

To get more about function visit:

https://brainly.com/question/25638609

Answer:

7

Step-by-step explanation:

√50 is close to √49

49 is a perfect square, 50 is close to 49.

√49 = 7

√50 ≈ 7.071068

Answer:

7

Step-by-step explanation:

[tex]\sqrt{50} =7.07[/tex]

Hope this helps  

Answer:

A) 96 cm

Step-by-step explanation:

Split into three parallelograms

Shape 1: 6 by 7     6×7=42

Shape 2: 3 by 4    3×4=12

Shape 3: 6 by 7    6×7=42

42+12+42=96

Answer:

96 cm

Step-by-step explanation:

Breaking the shape up into 3 smaller rectangles then finding the area of each gives us the total area

[tex]6*7=42*2=84[/tex]

[tex]3*4=12[/tex]

[tex]84+12=96[/tex]

Answer: C. is not correct because angle 2 and angle 5 are same side interior angles. Same side interior angles of parallel lines always add up to 180 degrees. Therefore, the only way angle 2 would be equal to angle 5 would be if they were both 90 degrees, which the two angles are not always right angles.

Answer:

[tex]2\sqrt{46}[/tex]

Step-by-step explanation:

The factor of the 184 will be 2 × 2 × 46. Then the expression is equivalent to the expression 2√46, Then the correct option is B.

The equivalent is the expression that are in different forms but are equal to the same value.

The given expression is √184.

Then the factor of the 184 will be

184 = 2 × 2 × 46

Then the square root of 184 will be

√184 = 2√46

More about the equivalent link is given below.

https://brainly.com/question/889935

Answer:

The oil would produce 70,680 barrels in April.

Step-by-step explanation:

There are 30 days in April.

2356 x 30 = 70,680

Answer:

1. 7(g-5)

2. 12(5m+2n)

3. 2(11w+5)

4. 8(5a+b-3)

5. 4(r+7t-10)

Step-by-step explanation:

simply take out the most common multiple of these numbers

Answer:

aₙ=0.25*10ⁿ.

Step-by-step explanation:

0.25*10=2.5; 2.5*10=25; 25*10=250.., then it can be written as aₙ=0.25*10ⁿ