Use cubes with the given edge length to find the volume of the rectangular prisim. Check your answer using the volume formula

The value of angle 4x of the triangle is found as 60 degrees.

For the given question,

The angle of the triangle are given as;

We know that the sum of the angles of the triangle is 180 degrees.

thus,

75 + 3x + 4x = 180

7x = 180 - 75

7x = 105

x = 15

the, 4x = 4×15 = 60

Thus, the value of angle 4x of the triangle is found as 60 degrees.

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The lateral surface area of the given cylinder is equal to 43.96 square meters.

All sides of an object, not including its base and top, are considered its lateral surface . The size of the lateral surface is referred to as its area.

A cylinder with radius of r units and height h units has a lateral surface area of

A = 2πrh

The radius is 7 meters and height is 1 m.

Therefore area = 2πrh = 43.96 square meters

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First, rewrite both numbers as improper fractions.

Next, multiply both numbers. To do so, multiply the numerators and denominators sparatedly:

Since the factor 7 appears both in the numerator and the denominator, we can cancel it out:

Since 24 divided by 4 is 6, then:

Expression is a combination of numbers, variables and operators. x=14 is the solution of the expression x/2 + 4 = 11 .

Expression is a combination of numbers, variables and operators.

The given expression is x/2 + 4 = 11

x by two plus four equal to eleven.

here x is the variable

We have to keep variables on one side and numbers on other side.

Let us subtract 4 on both sides

x/2+4-4=11-4

x/2=7

Multiply two on both the sides

2(x/2)=7×2

x=14.

Among the solution -16 or -4 or 20 or 10. we dont have any value which is 14. Hence the solution is none of them.

Therefore the value of x is 14.

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Answer:

4. slope 2/3 y-intercept 1
5. slope 1/4 y-intercept -3
6. slope 3/5 y-intercept -2
7. slope 3 y-intercept -5
8. slope 4 y-intercept 2
9. slope 1 y-intercept -4
10. slope -5/2 y-intercept -6
11. slope -2 y-intercept 3
12. slope -1 y-intercept 4

Step-by-step explanation:

number that has the x attached to it is the slope, the one that has no variable next to it is the y intercept. sorry i don't have time to graph it

The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur.

The interest is calculated by:

I = Prt

Where P is the amount of the loan, r is the interest rate and t is the time of the loan.

We are given:

P = $3345

r = 10.5%

t = 87 days

Convert the interest rate to daily by dividing by 365 (assuming a calendar 365-day year):

Calculate the interest (we keep all the decimals in the calculator):

I = $3345 x 0.00028767 x 87

I = $83.72

The maturity value (final value) of the loan is:

FV = P + I = $3345 + $83.72

FV = $3428.72

According to the information given in the exercise, Xavier drank 20% of the 36 ounce cup with water.

You can write 20% as a decimal number by dividing it by 100:

Let be "x" the amount of water

The equation that represents the first step is (b) x/3 - 15 + 15 = -5 + 15

The equation is given as

x/3 - 15 = -5

In the above equation, we have:

The first step is to eliminate the constant terms from the variable terms

This is done by adding 15 to both sides of the equation

So, we have

x/3 - 15 + 15 = -5 + 15

Hence, the first step is (b) x/3 - 15 + 15 = -5 + 15

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Answer:

38 × 38 is larger than 37 × 37 by 75!

Answer:

92

Step-by-step explanation:

1) 92-2=90

2) 90/3=30

(I hope this helps!)

Regarding the Canadian coins, 1 toonies will be equal to 8 quarters.

From the information given, it was stated that 16 Canadian coins, 16 quarters is equal in value to 2 toonies.

Therefore, it's important to find the constant of proportionality. This will be:

y = kx

where y = quarter

k = constant

x = toonies

16 = 2k

k = 16/2

k = 8

The value next to 1 quarter will be:

y = kx

y = 1 × 8

y = 8

Therefore, the toonies will be equal to right quarters.

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Answer:  25%

Step-by-step explanation:

1/4 make the denominator 100

100/4 =25

times 25 by 1/4 = 25/100

Answer = 25%

The number of pumpkins that are not ripe is 15 pumpkins.

The number of spectators that were happy that UK won is 20 spectators

A fraction is a digit that is not a whole number. A fraction has a numerator and a denominator. An example of a fraction is 5/9. 5 is the numerator and 9 is the denominator.

Number of pumpkins that are not ripe = fraction of pumpkins that are not ripe x number of pumpkins

Fraction of pumpkins that are not ripe = 1 - fraction of pumpkins that are ripe

1 - 3/4 = 1/4

Number of pumpkins that are not ripe = 1/4 x 60 = 15 pumpkins

Number of spectators that were happy that UK won = fraction of spectators that were happy that UK won x number of spectators

5/9 x 36 = 20 spectators

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Answer:

y = -3x + 13

Explanation:

See photo

Using percentages we know that approximate 65% of people do not like both hamburgers and burritos.

So,  first, let's fill in the values in the table as follows:

Percentage of people who do not like hamburgers and burritos:

Rounding off: 65%

Therefore, using percentages we know that approximate 65% of people do not like both hamburgers and burritos.

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The Frisbee following a parabolic path will take  8.5 seconds to hit the ground.

Given that:

h(t) = â€" 0.07t2 - 0.007t - 5

The given equation is the parabolic equation showing the path traced by the frisbee. from the equation

h = height from ground

t = time consumed in seconds

time it takes to hit the ground will be at h = 0.  we therefore solve as follows:

h(t) = â€" 0.07t2 - 0.007t - 5

0 = 0.07t2 + 0.007t + 5

[tex]=\frac{-0.007+or-\sqrt{0.007^{2}-4*0.07*-5 } }{2*0.07}[/tex]

[tex]=\frac{-0.007+or-\sqrt{0.0049+1.4 } }{0.14}[/tex]

[tex]=\frac{-0.007+or-\sqrt{1.3951 } }{0.14}[/tex]

=8.5 or -8.5 seconds

≅ 8.5 seconds

We choose the positive which is 8.5 seconds and can therefore say that the first option is the correct option.

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Answer:

Abdul and Diane brought 137 cans in all.

Step-by-step explanation:

Abdul brought 16 packs that had eight cans each so to find how many cans he brought in total you do:

16 × 8 = 128

Diane brought 9 cans.

To find what they brought in all add the two amounts together:

128 + 9 = 137

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Answer:

If im correct it should be 1827

Step-by-step explanation:

I think i did this eqasion properly

Answer: 0.09

Step-by-step explanation:

To compare 7.123 and 7.213 you have to look at tenths place in each number. Given that 1 is less than 2, then 7.123 is less than 7.213, that is,

7.123 < 7.213

Answer: If you are asking what 0.7/0.21 is, that is 3.3 repeating.

Answer:

3.33333333

or 3.33

Answer:

225%

Step-by-step explanation:

We need to find the markup as a percentage of original.

Original price = $2

Markup = 6.5 - 2 = $4.5

So, percentage is:

4.5/2=2.25

Multiplied by 100 gives us percentage:

2.25 * 100 = 225%

The measure of the exterior angle equals the sum of the two remote interior angles

Explanation:

The measure of the exterior angle equals the sum of the two remote interior angles

then

I hope this helps you

The quadratic function only has a maximum at y = 2, and:

Here we have a quadratic function:

y = -x^2 - 4x - 2

Because the leading coefficient is negative, we know that the parabola opens downwards, then we only have one maximum which is at the vertex.

The x-value of the vertex is at:

x = -(-4)/(2*-1) = 4/-2 = -2

Evaluating in that x-value we will get the maximum:

y = -(-2)^2 - 4*-2 - 2 = -4 + 8 - 2 = 2

The maximum is y = 2.

Then:

The domain is the set of all real numbers like in all quadratics.

The range is the set y ≤ 2

And the function increases in (-∞, 2)

And decreases on (2, ∞).

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The graph that represents the equation f(x) = 3(2)^x is graph c

The equation of the function is given as

f(x) = 3(2)^x

The above equation is an exponential function

An exponential function is represented as

f(x) = ab^x

Where

By comparing the equations, we have

a = 3 and b = 2

This means that the graph cross the y-axis at y = 3 and the graph is a growth function

The graph that shows the above highlight is graph (c)

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The value of ∠1 is 140°, ∠3 is 65° and ∠5 is 115° after using the values of angles given in the figure.

According to the question,

We have a figure where some of the angles are given and we have to find angles which are numbered from 1 to 5.

In solving this question, we need to keep in mind two things. First is that the angle made on a straight line is always 180° (this will be referred to as the former part). Second is that the exterior angle of a triangle is equal to the sum of the opposite interior angles of that triangle (it will be referred to as the latter part).

So, to find ∠1, we will use the latter part.

∠1 = 80°+60°

∠1 = 140°

Now, in order to find ∠2 we will use the former part (angle made on a straight line).

∠1 + ∠2 = 180°

140° + ∠2 = 180°

∠2 = (180-140)°

∠2 = 40°

Now, to find ∠3, we will use the latter part.

∠2 + ∠3 = 105° (105° is an exterior angle)

40° + ∠3 = 105°

∠3 = (105-40)°

∠3 = 65°

Now, to find ∠4,  we will use the former part.

∠4 + 105° = 180°

∠4 = (180-105)°

∠4 = 75°

Now, after looking at the figure, it can be clearly seen that ∠5 is an exterior angle.

So, we have:

∠5 = ∠4 + 40°

∠5 = 75° + 40°

∠5 = 115°

Hence, the value of ∠1 is 140°, ∠3 is 65° and ∠5 is 115°.

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Answer:

Answer is A

Step-by-step explanation:

Tan (degree of angle) =(opp/adj) this will be the formula used.
The angle of the degree is 61.
The adjacent side is the one with the 90 degree box and the angle.
Opposite will be the side right in from of the degree that is given. The one without 90 degrees, in most cases though.

Have a great day Sir <3

If we solve  4x-3y=3, -8x +6y=-6 by substitution or elimination, we will have x=3/4 and y=0

We have the following simultaneous equations:

4x-3y=3.....................(i)

-8x+6y=-6..................(ii)

We solve using substitution:

Make x the subject of formula in equation(i):

4x=3+3y

x=(3+3y)/4

Now, replace the value of x in equation(ii)

-8x+6y=-6, and x=(3+3y)/4

-8((3+3y)/4)+6y=-6

-2(3+3y)+6y=-6

-6-6y+6y=-6

y=0

Now, we replace the value of y=0 in any equations we have to find the corresponding value of x:

4x-3y=3, but y=0

4x-3(0)=3

4x=3

x=3/4

Hence, x=3/4, y=0

The question was incomplete, the complete question is given below:

solve by using substitution or elimination by addition. 4x-3y=3 -8x+6y=-6

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Applying the distribution property of equality, -3xy(2xy² - xy + y²) = -6x²y³ + 3x²y² - 3xy³.

The distribution property of equality is a property of equality which is used to pen up parentheses in a given polynomial operation.

For example, given that a(b + c), we can expand of remove the parentheses by using the term "a" to multiply every term within the parentheses, that is b and c. Thus, we would have:

a(b + c) = a(b) + a(c) [distribution property of equality]

a(b + c) = ab + ac.

Given the polynomial expression, -3xy(2xy² - xy + y²):

-3xy(2xy² - xy + y²)

-3xy(2xy²) -3xy(-xy) -3xy(y²) [distribution property of equality]

-6x²y³ + 3x²y² - 3xy³

Therefore, -3xy(2xy² - xy + y²) = -6x²y³ + 3x²y² - 3xy³.

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Part A: Solving for angle measure A

Part B: Finding Arc CE

Part C: Finding ang measure C

Part D: angle measure D

Part E: angle measure ABE