Natalie wants to use a sheet of fiberboard 30 inches long to create a skateboard ramp with a 28 angle of elevation from the ground

Answers

Answer 1

Answer:

You should raise one side 14 inches

Step-by-step explanation:

I used a right angle triangle calculater at this sight

https://www.calculator.net/right-triangle-calculator.html


Related Questions

what is a phrase that 18c can represent (written answer)

Answers

A phrase that 18c can represent is the product of 18 and a number c

How to determine the phrase?

The expression is given as:

18c

Rewrite as:

18c = 18 * c

The above represents the product of two factors; 18 and c

Hence, a phrase that 18c can represent is the product of 18 and a number c

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Does this graph represent a function? Why or why not?
8-
-10 804
-10-
OA. Yes, because it passes the vertical line test.
B. No, because it fails the vertical line test.
OC. Yes, because it is a curved line.
O D. No, because it is not a straight line.
*+

Answers

The graph represents a function because (a) Yes, because it passes the vertical line test.

How to determine the temperature at midnight?

The information that completes the question is added as an attachment

For a graph to represent a function, the graph must pass a vertical line test.

The vertical line test is such that a line drawn from the x-axis must intersect with the graph at only one point.

Based on the criteria above, the given graph would pass the vertical line test.

Hence, the graph represents a function because (a) Yes, because it passes the vertical line test.

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The sum of the volume of two rectangular prisms, box a and box b are 14.325cm cubed. Box a has a volume of 5.61cm.

Answers

The equation that could be used to determine the volume of Box B is (B = 14.325cm³ - 5.61cm³) and the volume of Box B is 8.715cm³.

This question is incomplete, the complete question is:

The sum of the volume of two rectangular prisms, box a and box b are 14.325cm cubed. Box a has a volume of 5.61cm.

a. Let B represent the volume of Box B in cubic centimeters. Write an equation that could be used to determine the volume of Box B.

b. Solve the equation to determine the volume of Box B

What is volume?

Volume is simply the amount of space that is enclosed within a container.

Given that;

Sum of the volume of two rectangular prisms A&B = 14.325cm³Volume of Box A = 5.61cm³

a)

Let B represent the volume of Box B in cubic centimeters. The equation that could be used to determine the volume of Box B will be;

Sum of the volume of two rectangular prisms A&B = Volume of Box A + Volume of Box B

14.325cm³ = 5.61cm³ + B

B = 14.325cm³ - 5.61cm³

Hence, The equation that could be used to determine the volume of Box B is B = 14.325cm³ - 5.61cm³

b)

To determine the volume of Box B, we solve the equation.

B = 14.325cm³ - 5.61cm³

B = 8.715cm³

Hence, the volume of Box B is 8.715cm³.

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Find the value of x.

Answers

Answer: 18

Step-by-step explanation:

By the angle bisector theorem, [tex]\frac{x}{48} =\frac{12}{32} \longrightarrow x=\boxed{18}[/tex]

Please help me answer this question.

Answers

Answer:

86%

Step-by-step explanation:

each shaped area represent 1% so you divide or subtract the unshaped area with the shaped area.

PLEASE HELP
What is the area of the whole target?

Select the correct answer.

Answers

Answer:

The first one with the number 38

Step-by-step explanation:

Which of the triangles shown are scalene triangles? (2 points)

A group of triangles. Triangle A has three acute angles and two equal sides. Triangle B has two acute angles, one ninety degree angle, and two equal sides. Triangle C has three acute angles and two equal sides. Triangle D has two acute angles and one obtuse angle. All the sides on this triangle are different lengths.
Triangle A and Triangle B
Triangle C
Triangle B and Triangle D
Triangle D

Answers

Answer:

Triangle D.

Step-by-step explanation:

A scalene triangle has different sides.

−3x(−4x+x)−x(−x−2x)−4x(4x+3x)

Answers

Answer:

[tex] - 3x( - 4x + x) - x( - x - 2x) - 4x(4x + 3x) \\ \\ = 12 {x}^{2} - 3 {x}^{2} + {x}^{2} + 2 {x}^{2} - 16 {x}^{2} - 12 {x}^{2} \\ \\ = - 16{x}^{2} [/tex]

Which of the following is an example of combination?

a
Form a passcode with 4 digits
b
Choose President, Vice-President and Secretary.
c
Choose 4 students in a class committee out of 35 members
d
Students line up to go to an assembly.

Answers

Order matters is permutation

Order doesn't matters is combination

So

The correct combinations are

Choose President, Vice-President and Secretary.Choose 4 students in a class committee out of 35 members

Let x and y be directly related such that y = 9 when x = 3. Find y when x = 7.

Answers

Answer:

y=21

Step-by-step explanation:

y= 9 cos x =3 so y=3 when x=1 on the base level so if x=7 would be x=1 on the base level * 7 then y=3 on the base level * 7 would be y = 21

the values in the table represent a linear function.

Answers

Answer:

B

Step-by-step explanation:

just find the equal difference of y values.

Step-by-step explanation:

to add to the explanation :

an arithmetic sequence is defined as

an = an-1 + d

so, every term of the sequence is created by adding the same constant d (the common difference) to the previous term.

therefore, you find the common difference by finding the difference of 2 sequential terms.

like here e.g.

a3 = 38

a4 = 53

53 - 38 = 15

bingo !

and to verify that it truly is an arithmetic sequence, we can quickly also check the differences between the other pairs. yes, they are all 15.

be prepared for a trap like

1 8

2 23

3 38

5 68

notice the sudden jump in x ? suddenly x is increased by 2.

that just means we compare

an and an-2 instead of an-1.

so, how is related to an-2 ?

an = an-1 + d = (an-2 + d) + d = an-2 + 2d

and so we would get

a3 = 38

a5 = 68

a5 - a3 = 2d = 30

d = 15

so, don't get confused by such jumps or gaps.

Pls help and can you show work or equation

Answers

Answer:

648 in^2

Step-by-step explanation:

your must find the surface area of the rectangular prism

this can be modelled by

2(9 * 9) + 2(13.5 * 9) + 2(13.5 * 9)

or

2(9 * 9) + 4(13.5 * 9)

then you do whats inside the parenthesis

2(81) + 4(121.5)

and lastly you multiply and add

162 + 486 = 648

the answer is 648 in^2

You translate a line 10 units up. Is the image of the line still a line? O Yes O No

Answers

Answer:

It depends on what way the line is facing, if it starts out vertical(meaning up or down), the answer is yes.

What is (2-2i√3)4 equivalent to?
Drag a value to each box to correctly express the answer in polar form and then in rectangular form.

Answers

a. (2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

b. (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

To answer the question, we need to know what complex numbers are

What are complex numbers?

Complex numbers are numbers of the form z = x + iy

a. Complex numbers in polar form

Complex numbers in polar form z = r(cosθ + isinθ) where

r = √(x² + y²) and θ = tan⁻¹(y/x)

Given that z = (2 - 2i√3)⁴ =

So,

x = 2 and y = -2√3

So, converting to polar form

r = √(x² + y²)

= √[2² + (-2√3)²]

= √[4 + 4(3)]

= √[4 + 12]

= √16

= 4

θ = tan⁻¹(y/x)

θ = tan⁻¹(-2√3/2)

θ = tan⁻¹(-√3)

θ = -π/3

So, z = r(cosθ + isinθ)

= 4(cos(-π/3) + isin(-π/3))

Powers of complex numbers

A complex number z raised to power n is zⁿ = rⁿ(cosnθ + isin(nθ)]

z⁴ = (2 - 2i√3)⁴

= r⁴(cos4θ + isin4θ)

= 4⁴(cos(4 × -π/3) + isin(4 × -π/3))

= 256(cos(-4π/3) + isin(-4π/3))

= 256cis(-4π/3)

(2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

b. Complex numbers in rectangular form

The complex number z =  r(cosθ + isinθ) in rectangular form is z = x + iy where

x =  rcosθ and y =  rsinθ

Given that z⁴ = 256(cos(-4π/3) + isin(-4π/3)) in rectangular form,

x = rcosθ

= 256(cos(-4π/3)

= 256cos(-4 × 60°)

= 256cos(-240)

= 256cos(240)

= 256 × -1/2

= -128

y =  rsinθ

= 256sin(-4π/3)

= 256sin(-4 × 60°)

= 256sin(-240)

= -256sin240

= -256 × -√3/2

= 128√3

So, z⁴ = x + iy

= -128 + 128√3

So, (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

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Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relationship between Meg's age (m) and Victor's age (v):

m = v + 6
m = 5v − 2

Which is a possible correct method to find Meg's and Victor's ages? (5 points)

Solve m + 6 = 5m − 2 to find the value of m.
Write the points where the graphs of the equations intersect the x axis.
Solve v + 6 = 5v − 2 to find the value of v.
Write the points where the graphs of the equations intersect the y axis.

Answers

Answer:

Solve v + 6 = 5v − 2 to find the value of v.

Step-by-step explanation:

Answer:

Option 3

Step-by-step explanation:

The correct method to find Meg's and Victor's ages is to equate the equations for their ages.

Hence. the answer is :

Solve v + 6 = 5v − 2 to find the value of v.

The age of a father is 2 less than 7 times the age of his son. In 3 years, the sum of their ages will be 52. If the son’s present age is s years, which equation models this situation? A. B. C. D.

Answers

Answer:

First,

the age of the son: s

the age of the father is 2 less than 7 times the age of his son: 7s - 2

In 3 years, the sum of their ages will be 52, In 3 years, the age of the sun will

increase 3, so s+3. Also, the age of his

father also increase 3, (7s-2)+3

(s+3)+ [(7s-2)+3] = 52 is the equation.

The correct answer is :

( 7s - 2 ) +3+ ( s + 3 ) = 52 , or 8s + 4 = 52 .

Explanation :

Since s is the son's age , " two less than seven times " the son's age would be represented by 7s - 2 .

To represent this in 3 years , we would add 3 : ( 7s - 2 ) +3 .

In 3 years , the son's age , s , would be represented by s + 3 . We are told that the sum of these ages will be 52 ; this gives us ( 7s - 2 ) +3+ ( s + 3 ) = 52 .

To simplify this , combine like terms .

7s + s = 8s ; -2 + 3 + 3 = 4 .

This gives us 8s + 4 = 52 .

What is the answer in this question

Answers

Answer = 24
Reason
4/5 is the same as 24/30

Notice the denominator 5 changes to 30
In order to do that we multiply 5 x 6
So we do the same to the numerator
Multiply 4 x 6 =24

Answer:it's 24

Step-by-step explanation:

its multiplying the 5, 6 times

Using the information in the diagram, what is the height of the tree to the nearest foot?

45 ft
54 ft
60 ft
135 ft

Answers

Answer:

60 ft

Step-by-step explanation:

a = 90

b = 108ft

the base angle can be found by using sin(x) = 120/108x2

=> x = 33.7 degrees

To find height, use tan(33.7) = Opp/ Adjacent = x / 90

=> x = 60.02 or 60 ft

Write the exponent for the expression.




The exponent for the expression is

Answers

The exponent for the expression, 5 × 5 × 5 × 5 × 5, would be expressed as: [tex]5^5[/tex].

What is an Exponent?

An exponent can be defined as the power to which the base is to b e raised.

For example, a × a × a can be expressed in  exponent form as a³.

In the same vein, given the expression, 5 × 5 × 5 × 5 × 5, we would expressed this in exponent form as: [tex]5^5[/tex].

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1000 milliliters is equivalent to ____ cups

Answers

Answer:

4.22675 cups are equal to 1000 milliliters

Step-by-step explanation:

1000 milliliters is equivalent to __4.22675__ cups

Hope This Helped

Answer:

4.22675

Step-by-step explanation:

A set of data has a normal distribution with a mean of 46 and a standard deviation of 7. Find the percent of data within the following interval.

less than 46

The percent of data within the given interval is what percent?

Answers

Answer:

50%

the mean (46) marks the halfway point, so over the mean is 50% and under the mean is 50%

If a many-to-many-to-many relationship is created when it is not appropriate to do so, the conversion to ____ normal form will correct the problem.

Answers

Answer:

Step-by-step explanation:

A conditional relative frequency table is generated by column from a set of data. the conditional relative frequencies of the two categorical variables are then compared. if the relative frequencies being compared are 0. 21 and 0. 79, which conclusion is most likely supported by the data? an association cannot be determined between the categorical variables because the relative frequencies are not similar in value. there is likely an association between the categorical variables because the relative frequencies are not similar in value. an association cannot be determined between the categorical variables because the sum of the relative frequencies is 1. 0. there is likely an association between the categorical variables because the sum of the relative frequencies is 1. 0.

Answers

The conclusion is there is likely an association between the categorical variables because the sum of the relative frequencies is 1. 0.

What is the true statement?

Categorical variables are variables that can only take on a fixed number of values. An example of categorical variables is gender. One can either be a male or a female.

The sum of the categorical variables is 1. This indicates that the two variables are negatively correlated. It means that someone would be either pick one of the variables.

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Answer:

c

Step-by-step explanation:

4 there are only red sweets and yellow sweets in a bag.
there are n red sweets in the bag.
there are 8 yellow sweets in the bag.
sajid is going to take at random a sweet from the bag and eat it.
7
he says that the probability that the sweet will be red is
10
7
(a) show why the probability cannot be
10
after sajid has taken the first sweet from the bag and eaten it, he is going to take at
random a second sweet from the bag.
given that the probability that both the sweets he takes will be red is
uw
(b) work out the number of red sweets in the bag.
you must show all your working.

Answers

Using the probability concept, it is found that since the number of red sweets would be a decimal number, the probability cannot be [tex]\dfrac{7}{10}[/tex]

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

In this problem:

In total, there are 8 + n sweets in the bag.Of those, n are red.

The probability of red is:

[tex]p=\dfrac{n}{n+8}[/tex]

Supposing, we solve for n:

[tex]\dfrac{n}{n+8} = \dfrac{7}{10}[/tex]

10n = 7n + 56

3n = 56

n  =  56 / 3

n  =  18.67

Since the number of red sweets would be a decimal number, the probability cannot be 7 / 10

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Jordan fills several bags with oranges. This line plot shows the weight of each bag.

How many more pounds does one of the heaviest bags weigh than one of the lightest bags?

Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

Answer:

18 1/8

Step-by-step explanation:

4 7/8 x 4 = 23 1/2

23 1/2 - 5 3/8 = 18 1/8

Slope of (3,2) and (19,6)

Answers

Step-by-step explanation:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{6 - 2}{19 - 3} \\ = \frac{4}{16} \\ \boxed{slope = \frac{1}{4} }[/tex]

What is the outlier of 35, 39, 35, 34, 38, 39, 38, 33, 88, 33, 35, 38

Answers

Answer:

88

Step-by-step explanation:

All of the numbers are in the thirties (30's) except for 88, so that is the outlier

the table shows the results of rolling a die several times. To the nearest percent, what is the experimental probability of rolling a 6?

Answers

The experimental probability of rolling a 6 will be 13.3%

How to calculate the probability?

The probability will be calculated thus:

= Number of times that 6 occured / Total number if outcomes

= 4/(7 + 4 + 4 - 5 + 6 + 4)

= 4/30

= 0.133

= 13.3%

Therefore, the probability is 0.133 or 13.3%.

Table shows the results of rolling a die several times.

outcome: 1, 2, 3, 4, 5, 6

number of times outcome occurred: 7, 4, 4, 5, 6, 4

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The initial price of a horse is $13,000. it is discounted by
20% and then by a further 18%. find the price of the item.

Answers

Answer:

12971

Step-by-step explanation:

13000-20-18 = 12971

Answer:

8060$

Step-by-step explanation:

20%+18%=38%

13000*38%=4940

13000-4940=8060 $

If Anna divides the ingredients equally into 4 pots, how many cups of onions will she need in each pot?

Answers

How many onions were there to begin with?
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