Triangle D E F is shown. Angle D E F is 90 degrees and angle F D E is 42 degrees. The length of D E is 7.2 and the length of E F is d. What is the value of d to the nearest hundredth? d ≈

Answer: D) (1.2,-4.7)

Step-by-step explanation:

plug in the end corrdinates like it says in the equation that the problem gives you.

The x and y-coordinates of the point C will be equal to (1.2, -4.7).

Using one or even more integers, or coordinates, a coordinate system in geometry establishes a unique way to locate points or other geometrical objects on a manifold, such as Euclidean space.

The order of the values is important, and they can sometimes be distinguished by their place in an arranged tuple or by a letter, such as "the x-coordinate."

As per the given information in the question,

Coordinates are the location of a point in an (x,y) plot.

The given coordinates are:

A = (7,-2)

B = (-8,-9)

m:n = 5:8

Use the formula given below,

(x, y) = 1/(m + n)(nx₁ + mx₂, ny₁ + ny₂)

(x, y) = 1/(5 + 8)[5(-8) + 8(7), 5(-9) + 8(-2)]

(x, y) = (1.2, -4.7)

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-18x-17=-53 /add 17 to both sides

-18x-17+17=-53+17

-18x=-36

x=(-36)/(-18)

x=2

Answer:

W = 72

Step by step explanation:

White = W

Red = R

W + R = 90

Write an equation

W = 5R - 6

Substitute

5R - 6 = 90

Add 6 to both sides of the equation

5R = 90

Simplify

90 ÷ 5 = 18

R = 18

90 - 18 = W

W = 72

Hope this was useful to you!

Final answer:

By setting up an algebraic equation, we determine that there are 74 white marbles in the bag when the total number of marbles is 90 and the white marbles count is 5 times the number of red marbles minus 6.

Explanation:

Calculating the Number of Marbles

To figure out how many white marbles are in the bag, we can set up a simple algebraic equation. Let's define the number of red marbles as x. According to the problem, the number of white marbles is 5 times the number of red marbles minus 6. We can represent this as 5x - 6. Since we know the total number of marbles is 90, we can write the equation as:

x + (5x - 6) = 90.

Combining like terms results in:

6x - 6 = 90.

Adding 6 to both sides gives us:

6x = 96.

Dividing both sides by 6, we get:

x = 16.

So, there are 16 red marbles. Now, to find the number of white marbles, we plug this back into the equation for white marbles:

5(16) - 6 = 80 - 6 = 74.

There are thus 74 white marbles in the bag.

The area of a rectangle is represented by the multiplication of its length and width. For a rectangle with dimensions 'x + 5' and 'x + 4', the area is given by the standard form polynomial ' [tex]x^2 + 9x + 20[/tex]'.

The area of a rectangle is calculated by multiplying the length by the width of the rectangle. Here, the length and width of the rectangle are given by the expressions 'x + 5' and 'x + 4'. Therefore, to find the area, you multiply those two expressions together:

(x + 5) * (x + 4)

When you multiply these two expressions, you get:
[tex]x\times x + 4\times x + 5\times x + 5\times 4 = x^2 + 9x + 20[/tex]

This is the polynomial in standard form that represents the area of the rectangle,

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Answer:

$580

Step-by-step explanation:

Original price = $156.60 / 0.27

Original price = $580

Answer:

15

Step-by-step explanation:

The Average of rate is -1.

Step-by-step explanation:

Everytime it goes up by one the y goes down by 1 so it would be -1.

The function has an average rate of change of -1. It is denoted by R.

The single rate applies to property in several locations and is a weighted average of the separate rates that apply to each place.

The function has an average rate of change of -1.

[tex]\rm R = \frac{4-5}{1-0} \\\\ R=-1[/tex]

Hence, the function has an average rate of change of -1.

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Answer:£368.94

Step-by-step explanation:

258*1.43= 368.94

Answer:

y - 4 = 3(x - 1)

Step-by-step explanation:

It looks like you have slope 3  and a point (1, 4)

so  it should be  y - 4 = 3(x - 1)

which is your first choice:  y minus 4 = 3 (x minus 1)

The point-slope form of a line is  y - 4 = 3(x-1) which is correct option(A).

A linear equation is defined as an equation in which the highest power of the variable is always one.

GIven equation,

Slope of line (m) = 3

Slope form of a line is y-y₁ = m(x-x₁)

Line passes through point (1, 4)

⇒ y - 4 = 3(x-1)

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Answer:

A = 12 units^2

Step-by-step explanation:

The area of a trapezoid is

A = 1/2 (b1+b2)* h where b1 and b2 are the bases (which are parallel)

b1 = AT = 4 units

b2 = SR = 2 units

The heights is along the x axis which is 4 units

A = 1/2 ( 2+4) *4

A = 1/2 (6)*4

A = 12 units^2

Answer:12.5%

Step-by-step explanation:

Percentage=(32-28)/32 x 100

Percentage=4/32 x 100

Percentage=(4x100)/32

Percentage=400/32

Percentage=12.5%

Answer:

Systems of equations equals (-1.5, 4)

Step-by-step explanation:

1. isolate the y in both equations

2. a. 4x+3y=6

3y=-4x+6

y=-4/3x+2

    b.

2y=4x+14

y=2x+7

3. Solve the system of equations

-4/3x+2=2x+7

2=3 1/3x+7

-5=3 1/3x

-1.5=x

4. Solve for y by plugging x into one equation

y=2x+7

y=2(-1.5) + 7

y= -3+7

y=4

5. Systems of equations equals (-1.5, 4)

6. If this was helpful for you, it would mean a lot if you could click the braniest button on my answer so I could move up in the ranks. Good luck!

Answer:

your answer would be x= -3/2

Answer:

6.3 yards high

Step-by-step explanation:

The three given points are (0,0), (1,6.86), and (2,3). Use these values in f(x) = ax2 + bx + c.

For (0,0), 0 = 0 + 0 + c.

So, c = 0.

For (1,6.86), 6.86 = a + b + c. Since c = 0:

a + b = 6.86(equation 1)

For (2,3), 3 = 4a + 2b + c. Since c = 0:

4a + 2b = 3(equation 2)

Multiply equation 1 by 2, and subtract the result from equation 2:

2a + 2b  = 13.72

4a + 2b - (2a + 2b)  = 3 - 13.72

2a  = -10.72

a  = - 5.36

Plug this value into equation 1:

-5.36 + b  = 6.86

b  = 12.22

So the function is f(x) = -5.36x2 + 12.22x.

When the ball hits the ground, the height is 0, or f(x) = 0:

Use the function to determine the height of the ball, f(x), after x = 1.5 seconds.

f(x) = -5.36x2 + 12.22x

= -5.36(1.5)2 + 12.22(1.5)

= 6.27

0 = -5.36x2 + 12.22x

0 ≈ x − 2.27(Divide both sides by -5.36x.)

x ≈ 2.27 ≈ 2.3

So, the ball will be about 6.3 yards high after 1.5 seconds.

Answer:

The answer is b

Step-by-step explanation:

On solving the question 30.27 + 1.9 + 22.952 we get 55.1

Significant figures are important in calculations to maintain accuracy.

To add the numbers 30.27, 1.9, and 22.952:

Add the numbers: 30.27 + 1.9 + 22.952 = 55.122.

The number of significant figures in each of the given numbers is different. The answer should have the same number of decimal places as the number with the fewest decimal places, which in this case is 1.9. Thus, the answer should be rounded to 55.1

Answer: theta ≈ 30°

Step-by-step explanation:

It said on the "show me" box at the bottom of the screen :)

The required angle of the projectile motion having range 20 m and initial velocity 15 m is 30.29°

Range of the projectile motion:

The formula for finding projectile motion is given by

Range R = [tex]\frac{v^2sin2\theta}{g}[/tex]

where v is the initial velocity and g is acceleration and [tex]\theta[/tex] is the projectile angle of the object

If we have given range and initial velocity with acceleration then by substituting above range formula we can find angle of the projectile

Here we have given that

R = 20 m

v = 15 m/s

g = 9.8 m/s^2

Therefore

[tex]20=\frac{15^2sin2\theta}{9.8}[/tex]

[tex]sin2\theta=\frac{20(9.8)}{225}[/tex]

[tex]\theta[/tex] = 30.29

This is the required angle of the projectile

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Answer:

17%

Step-by-step explanation:

Divide $21.25 by $125

The scale factor for the measurements on the map would be 11 x 10 ⁻⁵.

Scale factor is used to compare the size of two objects. Mathematically, we can write -

{K} = S{O1}/S{O2}

Given is that the distance between home and school is 4.5 miles. On a map it shows the distance to be 9 cm.

The distance between home and school : 4.5 miles.

On the map the distance between home and school is 9 cm.

We can write the scale factor as -

{K} = (9 x 5.5 x 10 ⁻⁵)/4.5

{K} = 11 x 10 ⁻⁵

Therefore, the scale factor for the measurements on the map would be 11 x 10 ⁻⁵.

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we can write the equation of the line in slope-intercept form:

[tex]y =[/tex][tex](-1/12)x + 6[/tex]

To find the equation of a line in slope-intercept form ([tex]y = mx + b[/tex]), we need to determine the slope (m) and the y-intercept (b).

Given two points (0, 6) and (12, 5), we can calculate the slope (m) using the formula:

[tex]m = (y2 - y1) / (x2 - x1)[/tex]

Using the coordinates (0, 6) and (12, 5):

[tex]m = (5 - 6) / (12 - 0)[/tex]

[tex]= -1 / 12[/tex]

Now that we have the slope (m), we can substitute it into the slope-intercept form equation:

[tex]y = mx + b[/tex]

Using the coordinates (0, 6):

[tex]6 = (-1/12)(0) + b[/tex]

6 = b

Therefore, the y-intercept (b) is 6.

A slope-intercept equation is a linear equation written in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept. The slope (m) determines the steepness or direction of the line, while the y-intercept (b) is the point where the line intersects the y-axis. By using this equation, we can easily identify the relationship between the x and y coordinateson  the line, making it convenient for graphing, understanding the line's behavior, and predicting the value of y for a given x.

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Answer:

[tex]P_{m}=(6,10.5,9)[/tex]

Step-by-step explanation:

The mid point can be found with the formula

[tex]P_{m}=(\frac{x_{1}+x_{2} }{2},\frac{y_{1} +y_{2} }{2} ,\frac{z_{1}+z_{2} }{2} )[/tex]

The given coordinates are [tex]P(5,10,8)[/tex] and [tex]Q(7,11,10)[/tex].

Replacing coordinates in the formula, we have

[tex]P_{m}=(\frac{5+7}{2},\frac{10+11 }{2} ,\frac{8+10}{2} )=(\frac{12}{2},\frac{21 }{2} ,\frac{18}{2} )\\P_{m}=(6,10.5,9)[/tex]

Therefore, the mid point of the segment PQ is [tex]P_{m}=(6,10.5,9)[/tex]

Answer:

^its C if ur too lazy to read the equation like me

Step-by-step explanation:

Answer:  y = -5x - 22

Step-by-step explanation:

Use the Point-Slope formula: y - y₁ = m(x - x₁)

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

y + 2  = -5(x + 4)

y + 2 = -5x - 20

y       = -5x - 22

Answer:

slope =0

Step-by-step explanation:

its on the point (4,0) its not moving up and down therefor there's no slope

Answer:

0

Step-by-step explanation:

Hello!

Slope can be calculated using the formula [tex]\frac{Rise}{Run}[/tex]

The two points I'll pick are (0,4) and (1,4).

The change in y (4 and 4)  is 0.

The change in x (0 and 1) is 1.

Put it into the slope format and you get a slope of [tex]\frac01[/tex] or [tex]0[/tex].

Answer: y=4

Step-by-step explanation:

8y+1=6y+9 -Because y is equal the equations are as well.

2y+1=9- Take 6y to the other side by -6y

2y=8-Take one over by -1

y=4-Divide 8 by 2 to get y=4

Answer:

The value of y is 4

Step-by-step explanation:

If the some of the counters in each box are the same, then A = B

If A is 8y + 1 and B is 6y + 9

Since A = B, we can say

8y + 1 = 6y + 9

Collecting like terms, we will have

8y - 6y = 9 - 1

2y = 8

Dividing both sides by 2, we will have

y = 8/2

y = 4

Answer:

B)The volume of the pyramid is 1/3 the volume of prism

Step-by-step explanation:

We are given that

Bases of rectangular pyramid  and rectangular prism are same

Height of both  rectangular pyramid  and rectangular prism are same.

We know that

Volume of  rectangular pyramid =[tex]\frac{1}{3}bh[/tex]

Where b=Area of base

Volume of rectangular prism=[tex]bh[/tex]

Where b=Area of base

Volume of rectangular pyramid=[tex]\frac{1}{3}[/tex] volume of rectangular prism

Hence, the volume of pyramid is 1/3 times the volume of volume of rectangular prism.

Option  B is true.

answer

The volume of the pyramid is 1/3      the volume of the prism.

Step-by-step explanation:

Answer:

10x²−9x

Step-by-step explanation:

10x²−10x−6+x+6

=10x²−10x−6+x+6

Combine Like Terms:

=10x²−10x−6+x+6

=(10x²)+(−10x+x)+(−6+6)

=10x²−9x

Hope this helps!

The sum of the equations 10x^2 - 10x - 6 and x + 6 is achieved by combining like terms, which results in 10x^2 - 9x.

To find the sum of 10x^2-10x-6 and x+6, you combine the like terms from each equations. You do this by adding the coefficients of like terms, which are terms with the same variable. In this case, the variable x is the like term. Let's do it step by step:

The sum of the two expressions 10x^2 - 10x - 6 and x + 6 therefore is 10x^2 - 9x.

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Answer:

x = 25

Step-by-step explanation:

The two angles are vertical angles and vertical angles are equal

4x+50 =150

Subtract 50 from each side

4x+50-50 = 150-50

4x = 100

Divide each side by 4

4x/4 = 100/4

x =25

Answer:

[tex]x = 25[/tex]

Step-by-step explanation:

Step 1:  Make an equation

[tex]150 = 4x + 50[/tex]

Step 2:  Subtract 50 from both sides

[tex]150 - 50 = 4x + 50 - 50[/tex]

[tex]100 = 4x[/tex]

Step 3:  Divide both sides by 4

[tex]100 / 4 = 4x / 4[/tex]

[tex]25 = x[/tex]

Answer:  [tex]x = 25[/tex]

Answer:

702

Step-by-step explanation:

Since the sales tax is 8%, David has to pay 0.08*650 extra for his cheese. 0.08*650=52, and adding this to the original price of $650 you get $702. Hope this helps!

Answer:

$702

Step-by-step explanation:

1.08 * 650 =

702

Answer:

$8825.10

Step-by-step explanation:

Interest total= P x r x t

P = principal amount, or $6900

r= interest rate, or 0.031

t = time, or 9 years

6900 x 0.031 x 9 = 1925.10

You now add this to the original amount

6900 + 1925.10 = $8825.10

1) The measure needed is the C. Base area,  2) the scenario represents the equation D. 10.5= (1/3)B (4.5)

and 3) the tent will cover C. 7 square feet of the back porch.

Use the appropriate formulas to solve it step-by-step.

The formula for the volume of a cone is:

[tex]V = \frac{1}{3} \pi r^2 h[/tex]

We need to find the base area of the cone (which is a circle) to determine the area covered by the tent on the back porch. The base area (A) of the cone is:

[tex]A = \pi r^2[/tex]

To calculate this, we must first determine the radius (r) of the cone. Let's rearrange the volume formula to solve for the radius (r):

[tex]10.5 = \frac{1}{3} \pi r^2 4.5[/tex]

Simplifying this equation, we get:

[tex]10.5 = \frac{1}{3} \pi r^2 4.5[/tex]

Multiply both sides by 3 to get rid of the fraction:

[tex]31.5 = \pi r^2 4.5[/tex]

Divide both sides by 4.5:

[tex]\frac{31.5}{4.5} = \pi r^2[/tex]

[tex]7 = \pi r^2[/tex]

Divide both sides by π:

[tex]r^2 = \frac{7}{\pi}[/tex]

Taking the square root of both sides, we find the radius (r):

[tex]r = \sqrt{\frac{7}{\pi}}[/tex]

Now we can calculate the base area (A) of the cone:

[tex]A = \pi r^2[/tex]

Substitute r^2 back into the equation:

[tex]A = \pi \left( \frac{7}{\pi} \right) = 7 \text{ square feet}[/tex]