PLZ HELP!!!! The school bus travels at an average speed of 30 miles an hour in the morning because of the traffic. Diego's Home is 3 miles away from the school. If he got picked up by the bus at his house at 7:12am, what time did he arrive at the school?

Answer:

(y-5)^2=14(x+7/2)

Step-by-step explanation:

The equation for a parabola with a focus at (0,5) and a directrix at x = -7 is (y - 5)² = 14 (x + 3.5).

A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.

Given,

Focus of the parabola at (0, 5).

Directrix is x = -7.

The parabola is horizontal parabola since the directrix is a vertical line.

Equation of the parabola is of the form,

(y - k)² = 4p (x - h)

Here (h, k) is the vertex.

Vertex of the parabola is the mid point of focus (0, 5) and the point (-7, 5).

(h, k) = ([tex]\frac{0 + -7}{2}[/tex], 5) = (-7/2, 5)

Now, p is the distance from vertex to focus.

p = 0 - -7/2 = 7/2 = 3.5

So the equation is,

(y - 5)² = 4× 3.5 (x - -3.5)

(y - 5)² = 14 (x + 3.5)

Hence the equation is (y - 5)² = 14 (x + 3.5).

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Answer:

2 hours!

Step-by-step explanation:

Answer:  A.  X=4

Step-by-step explanation:

Since the line is on the X axis you can see its touching x,4 y,0

Step-by-step explanation:

18 and 5 are both missing if that's what you mean

Answer:

D. 360

Step-by-step explanation: It's being multiplied by plus one more every time you move on to a new term.

So 2*3=6, 6*3=18, 18*4=72, 72*5=360

Answer:

[tex]m = \frac{4}{5} [/tex]

Step-by-step explanation:

The slope of a graph is also known as its gradient, which is the steepness of the graph.

If we are given two points on the line, we can find the slope by taking rise/ run, which is the ratio of the change in y-coordinate against the change in the x-coordinate. This can also be written as a formula:

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

In this question, we are given the equation of the line. This equation is already in the slope-intercept form (y= mx +c) since the coefficient of y is 1 and all the other terms are on the other side of the equal sign. In the slope-intercept form, m is the slope while c is the y-intercept.

m= ⅘ since the coefficient of x is ⅘ in the given equation (when the equation is in the slope-intercept form).

Answer:

d=90°

e=81°

f=99°

Step-by-step explanation:

To find f

180-81

=99

Answer:

d = 90°

e = 81°

f = 99°

Step-by-step explanation:

Have a nice day!

Answer:

1. 170.083 in³

2. 126π in³

3. 92.106 m³

4. 2412.74 in³

5. 612π m³ and 1922 m³

Step-by-step explanation:

1.

Cylinder:

[tex]V = \pi r^{2}h[/tex]               *Plug in numbers*

[tex](3.14)(2.5)^{2}(7)[/tex]         *Square 2.5*

[tex](3.14)(6.25)(7)[/tex]        *Solve*

≈ [tex]137.375in^{3}[/tex]

Sphere:

[tex]V = \frac{4}{3}\pi r^{3}[/tex]              *Plug in numbers*

[tex]\frac{4}{3} (3.14)(2.5)^{3}[/tex]         *Cube 2.5*

[tex]\frac{\frac{4}{3}(3.14)(15.625)}{2}[/tex]         *Divide by 2 and Solve*

≈ [tex]32.7083 in^{3}[/tex]

Add both volumes

[tex]137.375 + 32.7083[/tex] ≈ [tex]170.083in^{3}[/tex]

2.

Cylinder:

[tex]V = \pi r^{2}h[/tex]         *Plug in numbers*

[tex]\pi (3)^{2}(10)[/tex]            *Square 3*

[tex]\pi (9)(10)[/tex]             *Multiply*

[tex]90\pi[/tex]

Sphere:

[tex]V = \frac{4}{3}[/tex] π [tex]r^{3}[/tex]            *Plug in numbers*

[tex]\frac{4}{3}\pi (3)^{3}[/tex]                   *Cube 3*

[tex]\frac{4}{3} \pi (27)[/tex]                   *Multiply*

[tex]36\pi[/tex]

Add both Volumes to get total

[tex]90\pi + 36\pi = 126in^{3}[/tex]

3.

Sphere:

[tex]V = \frac{4}{3}\pi r^{3}[/tex]              *Plug in numbers*

[tex]\frac{4}{3} (3.14)(3)^{3}[/tex]            *Cube 3*

[tex]\frac{4}{3} (3.14)(27)[/tex]            *Multiply*

[tex]113.04m^{3}[/tex]

Cone:

[tex]V = \frac{\pi r^{2}h}{3}[/tex]             *Plug in numbers*

[tex]\frac{(3.14)(2)^{2}(5)}{3}[/tex]           *Square 2*

[tex]\frac{(3.14)(4)(5)}{3}[/tex]             *Solve*

[tex]20.93m^{3}[/tex]

Subtract the volumes to get the volume of the blue area

[tex]113.04 - 20.93 = 92.106m^{3}[/tex]

4.

Sphere:

[tex]V = \frac{4}{3} \pi r^{3}[/tex]            *Plug in numbers*

[tex]\frac{4}{3}\pi (8)^{3}[/tex]                 *Cube 8*

[tex]\\\frac{4}{3}\pi (512)[/tex]               *Multiply*

[tex]\\\\\pi (682.6)[/tex]              *Solve*

[tex]2133.66in^{3}[/tex]           *Divide by 2 since it's a hemisphere*

Cone:

[tex]V = \frac{\pi r^{2}h}{3}[/tex]            *Plug in numbers*

[tex]\frac{\pi (8)^{2}(20)}{3}[/tex]              *Square 8*

[tex]\frac{\pi (64)(20)}{3}[/tex]              *Multiply and Divide*

[tex]1340.41 in^{3}[/tex]

Add both volumes

[tex]1072.33 + 1340.41 = 2412.74in^{3}[/tex]

5.

Cylinder:

[tex]V = \pi r^{2}h[/tex]            *Plug in numbers*

[tex]\pi (6)^{2}(16)[/tex]              *Square 6*

[tex]\pi (36)(16)[/tex]             *Multiply*

[tex]576\pi[/tex]

Cone:

[tex]V = \frac{\pi r^{2}h}{3}[/tex]            *Plug in numbers*

[tex]\frac{\pi (6)^{2}3}{3}[/tex]                  *Square 6*

[tex]36\pi[/tex]

Add both volumes

[tex]576\pi + 36\pi = 612\pi m^{3}[/tex]

Alternative: *Multiply π*

[tex]1922m^{3}[/tex]

Answer:

1) 175 [tex]in^2[/tex]

2) 1st option

3) 92 [tex]m^2[/tex]

4) 2412 [tex]in^3\\[/tex]

5) 2nd option

Step-by-step explanation:

[tex]1)\ A = D * Pi = 5 * 3.14 = 15.7\\[/tex]

[tex]2)\ V_{1} = 15.7 * 7 = 109.9[/tex]

[tex]3)\ V_{2} = 4Pi*\frac{R^3}{3} = 12.56*\frac{15.625}{3} = 65.41(6)[/tex]

[tex]4)\ V_1 + V_2 = 65.4 + 109.9 = 175.3[/tex] which is close to 175

[tex]1)\ A = Pi * R^2 = 3.14 * (\frac{6}{2})^2 = 3.14 * 3^2 = 28.26\\[/tex]

[tex]2)\ V_1 = A * h = 28.26 * 10 = 282.6[/tex]

[tex]3)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * (\frac{6}{2})^3 = 113.04[/tex]

[tex]4)\ V_1 + V_2 = 282.6 + 113 = 395.6[/tex] which is very close to 396

[tex]5)\ 396 = 126 * pi[/tex]

[tex]1) V_1 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 2^2 * 5 = 20.9(3)[/tex] =

[tex]2)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * 3^3 = 113.04\\[/tex]

[tex]3)\ V_2 - V_1 = 113.04 - 20.93 = 92.14[/tex] which is very close to 92

[tex]1)\ V_1 = \frac{\frac{4}{3} * Pi * R^3}{2} = \frac{\frac{4}{3} * 3.14 * 512}{2} = 1,071.786\\[/tex]

[tex]2)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 64 * 20 = 1,339.733[/tex]

[tex]3)\ V_1 + V_2 = 1072 + 1340 = 2,411 = 2412[/tex]

[tex]1)\ A = Pi * R^2 = 36*Pi\\[/tex]

[tex]2)\ V_1 = 36*Pi * 16 = 576 * Pi\\[/tex]

[tex]3)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * Pi * 36 * 3 = 36 * Pi[/tex]

[tex]4) V_1 + V_2 = 576Pi + 36Pi = 612Pi[/tex]

Answer:

150° : 30°

Step-by-step explanation:

total ratio

5 + 1 = 6

ratio 1

180 ÷ 6 = 30

ratio 5

30 × 5 = 150

Answer:

mRS = 116

Step-by-step explanation:

If Segment SR ≅ TU then, arc SR ≅ arc TU

Thus, 6x - 28 = 4x + 20

                       ^ ( note that this is the equation we will use to solve for x )

6x - 28 = 4x + 20  

step 1 add 28 to each side

28 + -28 cancels out

28 + 20 = 48

we now have 6x = 4x + 48

step 2 subtract 4x from each side

6x - 4x = 2x

4x - 4x cancels out

we now have 2x = 48

step 3 divide each side by 2

2x / 2 = x

48 / 2 = 24

we're left with x = 24

Now to find the value of arc RS we substitute x with 24 in arc RS' given expression

arc RS = 6x - 28

* substitute x with 24 *

arc RS = 6(24) - 28

6 * 24 = 144

144 - 28 = 116

Hence, arc RS = 116

Answer:

Answer : mRS equals 116.

Answer:

the term arc is used for a portion of a circle along its circumference. The size of the arc is usually given by the size of the angle subtended by the arc at the center or the length of the arc. The angle subtended at the center is also known as the angle measure of an arc or informally the arc measure.

Step-by-step explanation:

Answer:

A) 64°

Step-by-step explanation:

By intersecting secants theorem:

[tex] m\angle ACB = \frac{1}{2} (m\widehat {AS} - m\widehat {BD}) [/tex]

[tex] 35\degree = \frac{1}{2} (134\degree - m\widehat {BD}) [/tex]

[tex] 70\degree =134\degree - m\widehat {BD} [/tex]

[tex] m\widehat {BD} =134\degree - 70\degree[/tex]

[tex] m\widehat {BD} =64\degree[/tex]

Answer: 38.5%

Step-by-step explanation:

it decreased by 38.5%

formula for it is (value 2 - value 1)/value 1 * 100 = so (800-1300)/1300*100 = -500/1300*100 = -0.384615 * 100 = -38.4615 = -38.5 (round off) = 38.5 decrease

Answer:

c = 110-degrees

b = 70-degrees

Step-by-step explanation:

for c:

linear pair which means it equals 180-degrees

70 + c = 180 *subtract 70 from both sides*

c = 110

for b:

vertical angles are equal

b = 70-degrees

Answer:

4.) -1 2/3

Step-by-step explanation:

it means -1.66666666

Answer:

34 pounds

Step-by-step explanation:

51 pounds of plum = 27 quarts

x pounds of plum   = 18 quarts

(cross multiply)

27x = 918

divide both sides by 27

x=34 pounds

Answer:

x = 292.2 pounds (£)

Step-by-step explanation:

Write and solve an equation of ratios:

 € 1        £0.72

--------- = ----------

€410         x

Cross-multiplying, we get:

x = 292.2 pounds (£)

Answer:

it's 10 cemetery in a two way too far and far from a lot for

The volume of irregular solid is 45239 mm^3

Given
 for cylinder,
radius = 6mm and length = 400 mm

Volume, is defined as the ratio of the mass of object to its density.

since if the cylinder is melted to sphere the volume remains the constant
so.
volume of an irregular solid = volume of cylinder
= πr^2l
= 3.14 x 6^2 x 400
= 45239 mm^3

Thus, the required volume of of irregular solid is 45239 mm^3

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Answer:

8x+14

Step-by-step explanation:

Answer:

The temperature was -8.5

Step-by-step explanation:

Subtraction

71

Step-by-step explanation:

that it is not 0 because i am a teacher mrs.brainly so there is the thing

Answer:

I don't understand your language

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

The TV is 64.3 in. wide.

Step-by-step explanation:

a  

2

+(63)  

2

=

\,\,90^{2}

90  

2

Use the Pythagorean Theorem.

a^{2}+3969=

a  

2

+3969=

\,\,8100

8100

Simplify.

-3969\phantom{=}

−3969=

\,\,-3969

−3969

Subtract 3969 from both sides.

a^{2}=

a  

2

=

\,\,4131

4131

\sqrt{a^{2}}=

a  

2

​  

=

\,\,\pm\sqrt{4131}

±  

4131

​  

Square root both sides.

a=

a=

\,\,64.272855...

64.272855...

Simplify. Ignore negative root, as length must be positive.

a\approx

a≈

\,\,64.3

64.3

Round to the nearest tenth.

The rectangle TV's width is determined by the formula W = 64.3 inches.

The formula determines a rectangle's diagonal.

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Let D represent the diagonal of the rectangular TV.

D is now equal to 90 inches.

Let the TV's rectangle size be 63 inches.

Let W be the TV's rectangular width.

And , Diagonal of a Rectangle = √ ( Length )² + ( Width )²

D² = L² + W²

90² = 63² + W²

Subtracting 63² on both sides of the equation , we get

W² = 90² - 63²

On simplifying the equation , we get

W² = 4131

Taking square roots , we get

W = √4131 inches

W = 64.3 inches

Thus , W is equal to 64.3 inches.

Hence, the rectangular TV is 64.3 inches wide.

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Answer:

(--2, 6)

Step-by-step explanation:

Plugging -2 into the equation, you get -2(-2)^2-4(-2)-10 which is 6. This makes the coordinate (-2,6)

Answer:

84in^2

Step-by-step explanation:

area = l*w

12*7=84