a walking path BE in a park intersects intersects two sides of the park at their midpoints. You walk from point D to E, E to B, from B to C, and back to point D. How many yards did you walk?

Answer:

28

Step-by-step explanation:

a^2=b^2+c^2-2bc\cos A

a

2

=b

2

+c

2

−2bccosA

From reference sheet.

s^2 = 34^2+16^2-2(34)(16)\cos 56

s

2

=34

2

+16

2

−2(34)(16)cos56

Plug in values.

s^2 = 1156+256-2(34)(16)(0.559193)

s

2

=1156+256−2(34)(16)(0.559193)

Square and find cosine.

s^2 = 1156+256-608.40188

s

2

=1156+256−608.40188

Multiply.

s^2 = 803.59812

s

2

=803.59812

Add.

s=\sqrt{803.59812} \approx28.348 \approx28

s=

803.59812

​

≈28.348≈28

litros de agua porque nolose pero quiero los pùntos

Answer:

122 adults

Step-by-step explanation:

1049.20(price of tickets sold)÷8.60(ticket price per adult)=122

Answer:

C. Disagree

Step-by-step explanation:

Answer:

V=37.68

Step-by-step explanation:

The formula for the volume of a cone is V=1/3πr^2h.  First, plug the values in to the varibles to get V=1/3π3^2(4), since 3 is the radius and 4 is the height.  Now simplify the equation.  

V=1/3π3^2(4)

V=1/3π9(4)

V=1/3π36

Multiply 36 by pi, which the equation wants you to use as 3.14.  

V=1/3(113.04)

Now simplify to get V=37.68.

I hope this helps!  Have a great day/night!  

Answer:

37.5

Step-by-step explanation:

The line which marks the height 25\sqrt325  

3

​  

25, square root of, 3, end square root of the large triangle is vertical, and the base of the triangle is horizontal, so their intersection is a right angle. The angles in the large triangle add up to \piπpi, so the remaining angle is:

\qquad \begin{aligned} \pi - \dfrac\pi2 - \dfrac\pi6 =& \dfrac\pi3 \end{aligned}  

π−  

2

π

​  

−  

6

π

​  

=

​  

3

π

​  

​  

The original triangle L U R is shown, but now the length of segment U D is shown to be '25 times the square root of 3', and angle U L R is shown to have a measure of ' pi divided by 3' radians.

The original triangle L U R is shown, but now the length of segment U D is shown to be '25 times the square root of 3', and angle U L R is shown to have a measure of ' pi divided by 3' radians.

Hint #2

Looking at the left triangle ULDULDU, L, D, the hypotenuse length LULUL, U is:

\qquad \begin{aligned} \dfrac{25\sqrt3}{\sin\!\left({\Large\frac\pi3}\right)} \end{aligned}  

sin(  

3

π

​  

)

25  

3

​  

​  

​  

Looking at the big triangle LURLURL, U, R, we see that the base length LRLRL, R is:

\qquad \begin{aligned} &\left(LU\right)\dfrac{1}{\sin\!\left({\Large\frac\pi6}\right)} \\ \\ =&\left(\dfrac{25\sqrt3}{\sin\!\left({\Large\frac\pi3}\right)}\right)\dfrac{1}{\sin\!\left({\Large\frac\pi6}\right)} \\ \\ =&\left(\dfrac{25\sqrt3}{ \quad\large\frac{\sqrt{3}}{2}\quad }\right)\dfrac{1}{ \quad\large\frac{1}{2}\quad } \\ \\ =&\left(\dfrac{25}{ \quad\large\frac{1}{2}\quad }\right)\dfrac{1}{ \quad\large\frac{1}{2}\quad } \\ \\ =&100 \\ \end{aligned}  

=

=

=

=

​  

(LU)  

sin(  

6

π

​  

)

1

​  

⎝

⎜

⎛

​  

sin(  

3

π

​  

)

25  

3

​  

​  

⎠

⎟

⎞

​  

sin(  

6

π

​  

)

1

​  

⎝

⎜

⎛

​  

2

3

​  

​  

25  

3

​  

​  

⎠

⎟

⎞

​  

2

1

​  

1

​  

(  

2

1

​  

25

​  

)  

2

1

​  

1

​  

100

​  

Hint #3

The large triangle has uniform thickness, so the inner triangle's sides are parallel to the outer triangle's sides. Therefore, the inner triangle's angles are congruent to the outer triangle's angles. The two triangles are similar.

Hint #4

Similar triangles have proportional lengths, so we can set up the equation:

\qquad \begin{aligned} \dfrac{h}{w} =& \dfrac{H}{W} \\ \\ \dfrac{h}{50\sqrt{3}} \approx& \dfrac{25\sqrt3}{100} \end{aligned}  

w

h

​  

=

50  

3

​  

h

​  

≈

​  

W

H

​  

100

25  

3

​  

​  

​  

Hint #5

\qquad\qquad\, \begin{aligned} \dfrac{h}{50\sqrt{3}} \approx& \dfrac{\sqrt3}{4} \\ \\ {h} \approx& \dfrac{{50\sqrt{3}}\sqrt3}{4} \\ \\ {h} \approx& \dfrac{25\cdot3}{2} \\ \\ h \approx& 37.5 \\ \\ \end{aligned}  

50  

3

​  

h

​  

≈

h≈

h≈

h≈

​  

4

3

​  

​  

4

50  

3

​  

3

​  

​  

2

25⋅3

​  

37.5

​  

Hint #6

To the nearest tenth, the height of the inner triangle is:

\qquad\qquad\, \begin{aligned} h \approx& 37.5 \end{aligned}  

h≈

​  

37.5

​  

*note: The answers 37.337.337, point, 3 and 37.437.437, point, 4 may have been obtained by other methods of solving for hhh since this is an approximation. Those answers are also accepted as correct.

Two triangles are similar if the sides of both triangles can be represented as equivalent ratios. The height of the shaded triangle is 37.5 units.

Given that:

[tex]\overline{UD} = 25\sqrt 3[/tex]

[tex]w = 50\sqrt3[/tex]

See attachment

First, we calculate side length [tex]\overline{LD}[/tex].

This calculated using tangent trigonometry ratio

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(90-\frac{\pi}{3}) = \frac{\overline{UD}}{\overline{LD}}[/tex]

[tex]\tan(90-30) = \frac{\overline{UD}}{\overline{LD}}[/tex]

[tex]\tan(60) = \frac{\overline{UD}}{\overline{LD}}[/tex]

This gives:

[tex]\tan(60^o) = \frac{25\sqrt3}{\overline{LD}}[/tex]

Make LD the subject

[tex]\overline{LD}= \frac{25\sqrt3}{\tan(60^o)}[/tex]

[tex]\overline{LD}= \frac{25\sqrt3}{\sqrt 3}[/tex]

[tex]\overline{LD}= 25[/tex]

Next, we calculate side length [tex]\overline{DR}[/tex].

This calculated using tangent trigonometry ratio

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(\frac{\pi}{6}) = \frac{\overline{UD}}{\overline{DR}}[/tex]

This gives:

[tex]\tan(30^o) = \frac{25\sqrt3}{\overline{DR}}[/tex]

Make DR the subject

[tex]\overline{DR}= \frac{25\sqrt3}{\tan(30^o)}[/tex]

[tex]\overline{DR}= \frac{25\sqrt3}{1/\sqrt 3}[/tex]

[tex]\overline{DR}= 25\sqrt3 \times \sqrt 3[/tex]

[tex]\overline{DR}= 25 \times 3[/tex]

[tex]\overline{DR}= 75[/tex]

Calculate side length [tex]\overline{LR}[/tex]

[tex]\overline{LR} = \overline{LD}+\overline{DR}[/tex]

[tex]\overline{LR} = 25+75[/tex]

[tex]\overline{LR} = 100[/tex]

Because the triangle has a uniform thickness, the small and the big triangle are similar triangles.

So, the height (h) is calculated using the following equivalent ratios

[tex]h:w =\overline{UD}:\overline{LR}[/tex]

Express as a fraction

[tex]\frac hw =\frac{\overline{UD}}{\overline{LR}}[/tex]

Make h the subject

[tex]h =\frac{\overline{UD}}{\overline{LR}} \times w[/tex]

Substitute known values

[tex]h =\frac{25\sqrt3}{100} \times 50\sqrt 3[/tex]

[tex]h =\frac{3750}{100}[/tex]

[tex]h =37.50[/tex]

Hence, the height of the shaded triangle is 37.5 units.

Read more about similar triangles at:

https://brainly.com/question/16919171

Answer:

17.6 lbs

1kg=2.2lbs

Multiply each side by 8

8kg=17.6 lbs

Step-by-step explanation:

So heres the short answer: 8kg = 17.637 lbs

Hope it helps!!

The quantity 8 kilograms can be written in pounds as 17.6 pounds.

The given quantity is 8 kilograms.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that 1 kg = 2.2 pounds

Here, 8 kg = 8×2.2

= 17.6 pounds

Therefore, the quantity 8 kilograms can be written in pounds as 17.6 pounds.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

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Answer:

option (3)is correct, take 180 +180=360

Step-by-step explanation:

I DON'T KNOW IF THIS IS CORRECT IM SORRY IF IT'S WRONG!!!!!!

Answer:

Step-by-step explanation:

Alright so the step that comes first is adding two to both sides.

Let me show you,

Step 1

-b-2<8  Add 2 to both sides

-b<10

Then you divide the sides by -1

-b<10

b>-10

Answer:

5/2

Step-by-step explanation:

Answer:

5/2 is the largest fraction.

Step-by-step explanation:

To find the largest fraction, we can convert some using the LCD (least common denominator)

Keep 5/6 as is.

1/3 = 2/6

3/2 = 9/6

5/2 = 15/6

So, 5/2 is the largest fraction.

Answer:

the answer is 58 dear because there he couldn't figure out what he meant

Answer:

write 2 mixed whats

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula of a distance between two points

[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]

We have

[tex]A(3;\ 7);\ B(-5;\ -8)[/tex]

Substitute

[tex]|AB|=\sqrt{(-5-3)^2+(-8-7)^2}=\sqrt{(-8)^2+(-15)^2}\\\\=\sqrt{64+225}=\sqrt{289}=17[/tex]

Answer:

The answer is we. Pronouns are I, you, he/she/it, we, you, they.

Answer:

2:we.............

Using translation concepts, it is found that graph A is equivalent to the graph of g(x)=-f(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The transformation g(x)=-f(x) is a reflection over the x-axis of function f(x), which is given by graph A.

More can be learned about translation concepts at https://brainly.com/question/4521517

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Answer:

The answers is 5x + 13

It Equal to 5x + 13

Answer:

153.94

Step-by-step explanation:

Answer:

=7±5√

Step-by-step explanation:

is easy and no hard

Answer:

53 degrees

Step-by-step explanation:

Complimentary angles are angles whose sum equals 90 degrees.

90-37 = 53

Answer:

m∠RPQ = 53°

53 degrees

Step-by-step explanation:

When two angles are complementary angles, it means they add up to 90 degrees (Ex: a 10° angle and 80° angle would be complementary).

Therefore, if ∠SPR and ∠RPQ are complementary, then

m∠SPR + m∠RPQ = 90°

since you are given that m∠SPR = 37°, you can plug that in for m∠SPR to find m∠RPQ:

m∠SPR + m∠RPQ = 90°

37° + m∠RPQ = 90°

m∠RPQ =  90° - 37°

m∠RPQ = 53°

Answer:

As we can see, for infinite values of x, there are corresponding infinite values of y. Thus, the given equation has infinite solution.

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

you can only multiply 5 by one number (0.4) to get 2

lmk if this doesn't make sense

Answer:

7

Step-by-step explanation:

10=2(7)-4

10=14-4

Answer:

12,20

Step-by-step explanation:

That's the answer

Answer:

SOMEONE ANSWER THIS PLSSSSSSSSS :D

Step-by-step explanation:

Answer:

Very simple 6th graders

Step-by-step explanation:

7 X 5 = 35 DIVIDE3D BY 2 = 17.5 THAT IS THE TRIANGLE BUT I CAN NOT SEE THE OTHER.

but i will still help

the number on the top needs to be multiplyed by the number on the side and then add it to the 17.5 and that is your answer

Answer:

Step-by-step explanation:

The x and y points are multiplied by 1.5

See the graph

Notice that if you start with (4,6) and dilate by a scale of 1.5 then the final point is (6,9)

The slope of these two points (if they were on a line should be 1.5

x2 = 6

x1 = 4

y2 = 9

y1 = 6

m = (9 - 6)/(6 - 4)

m = 3 / 2

m = 1.5 which is what it should be.

The x-coordinate of every point of the figure is multiplied by 1.5.

The scale factor is 1.5, and the center of dilation is the origin (0, 0).

When the figure is dilated by a scale factor of 1.5 with the origin as the center, it means that each point's x-coordinate and y-coordinate are separately multiplied by 1.5.

The y-coordinate of every point of the figure is multiplied by 1.5 is not correct the reason is that in this specific dilation scenario, only the x-coordinate is multiplied by 1.5, while the y-coordinate remains the same. The origin as the center of dilation means that the points move away from or towards the origin, maintaining the same vertical distance.

Therefore, the correct description is "The x-coordinate of every point of the figure is multiplied by 1.5."

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Answer:

$3.29

Step-by-step explanation:

You need to find the unit price by dividing the cost by the amount.

24.33/7.4 = 3.29

Therefore, one pound of ham is $3.29.

Answer:

1. $3.29

2. $4.60

Step-by-step explanation: