The distance between City A and City B is 500 miles. A length of 1.9 feet represents this distance on a certain wall map. City C and City D are 3.42 feet apart on this map. What is the actual distance between City C and City D?

Answers

Answer 1

Answer:

The solution is, Actual distance between point C and D is 900m.

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

given that,

The distance between City A and City B is 500 miles.

A length of 1.9 feet represents this distance on a certain wall map.

City C and City D are 3.42 feet apart on this map.

Let, x be the actual distance between point C and D

Using ratio method,

1.9 : 500

3.42 : x

Now, we get,

1.9/500= 3.42/x

i.e. 3.42/x = 0.0038

or, x = 3.42/ 0.0038

or, x = 900

so, we get,

x=900

Actual distance between point C and D is 900m.

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Answer 2

Answer:

Answer:2.66 ft

Step-by-step explanation:

250/1.9=.0076

.0076×350=2.66ft

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Find the length of Line ED Round to the nearest hundredth.A.
7.32 m
B.
9.48 m
C.
9.56 m
D.
33.80 m

Answers

Answer:

The correct option is C. 9.56 meter

Step-by-step explanation:

∠D = 54° , ∠F = 32°

Now, Using angles sum property of a triangle

∠D + ∠F + ∠E = 180°

⇒ 54° + 32° + ∠E = 180°

⇒ ∠E = 180 - 86

⇒ ∠E = 94°

Now, Using sine rule in the triangle DEF

$(FD)/(\sin 94)=(ED)/(\sin 32)\n\n\implies (18)/(\sin 94)=(ED)/(\sin 32)\n\n\implies ED = (18 * \sin 32)/(\sin 94)\approx 9.56\text{ meter}$

Hence, The correct option is C. 9.56 meter

The angles in a triangle add up to 180°.
$m \angle D + m \angle E + m \angle F=180^\circ \n54^\circ + m \angle E + 32^\circ = 180^\circ \nm \angle E=180^\circ - 54^\circ - 32^\circ \nm \angle E=94^\circ$

According to the law of sines, the ratio of the length of a side of atriangle to the sine of the angle opposite to this side is the same for all sides.
So, the ratio of DF to sin m∠E is the same as the ratio of ED to sin m∠F.
$(18)/(\sin 94^\circ)=(x)/(\sin 32^\circ) \n \n(18)/(\sin 94^\circ) * \sin 32^\circ= x \n \n(18)/(0.9976) * 0.5299 \approx x \n \nx \approx 9.56$

The answer is C.

Find the volume of the cylinder. Use 3.14 for (π Pi) 34 m on top and 27 m down on the right.

Answers

Answer:

Volume of the cylinder (V) is given by:

$V = \pi r^2h$

where

r is the radius of the cylinder

h is the height of the cylinder.

As per the statement:

34 m on top and 27 m down on the right.

⇒Diameter(d) = 34 m and Height(h) = 27 m

We know:

Diameter = 2(radius)

⇒ $34 = 2r$

Divide both sides by 2 we have;

$r = 17$ m

Substitute these given values in [1] we have;

$V = 3.14 \cdot 17^2 \cdot 27$

⇒ $V = 3.14 \cdot 7803$

Simplify:

V = 24,501.42 cubic m.

Therefore, volume of the cylinder is, 24,501.42 cubic m.

The required volume of the cylinder is 24501.4 cubic meters

Use the concept of the cylinder defined as:

In mathematics, a cylinder is a three-dimensional solid that maintains, at a given distance, two parallel bases connected by a curving surface.

These bases often have a circular form (like a circle), and a line segment known as the axis connects the centers of the two bases.

Given that,

Height of cylinder 'h' = 27m

Diameter = 34 m

Since radius = diameter/2

Therefore, Radius 'r' = 17 m

We know that,

The volume of a cylinder,

V = πr²h

Put the values in this formula we get,

V = 17²(27)π

V = 24501.42 m³ [since π = 3.14]

Hence,

The volume of the cylinder is 24501.4 cubic meters.

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How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 4 times?

Answers

Answer with explanation:

When you toss a coin once , total possible outcome =2={H, T}

When you toss a coin twice , total possible outcome =2²=4={HT,TH,T T,H H}

When you toss a coin thrice , total possible outcome =2³=8

={T T T,T TH, T HT,H T T,H HT,H TH,T H H,H H H}

When you toss a coin 4 times , total possible outcome

$2^4=16$

={T T T T, T T TH, H T T T,T H T T,T T HT,T T H H,H H T T,T H HT,H T TH,H TH T,T H TH, H H HT,H T H H,TH H H,H H TH,H H H H}

=16

There are 16 possible outcomes in all.

So, total number of leaves needed on the tree Diagram = 16 Leaves

1/2 x 1/2 x 1/2 x 1/2 = 1/16

Answer: 16

100 points: Sketch a graph of y = 1x| Then sketch a graph of y = -x + 4 on the same coordinate plane. If you can change colors of your graph, make this one red. In the box below, describe the transformation that took place from y=[xl to y = -1x + 4|

Answers

Answer:

i cant like give you the answer off the top of my head but when i did this the video helped me a lot

Step-by-step explanation:

its How to Graph the line y = x by Cowan Academy

The height of an ostrich is 20 inches more than 4 times the height of a kiwi. If an ostrich is 108 inches tall, how tall is a kiwi?A) 22 inches

B) 27 inches

C) 44 inches

D) 66 inches

Answers

If an ostrich is 108 inches tall. Then the height of the kiwi will be 22 inches. Then the correct option is A.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The height of an ostrich is 20 inches more than 4 times the height of a kiwi.

Let y be the height of the ostrich and x be the height of a kiwi. Then the equation is given as,

y = 4x + 20

If an ostrich is 108 inches tall. Then the height of the kiwi will be

108 = 4x + 20

4x = 88

x = 22

If an ostrich is 108 inches tall. Then the height of the kiwi will be 22 inches. Then the correct option is A.

More about the Algebra link is given below.

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h=height of ostrich
k=height of kiwi
h is 20 more than 4 times k
k=20+4k

k=108
108=20+4k
minus 20 from both sides
88=4k
divide both sides by 4
22=k

answer is A

2. Tickets are on sale for a basketball game atthe Alamodome in San Antonio, Texas. Each
ticket sells for $74.50. Bus shuttle prices to the
event cost $15 per family. Which equation can
be used to determine t, the total cost to attend
the game if n tickets are purchased by the
Gonzalez family?
F. n = 74.50t + 15
G. t = 15n+74.50
H. t = 74.50m + 15
J. t = 74.50m + 15n