All categories

3 years ago

this is a diagram of a ramp that will be constructed in one of the new exhibits. what is the height of the ramp

Mathematics

2 answers:

guajiro [1.7K]3 years ago

7 0

Answer:

A) 16 in

Step-by-step explanation:

To find the height of the ramp, we have to use the Pythagorean theorem.

Let's take x be the height of the ramp.

x = √(34^2 - 30^2)

x = √(1156 - 900)

x = √256

x = 16 in

Therefore, the height of the ramp 16 inches.

Hope this will helpful.

Thank you.

Harrizon [31]3 years ago

4 0

Height = sqrt (34^2 - 30^2) ( using Pythagoras theorem)
= sqrt256 = 16 inches

You might be interested in

A motorboat maintained a constant speed of 15 miles per hour related to water going 44 miles upstream then returning the total t

yanalaym [24]

The speed of the current is 13 mph

<h3>What is speed?</h3>

speed refers to distance travelled per unit time. This is a vector quantity this implies that it has magnitude and direction.

The unit for speed as used here is miles per hour and can be written in short form as mph

<u>Given data</u>

speed of boat = 15 miles per hour = 15 mph

distance = 44 miles upstream

total time for the trip = 7.5 hours

<h3>solving for the speed of the current</h3>

let the water current be x

speed = distance / time

the total travel time upstream and downstream is known

for upstream

15 - x = 44 / time

time = 44 / 15 - x

for downstream

15 + x = 44 / time

time = 44 / 15 + x

total time = time for upstream + time for downstream = 7.5

7.5 = (44 / 15 - x ) + ( 44 / 15 + x )

7.5 = ( 44 ( 15 + x ) + 44 ( 15 - x ) ) / ( 15 + x )( 15 - x )

7.5 ( 15 + x )( 15 - x ) = 210 +44x + 210 - 44x

7.5 ( 225 - x ^ 2 ) = 420

( 225 - x ^ 2 ) = 56

169 = x ^ 2

x = sqrt ( 169 )

x = 13 miles per hour

hence speed of current is 13 miles per hour

Read more on speed here: brainly.com/question/4931057

#SPJ1

3 0

1 year ago

STANDARD DEVIATION

givi [52]

Answer:

0.1527

Step-by-step explanation:

Standard Deviation = √p × q/n

Reynolds: 63%

Bachmann: 37%

n = 100

Standard Deviation = √0.63 × 0.37/100

= √(0.02331)

= 0.1526761278

≈ 0.1527

4 0

3 years ago

Given: B bisects EA, FE is parallel to CA, DC is parallel

SIZIF [17.4K]

Answer:

Choice 3: AAS

Step-by-step explanation:

We can prove that by AAS that means we need two congruent angles and one congruent side.

The first angle will be the vertical pair <FBG and <DBC.

The second angle will be the alternate interior pair <G and <D.

The one side will be $\overline{GB}$ and $\overline{BD}$ .

3 0

2 years ago

2(4x-1)+3=7<br> i'm little confused on this

Ratling [72]

Answer:

x = $\frac{3}{4}$

Step-by-step explanation:

Since you cannot subtract -1 from 4x, you multiply 2 × 4x = 8x

Now, you have 8x - 1 + 3 = 7

Seperate the 8x from the other numbers

8x = 1 - 3 + 7 ---> 6

8x = 6

Now simplify

x = $\frac{6}{8}$ <----- to reduce, divide the numerator and denominator by 2

Hence,

x = $\frac{3}{4}$

4 0

3 years ago

¿Cuál de las siguientes expresiones es equivalente a (5 ∙ 5 ∙ 5 ∙ 5)3?

frosja888 [35]

Answer:

translate: "Which of the following expressions is equivalent to (5 x 5 x 5 x 5)3?"

57???

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers