What percent is 39 ft of 110 ft

Starting at home, Nadia traveled uphill to the grocery store for 30 minutes at just 4 mph. She then traveled back home along the

seraphim [82]

Answer: $6\ mph$

Step-by-step explanation:

Let d be the distance from Nadia's home to the grocery store.

Given : Nadia traveled uphill to the grocery store for 30 minutes at just 4 mph.

∵ 1 hour = 60 minutes.

Then, $30\text{ minutes}=\dfrac{30}{60}=0.5\text{ hour}$

Since $\text{Distance = Speed * Time}$

Then, $d=4\times0.5=2\text{ miles}$

Also, She then traveled back home along the same path downhill at a speed of 12 mph.

Then, Time taken to travel back home = $\dfrac{\text{Distance}}{\text{Speed}}=\dfrac{2}{12}=\dfrac{1}{6}\text{ hours}$

Average Speed = $\dfrac{\text{Total distance}}{\text{Total time taken}}$

$=\dfrac{2+2}{0.5+\dfrac{1}{6}}\\\\=\dfrac{4}{\dfrac{3+1}{6}}=\dfrac{4\times6}{4}=6\ mph$

Hence, her average speed for the entire trip from home to the grocery store and back = $6\ mph$

8 0

4 years ago

Determine whether each of the following pairs of angles have equal measures.

Hatshy [7]

The pairs of angles that have equal measures are:

LJP
NJR
MJP
PJR

The pairs of angles that do not have equal measures are:

MJK
PJR
KJR
MJP
KJL
LJM

<h3>What is an angle?</h3>

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

Both MJK and PJR can be seen as (Unequal angles)

The angle MJK is ( 90 degrees), then angle PJR will be ( 48 + 46 )= 94 degrees

Both LJP and NJR can be seen as ( Equal angles)

The measure of angle LJP = 48 + 46 + 48 = 142 degrees

The measure of angle NJR = 48 + 48 + 46 = 142 degrees

KJR & MJP = Unequal

The angle KJR will now be [ 360 - (46+48+48+46+90) ]

= 82 degrees

The angle MJP will be ( 94 degrees)

Both KJL & LJM are Unequal, then

The angle KJL will be 42 degrees, then angle LJM will be ( 90 - 42 )

= 48 degrees

Read more about pairs of angles here:

brainly.com/question/17643033

#SPJ1

CHECK THE COMPLETE QUESTION BELOW:

Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair

of angles into the correct catagory to show which pairs have equal measures.

MO

N

46°

42°

48°

46°

R

ZMJK and LPUR

ZLJP and ZNJR

ZKJR and ZMJP

MJP and ZPJR

ZKIL and ZUM

Equal Measures

Unequal Measures

4 0

2 years ago

What is the inverse of f(x)=(x−5)^2 for x≥5 where function g is the inverse of function f?

Alexxandr [17]

Answer:

f-1(x) = √x. +5

Step-by-step explanation:

f(x) = (x-5)^2

x = (y-5)²

√x = y-5

√x +5 = y

7 0

3 years ago

Find the value of X, round to the nearest 10th

Lesechka [4]

Answer:

4.0731 cm

Step-by-step explanation:

Use pythagorean Theorem which is a^2 + b^2 = c^2 where a and b are the sides of the triangle and c is the hypotenuse, in other words the longest side.

Since x is in line with the center of the circle and is perpendicular with line that measures 15.6 cm we know that one side of the triangle is half of 15.6 or 7.8.

So then we input our known values into the formula and solve for the missing one. The formula looks like this

7.8^2 + b^2 = 8.8^2

solve for b and you get about 4.07431

your very welcome

7 0

3 years ago

What is the median of the following set of numbers?

Gnesinka [82]

21, 45, 121, 300, 312, 333, 347, 421, 614,

The median is the middle number of a data set therefore you need to arrange the data is order from smallest to largest as I have done above. Then you need to find the number in the middle which is 312 in this case by finding the number which has the central position (position 5 in this case) of the data set. If there are an even number of numbers in the data set, you add them together and divide by 2 though that is not necessary this time as there are an odd number of numbers.

3 0

3 years ago

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