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Alja [10]
3 years ago
11

Which of the following is the solution to the equation 25(z + 4) = 125?

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0
Z=1 ..................
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Josh is hiking Glacier National Park. He has now hiked a total of 17km, and is 2km short of being 1/2 of the way done with his h
slamgirl [31]
17 + 2 = 19 km is 1/2 of the total length, that is,

19 = (1/2)h

(1/2)h = 19 multiply both sides by 2

h = 2*19

h = 38 km

The total length in kilometers is 38 km
3 0
3 years ago
The points A BC :(2, 2,1), :(1,1,3), :(2,0,5) − are the vertices of a right triangle. The radius of the sphere with center at th
ElenaW [278]

Answer:

r=1

Step-by-step explanation:

First we need to know the length of each side of the triangle, so we use the formula of the vector modulus:

|AB|= \sqrt{(b_{1}-a_{1})^{2}+(b_{2}-a_{2})^{2}+(b_{3}-a_{3})^{2}

By doing so, we find:

|AB|=\sqrt {6}\\|BC|=\sqrt {6}\\|AC|=2\sqrt {5}

With this we know that the triangle is not right, but, we assume the longest side as the hypotenuse of the problem.

As we have two equal sides, we know that the line between point |AB| and the center of the hypotenuse is perpendicular, therefore, we can calculate it using Pythagoras theorem:

|BC|^{2}=r^{2}+(\frac{|AC|}{2})^{2}\\\\r^{2}=|BC|^{2}-(\frac{|AC|}{2})^{2}\\\\r^{2}=(\sqrt{6})^{2}- (\frac{2\sqrt{5}}{2})^{2}\\\\r^{2}=6-5=1\\r=1

4 0
3 years ago
Justin is training for a hamburger eating competition. He is eventually able to eat 15 hamburgers in 10 minutes.
cluponka [151]
Importance must always be given to all the information's that are already given in the question. Based on those information's the answer to the question can be easily deduced.
Number of Hamburgers eaten by Justin in 10 minutes = 15
Then
The number of hamburgers eaten by Justin in 1 minute = 15/10
                                                                                         = 1.5
So option "B" is the correct option among all the options given in the question. It can seen from the deduction that Justin can eat 1.5 hamburgers in 1 minute. I hope the procedure is clear enough for you to understand.
5 0
4 years ago
Read 2 more answers
brian and brenda are having a lemonade sale. brenda sells 20 cups of water in 2 hours. how many cups of lemonade did she sell pe
ruslelena [56]

Answer:

She sold 10 cups per hour

Step-by-step explanation:

To find the number per hour, divide the total sold by the total number of hours.

20 cups/2 hours = 10 per hour

6 0
3 years ago
A land surveyor places two stakes 500 ft apart and creates a perpendicular to the line that connects these two stakes. He needs
GaryK [48]

Answer:

The midpoint along the line connecting the two stakes

Step-by-step explanation:

Took the test, your welcome!

6 0
3 years ago
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