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jarptica [38.1K]
3 years ago
10

Justine runs 250 yards in 50 seconds.

Mathematics
1 answer:
DaniilM [7]3 years ago
7 0

Answer:

a: 300 Yards

b: 10 seconds

c: 5 Yards per second

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A piece of property lies between two parallel streets as shown. m<1=(2x+6)°,and m<2=(3x+9)°. What is the relationship betw
kolezko [41]
  • The angles are supplementary angles
  • The measure of angle m<1 and m<2 are 72 and 108 degrees respectively

Find the diagram attached. From the figure, the sum of the angles m<1 and m<2 are supplementary

Given the following angles

m<1 = 2x + 6

m<2 = 3x + 9

Since both angles are supplementary, hence;

2x + 6 + 3x + 9 = 180

5x + 15 = 180

5x = 180 - 15

5x = 165

x = 165/5

x = 33

Get the measure of m<1;

m<1 = 2x + 6

m<1 = 2(33) + 6

m<1 = 66 + 6

m<1 = 72degrees

Get the measure of m<2:

m<2 = 180 - m<1

m<2 = 180 - 72

m<2 = 108degrees

Hence the measure of angle m<1 and m<2 are 72 and 108 degrees respectively

Learn more here: brainly.com/question/22309882

5 0
3 years ago
According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction.
lesya692 [45]

Answer:

Expected Number=71

Variance =4959

Standard Deviation= 70.42

Step-by-step explanation:

Expected Number = E (x) = np

Here p = 0.71 and q= 1- 0.71= 0.29 n= 100

Expected Number = E (x) = np = 0.71*100= 71

b) The Variance and Standard Deviation for the number of these tweets with no reaction

Suppose the number of tweets are hundred then the number of tweets with no reaction would be 71 .

Variance = E(x²) - [E(x)]² =  (100)²- (71)²= 10000- 5041= 4959

Standard Deviation= √4959= 70.42

6 0
3 years ago
The volume of a rectangular prism is (x^3 – 3x^2 + 5x – 3), and the area of its base is (x^2 – 2). If the volume of a rectangula
bixtya [17]

Answer:

The height of the prism is equal to h=(x^{3}-3x^{2}+5x-3)/(x^{2}-2)

Step-by-step explanation:

we know that

The volume of a rectangular prism  is equal to

V=Bh

where

B is the area of the base of the prism

h is the height of the prism

In this problem we have

V=x^{3}-3x^{2}+5x-3

B=x^{2}-2

substitute in the formula and solve for h

x^{3}-3x^{2}+5x-3=(x^{2}-2)h

h=(x^{3}-3x^{2}+5x-3)/(x^{2}-2)

3 0
4 years ago
What are the original substances called in a chemical reaction?
yulyashka [42]

Answer:

reactants

A chemical reaction is the process in which atoms present in the starting substances rearrange to give new chemical combinations present in the substances formed by the reaction. These starting substances of a chemical reaction are called the reactants, and the new substances that result are called the products.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Add: 3/10 + 4/100 please help me
slamgirl [31]
You just convert 3/10 into 30/100 and add 30/100 + 4/100 which is equal to 34/100 and if you simplify it's equal to 17/50
3 0
3 years ago
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