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scoray [572]
3 years ago
10

Draw a shape using a rectangle and a triangle

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0
You can draw a house :)
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Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 mph faster than Charlene. They meet in
Thepotemich [5.8K]

Answer:

34 mph.    

Step-by-step explanation:

Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.

Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.  

Now we will use formula \text{Speed}=\frac{\text{Distance}}{\text{Time}}. Upon using our given information we will get two equation and two unknowns as:  

x+16=\frac{420-y}{5}...(1)

x=\frac{y}{5}...(2)

Upon substituting x=\frac{y}{5} in 1st equation we will get,

\frac{y}{5}+16=\frac{420-y}{5}

Upon multiplying both sides of our equation by 5 we will get,

5(\frac{y}{5}+16)=420-y

5\times\frac{y}{5}+5\times 16=420-y    

y+80=420-y

y+80+y=420-y+y

2y+80=420

2y=420-80

2y=340

y=\frac{340}{2}  

y=170      

Upon substituting y=170 in 2nd equation we will get,

x=\frac{170}{5}

x=34

Therefore, Charlene's speed is 34 miles per hour.


6 0
3 years ago
3z + 2 + (-52) + 6<br> Help !!!
Norma-Jean [14]

Answer:

3z-44

Step-by-step explanation:

All you have to do is to simplify the numbers. 2 + 6 - 52 = -44.

8 0
3 years ago
7
Fofino [41]

Answer:

15:7

Step-by-step explanation:

you put the numbers in order first the number of on time trains to off time trains

5 0
1 year ago
(20 point question) Samantha wants to use her savings of $1,150 to buy shirts and watches for her family. The total price of the
erastova [34]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
A steep mountain is inclined 74 degree to the horizontal and rises to a height of 3400 ft above the surrounding plain. A cable c
8_murik_8 [283]

Answer:

3854ft

Step-by-step explanation:

By assuming that the cable is not doubled.

in order to find the length of the base of the mountain

tan74°=3400/x

x= 3400/tan74°

x≈ 975ft

Therefore, the length of the cable equals to

            =\sqrt{3400^2+(975 + 840)^2}

length≈ 3854ft

Thus, the shortest length of cable needed is 3854ft

3 0
3 years ago
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