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3 years ago

A 33-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 37-m.

Mathematics

1 answer:

Kipish [7]3 years ago

7 0

Answer:

$\sqrt{280}$ = 2 $\sqrt{70}$

37^2 = 1369

33^2 =1089

1369-1089 = 280

Step-by-step explanation:

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5•x+5 - (5x + 25)

sukhopar [10]

Ok, so you have your equation, 5·x+5-(5x+25).
First, do the prathases, so you have, 5x+5-5x-25.(5·x also means 5x)
Now, you need to combine like terms, and through that the xs cancel out, so you are left with -20 as you answer.

3 0

2 years ago

Read 2 more answers

A father is 38 years old. his sons are 13 and 5 years old, and his daughter is 8 years old. In how many years will the father be

nalin [4]

Answer:

6 years

Step-by-step explanation:

So each person's age can be represented as a linear equation, since each year our age increases by 1. It can be represented in the slope-intercept form: y=mx+b. The slope in this case is going to be 1, since the time is going to be years, and each year everyone's age goes up by 1 (of course if you're still alive...) and y-intercept in this case represents their current age.

So the father can be represented as: y=x+38

The sons can be represented as: y = x+13 and y=x+5

The daughter can be represented as: y=x+8

So adding up all his children you get:

(x+13)+(x+5)+(x+8)

This gives you the equation:

3x+26

Now set this equal to the father's age to solve for x (in this context it's years)

3x+26=x+38

Subtract from both sides

2x+26=38

Subtract 26 from both sides

2x=12

Divide both sides by 2

x=6

So in 6 years the father will be the same age as his children put together

8 0

2 years ago

Pete needs to install a circular window with a radius of 7.25 inches. Which is the closest to the amount of glass he will need?

katrin [286]

Answer:

)165.05

Step-by-step explanation:

7.25²=52.56

52.56*3.14=165.05

7 0

3 years ago

Read 2 more answers

A clown bought 5 bags of round balloons with 24 balloons in each bag. The clown also bought 3 bags of long balloons with 36 ball

dimaraw [331]

Answer:

247 blown up balloon left

Step-by-step explanation:

5 bags of round balloon with 24 balloon in each bag =

= 5 x 24 = 120 round balloons

3 bags of long balloon with 36 balloon in each bag =

= 3 x 36 = 108 long balloons

Part 1 Answer

120 round balloons - 108 long balloon = 12 balloons

therefore the clown bought 12 more round balloon than long balloon

Part 2

3 bags of heart-shaped balloons with 14 balloons in each bag =

= 3 x 14= 42 heart-shaped balloons

All the balloons were blown which equals

120 round balloons + 108 long balloons + 42 heart-shaped balloons =

= 270 balloons

23 balloons out of the 270 balloons burst which equals

270 blown balloon - 23 burst balloon = 247 blown-up balloons left

so,

247 blown-up balloons were left

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3 years ago

An art teacher has a box of 100 markers. The teacher gives 7 markers to each student in the class and has 16 markers left over.

tigry1 [53]

100-16=84
84÷7=12
there are 12 students in the class because first you subtract 16 from 100 so you have that left then you divide that by 7 to find out how many students get 7 markers.

5 0

3 years ago