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Scorpion4ik [409]
3 years ago
8

The sum of three consecutive integers is -30. find the integers.

Mathematics
1 answer:
slega [8]3 years ago
5 0
Consecutive integers are one apart from each tother
they are
x,x+1,x+2

sum is -30
x+x+1+x+2=-30
3x+3=-30
minus 3 both sides
3x=-33
divide 3
x=-11

find rest
x+1=-11+1=-10
x+2=-11+2=-9

they are
-9,-10,-11
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During the summer Andrew worked for 5 days each week he worked 8 hours each day
Tema [17]
He made $40 those 5 days.

8•5=40
7 0
2 years ago
an automobile 16 feet long overtakes a truck that is 28 feet long and is traveling 30 mph. At what rate must the automobile trav
Oduvanchick [21]
<h2>Automobile must travel at 96 mph to pass the truck in 4 seconds.</h2>

Step-by-step explanation:

Length of  automobile = 16 feet = 4.88 m

Length of truck = 28 feet = 8.53 m

Speed of truck = 30 mph = 48 km/h = 13.33 m/s

Time in which automobile to pass truck = 4 s

Distance traveled by truck in 4 seconds = 4 x 13.33 = 53.33 m

Distance which need to cover by automobile in 4 seconds to pass truck is the sum of length of  automobile, length of truck and distance traveled by truck in 4 seconds.

Distance which need to cover by automobile in 4 seconds = 4.88 + 8.53 + 53.33

Distance which need to cover by automobile in 4 seconds = 66.74 m

Distance = Speed x Time

66.74 = Speed x 4

Speed = 16.69 m/s = 60 km/h = 96 mph

Automobile must travel at 96 mph to pass the truck in 4 seconds.

8 0
2 years ago
The lateral area of a cylinder is 325 pi inch^2. The radius is 13 in. Find the surface area and volume. Please show all work!!!
USPshnik [31]
Answer:

Surface area =  663π in².
Volume = (676/3)π in² ≈ 225.33 π in²

Explanation:


1) We know the radius and the lateral area.

2) With the radius you can find the areas of the top and the bottom.

For that, you use the formula: 

area of the top = area of the bottom = π r² 


∴ π (13 in)² = 169π in² (each)


3) Then, the surface area is the sum of the lateral area and the two bases (top and bottom)

surface area = lateral area + bottom area + top area = 325π in² + 2×169π in² = 663π in².

3) You  can also find the height of the cylinder.

Use the formula: lateral area = 2π r h


∴ h = lateral area / [2 π r]

⇒ h = 325 π / [ 2π (13) ] = 12.5 in


4) With  the height you can find the volume.

Use the formula: V = (4/3) π r³ 

∴ V = (4/3) π (13 in)³ = (676/3)π in² ≈ 225.33 π in²
8 0
3 years ago
I need help with some grade 10 math something to do with graphing
Vilka [71]
Vertex: (2,1)
axis of symmetry: (0,2)
direction of opening: up
not sure what optimal value is.
y-intercept: (0,5)
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3 0
3 years ago
An equilateral triangle has a perimeter of 48 cm. What is the area?
KiRa [710]

Answer:

A=64\sqrt{3}\ cm^2

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

so

The perimeter is equal to

P=3b

where

b is the length side of the equilateral triangle

we have

P=48\ cm

substitute

48=3b

solve for b

b=48/3\\b=16\ cm

Find the area

The formula of area applying the law of sines is equal to

A=\frac{1}{2}b^2sin(60^o)

substitute the value of b

A=\frac{1}{2}(16)^2sin(60^o)

sin(60^o)=\frac{\sqrt{3}}{2}

A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})

A=64\sqrt{3}\ cm^2

6 0
2 years ago
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