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3 years ago

Write an inequality that compares the given numbers. - 1; 4

Mathematics

1 answer:

Oduvanchick [21]3 years ago

6 0

Answer:

-1<4

Step-by-step explanation:

-1<4

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How long is the unpainted strip of each part of the road

lions [1.4K]

208/16 = 13 yards per part

13-4 = 9 yards of unpainted strip per strip

9*16 = 144 of unpainted strips

7 0

4 years ago

Find the perimeter of the triangle with vertices A(negative 2,2,3), B(4,negative 4,3), and C(7,6,4).

gayaneshka [121]

Answer:

$P\approx 28.872\,\text{units}$

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

for the side AB: A(-2,2,3) and B(4,-4,3)

$AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}$

$AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}$

$AB = \sqrt{72}$

for the side BC: B(4,-4,3) and C(7,6,4)

$BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}$

$BC = \sqrt{110}$

for the side CA: C(7,6,4) and A(-2,2,3)

$CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}$

$CA = \sqrt{98}$

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

$P = AB + BC + CA$

$P = \sqrt{72} + \sqrt{110} + \sqrt{98}$

$P\approx 28.872\,\text{units}$

this is the perimeter of triangle ABC

6 0

4 years ago

Find the measure of angle A.<br><br> 71° x+49<br> +72

slega [8]

Answer: 66 degrees

Step-by-step explanation:

Sum of the angle measures is 180, so:

71 + x + 49 + x + 72 = 180

2x + 192 = 180

2x = -12

x = -6

Meaning the measure of angle A = -6 + 72 = 66 deg.

5 0

3 years ago

A 15 ft ladder makes a 52° angle with the ground. How far will the top of the ladder be above the ground.

levacccp [35]

Answer:

11.820 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...

sin(52°) = height/(15 ft)

Multiplying by the denominator gives you ...

height = (15 ft)·sin(52°) ≈ 11.820 ft

___

You may need to round this number appropriately.

5 0

4 years ago

Point V is on line segment UW. Given VW = 6 and UV = 14, determine the<br> length UW

SpyIntel [72]

Answer: The length is 20.

Step-by-step explanation:

If UW is the line segment, then the length of VW and UV has to equal to the length of UW

VW = 6

UV = 14

6 + 14 = 20

6 0

4 years ago

Read 2 more answers