If a scientific team uses special equipment to measures the pressure under water and finds it to be 282 pounds per square foot, at what depth is the team making their measurements?

Step-by-step explanation:

✰ [tex] \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} : [/tex]

✰ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} : [/tex]

✰ [tex] \underline{ \underline{ \large{ \tt{S \: O

\: L \: U \: T\: I\: O \: N}}}} : [/tex]

In right angled triangle ABE :

Now , Using trigonometric ratio :

[tex] \large{ \tt{Sin \theta \: = \: \frac{Perpendicular}{Hypotenuse} }}[/tex]

Plug the known values :

⟶ [tex] \large{ \tt{ Sin(20) = \frac{h}{8} }}[/tex]

⟶ [tex] \large{ \tt{0.34 = \frac{h}{8}}} [/tex]

⟶ [tex] \large{ \tt{h = 0.34 \times 8}}[/tex]

⟶ [tex] \large{ \tt{h = 2.72}}[/tex]

Now , We have :

Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :

❀ [tex] \underline{ \underline{ \text{Area \: of \: parallelogram = \tt{b *\: h}}}}[/tex]

⟶ [tex] \large{ \tt{A = 15 *2.72}}[/tex]

⟶ [tex] \large{ \tt{A = 40.8 \: {units}^{2} }}[/tex]

Hence , Our final answer :

[tex] \large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}[/tex]

[tex] \large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \: {units}^{2} }}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !! ✎

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Answer:

Slope is -1/3

Step-by-step explanation:

(-5,-7)(-2,-8)

-8+7/-2+5

-1/3

m=-1/3

Answer:

Slope=-1/3

Step-by-step explanation:

Your problem → (x^8+2x^4+1)+(2x^4+x^2+1)

(x^8+2x^4+1)+(2x^4+x^2+1)

=x^8 + 2x^4 + 1 + 2x^4 + x^2+1

=x^8+2x^4+2x^4+x^2+1+1

=x^8+4x^4+x^2+2

14,696

buen dia

(lo siento)

Answer: 45 apples will be needed to fill 3 boxes

Step-by-step explanation: If there are an even amount of apples in each box, 15 times 2 is 30. So if there are 15 apples in each box, 15 times 3 is 45.

Answer:45 apples

Step-by-step explanation:

Since 15 apples are needed to fill 1 box, 45 apples are needed to fill 3 bboxes

Answer:

just about 24 years

Step-by-step explanation:

Probability that Margaret will get a higher number than Carlos is 3/2.

Probability is the measure of the likelihood of an event to occur.

P(E) = number of favorable outcomes/ total number of outcomes

Where, P(E) is the probability of an event.

According to the question we have,

A spinner goes from 1 to 6.

⇒ sample space = {1, 2, 3, 4, 5, 6}

⇒ Total number of outcomes = 6

Also, Carlos spins 3.

So, the numbers which required to win the game by Margaret are 4, 5 ,6 (greater than 3).

⇒ Total number of favorable outcomes = 3

Therefore,

The probability that Margaret will get a higher number than Carlos = [tex]\frac{3}{2}[/tex]

Learn more about probability here:

https://brainly.com/question/11234923

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Answer:

10407

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

For the equation to be true, any number that would be multiplied by 7/5 should give us a number that is less than 7/5.

This means any number we are going to use to multiply 7/5 must not be less than 1.

²/3 is less than 1.

Let's multiply and see:

⁷/5 × ⅔ < ⁷/5

14/15 < ⁷/5 (this is true because ⁷/5 is greater than 14/15)

Therefore, the answer is A.

Answer: x=1/3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x−1<0

Step 2: Add 1 to both sides.

3x−1+1<0+1

3x<1

Step 3: Divide both sides by 3.

3x/3 <1/3

x/1/3

Answer:

Step-by-step explanation:

Answer:

its latter A

Step-by-step explanation:

i hope its help

Answer:

Step-by-step explanation:

The area of a circle is 3.14r^2

The area of the triangle is bh/2

The area of the rectangle is wh

A=3.14(5^2)/2+8(10)/2+5(20)

A=3.14(25)/2+40+100

A=179.25 cm^2

Answer:

Step-by-step explanation:

Area of rectangle = 5 × 20 = 100 cm²

Area of triangle = 0.5 × 10 × 8 = 40 cm²

Are of semicircle = 0.5 × area of circle = 0.5 × πr² = 0.5 × 25π = 12.5π cm²

Total area = 100+40+ 12.5π ≈ 179.25 cm²

Answer:

Step-by-step explanation:

Answer:

In this exercise, you need to get d:

12 = 18 - d

What we can do is substracting 18 in both sides:

12 - 18 = 18 - 18 - d

-6 =  -d

And then, we can say that d = 6..

Answer:

78

Step-by-step explanation:

angle ACD + angle DCB = 180   (Angles on straight line)

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 180-5

7x = 175

x = 175 / 7

x = 25

angle DCB = 3x +3 = 3*25 + 3 = 75 +3 = 78

Answer:

45 degrees

Step-by-step explanation:

Answer:

14 inches

Step-by-step explanation:

Using this information, we can form an equation.

Since there are 3 sides in a triangle, and each side increased by 6, that means that the perimeter increased by 18 inches. Down below, I did 3x because there are 3 sides in a triangle.

(This is the equation you'd want to do to get the answer)

3x + 3 * 6 = 60

Simplify:

3x + 18 = 60

Same to both sides

3x = 42

Isolate x:

x = 14

Let me know if you have any questions

Answer:

should be segment BT, that's what i put and it was right. hope this helps

Step-by-step explanation:

The altitude to the line segment AC is line segment BL.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, L, M, N are midpoints.

We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.

By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.

learn more about the altitude of a triangle here :

https://brainly.com/question/17020135

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Answer:

cierto

Step-by-step explanation:

Answer:

the answer of this question is

c

Answer:

1750 sq m

Step-by-step explanation:

100 x 85 = 8500 and 90 x 75 = 6750, so take away 6750 from 8500, 8500 - 6750 = 1750 sq m

Answer:

(7) n = ⁴/₃

(8) x = -5

(9) d = ³/₂

(10) v = -20

Step-by-step explanation:

(7) [tex]n-\frac{8}{9} = \frac{4}{9}[/tex]

[tex]n-\frac{8}{9} = \frac{4}{9} \\\\Collect \ similar \ terms \ together\\\\n = \frac{4}{9} + \frac{8}{9} \\\\n = \frac{4+8}{9} \\\\n = \frac{12}{9} \\\\n = \frac{4}{3}[/tex]

(8)

[tex]\frac{3}{2} + \ x = -\frac{7}{2}\\\\collect \ similar \ terms \ together\\\\x = -\frac{7}{2} -\frac{3}{2} \\\\x = \frac{-7-3}{2} \\\\x = \frac{-10}{2} \\\\x = -5[/tex]

(9)

[tex]\frac{6}{5} = \frac{d}{(\frac{5}{4} )} \\\\cross \ and \ multiply\\\\5d = 6(\frac{5}{4} )\\\\5d = \frac{30}{4} \\\\d = \frac{30}{4\times 5} \\\\d = \frac{30}{20} \\\\d = \frac{3}{2} \\\\d = 1\frac{1}{2}[/tex]

(10)

[tex]-\frac{1}{8} v = \frac{5}{2} \\\\\frac{-v}{8} = \frac{5}{2} \\\\cross \ and \ multiply\\\\-2v = 40\\\\-v = \frac{40}{2} \\\\-v = 20\\\\v = -20[/tex]

Answer:

Group B has the higher median by 0.5 inches. The IQR for Group A is smaller. IQR for Group B is 2 inches.

Answer:

84 degrees

Step-by-step explanation:

3x = 4x - 28. Reason: Alternate Exterior Angle are congruent

X=28 Reason: Algebra

Y+4x-28= 180 Reason: Straight angles = 180 degrees

Y=84. Reason: Algebra

SLOPE is the picture.

Point-Slope form is y+1=-1/2*(x+2)

The y=mx+b form is y=-1/2x-2

i hope its not confusing lol

Answer:

with simplify: 1 4/20.

without simplify: 24/20

Step-by-step explanation:

first we have to find the common denominator

can 4 go into 10? no.

can 4 go into 20? yes! it goes into 20, 5 times!

common denominator = 20

_/20 + _/20

what we do to the bottom we do to the top

7 x 2= 14

14/20 + _/20

2 x 5= 10

14/20 + 10/20 = 24/20

now simplify

1 4/20

hope this helped!