The prism shown has a volume of 35cm³. Work out the height of the triangular cross section. The length going back is 7cm and the bottom section of the triangular cross section is 4cm.

Answer:

los pala de depotistas ingrese banca para tomar la decision

Step-by-step explanation:

Answer:

see the picture

Step-by-step explanation:

attached

Answer:

25 quarters, 5 half dollars

Step-by-step explanation:

let a = the number of half dollars in the jar

and b = the number of quarters

a + b = 30

0.5a + 0.25b = 8.75

multiply the second equation by -2 to get

-a - 0.5b = -17.5

Now add the new equation and the first to eliminate h

a + b = 30

-a - 0.5b = -17.5

----------------------------

0.5b = 12.5

b = 25

There are 25 quarters, so there must be 5 half dollars

Answer:

Step-by-step explanation:

Let half dollars be d and quarters be q

d + q = 30 thus, q = 30 - d

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

0.5d + 0.25q = 8.75 substitute for q:

0.5d + 0.25(30 - d) = 8.75

0.5d + 7.5 - 0.25d = 8.75

0.25d = 1.25

d = 5 so there are 5 half dollars in the jar

Therefore, there are 30 - 5 = 25 quarters in the jar

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Check:

25 x 0.25 = 6.25

5 x 0.5 = 2.5

-----------------

Total . . 8.75 Correct

Answer:

Step-by-step explanation:

[tex](1.6x + 7.3) + (-0.6x + 2) - (7.8 -3.4x)\\Ope- the- brackets\\1.6x+7.3-0.6x+2-7.8+3.4x\\Collect-like-terms\\1.6x-0.6x+3.4x+7.3+2-7.8\\4.4x+1.5[/tex]

Answer:

4.4

Step-by-step explanation:

Answer:

Peter started with 21 cards

Step-by-step explanation:

half of his card that gave to bobby =9

so the other half is 9

9+9=18

18+3 cards that he lost at the beginning=21

Answer:

Substitute 21 for X in the original equation YES

Substitute any number for X in the original equation NO

Bobby’s claims that x=21 is correct YES

The result of verifying Bobby's work is 9=9 YES

The result of verifying Bobby's work is 21=21 NO

Step-by-step explanation:

got right on edg

Answer:

51m

Step-by-step explanation:

tan 21 = y/35;    y=13.43

tan 47 = x/35;    x=37.53

13.43+37.53 = 50.97 = 51m

Answer:

A and C

x = -(√17 - 5)/2, (√17 + 5)/2

Step-by-step explanation:

Quadratic Formula: [tex]x = \frac{-b +/-\sqrt{b^2-4ac} }{2a}[/tex]

Step 1: Use quadratic formula

a = 1, b = -5, c = 2

[tex]x = \frac{5 +/-\sqrt{(-5)^2-4(1)(2)} }{2(1)}[/tex]

[tex]x = \frac{5 +/-\sqrt{25-8} }{2}[/tex]

[tex]x = \frac{5 +/-\sqrt{17} }{2}[/tex]

Answer:

15

Step-by-step explanation:

Answer:  

Miguel babysits for 3 hours and earns $15. Which represents the unit rate?

Option  D

(D) $5 per hour

Step-by-step explanation:

$5.00 Per Hour Represents unit rate,  15 / 3 = 5

Answer:

y=3x+6

Step-by-step explanation:

When creating a slope equationg like this one the slope will always have the x next to it and the y intercept will always be on the end

¿Cuanto tardara en tocar 10 campanadas?

Answer:

hope this helps uh...!!!

Answer:

Step-by-step explanation:

3x+6y=-18

y=-3x/6-18/6

y=-1/2 x-3

Answer:

The reference angle of [tex]\frac{2\pi}{3}[/tex] is [tex]\frac{\pi}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2\pi}{3}[/tex]

Required

Which represent its reference angle

The very first step is to determine the quadrant of the given angle

For better understanding;

Convert [tex]\frac{2\pi}{3}[/tex] to degrees

[tex]\frac{2\pi}{3}[/tex] = [tex]\frac{2}{3} * 180[/tex]

[tex]\frac{2\pi}{3}[/tex] = [tex]\frac{2 * 180}{3}[/tex]

[tex]\frac{2\pi}{3}[/tex] = [tex]\frac{360}{3}[/tex]

[tex]\frac{2\pi}{3}[/tex] = [tex]120[/tex]

120 degrees in in the second quadrant; Hence, [tex]\frac{2\pi}{3}[/tex] is in the second quadrant

The reference angle of [tex]\frac{2\pi}{3}[/tex] is calculated using the following formula;

[tex]\pi - \frac{2\pi}{3}[/tex]

Rewrite [tex]\pi[/tex]

[tex]\pi - \frac{2\pi}{3} = \frac{3\pi}{3} - \frac{2\pi}{3}[/tex]

Take LCM

[tex]\pi - \frac{2\pi}{3} = \frac{3\pi - 2\pi}{3}[/tex]

[tex]\pi - \frac{2\pi}{3} = \frac{\pi}{3}[/tex]

Hence, the reference angle of [tex]\frac{2\pi}{3}[/tex] is [tex]\frac{\pi}{3}[/tex]

The reference angle for the angle 2π/3 is, π/3

Given that,

An angle is,

⇒ 2π/3

To determine the reference angle we need to find the quadrant of the given angle.

For this, we can convert angle into degree,

2π / 3 = 2 × 180 / 3

          = 120°

Since, 120 degrees is lies in the second quadrant.

Hence, 2π/3 is in the second quadrant.

So, The reference angle is,

⇒ π - 2π/3

⇒ π/3

Therefore, The reference angle for the angle 2π/3 is, π/3

Learn more about the angle visit:;

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Answer:

A

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = 8 - 10 = - 2, thus

[tex]a_{n}[/tex] = 10 - 2(n - 1) → A

Answer:

A

Step-by-step explanation:

an = 10 – 2(n – 1)

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▹ Answer

x = -3

▹ Step-by-Step Explanation

-4(1.5x - 5) + 4x = 26

-6x + 20 + 4x = 26

-2x + 20 = 26

-2x = 26 - 20

-2x = 6

x = -3

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: x= -3

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.  

x=-3

-6x+20+4x=26

-2x+20=26

-2x=6

x=-3

Answer:

Step-by-step explanation:

If Melinda has 4 different crayon and 2 different boxes and she is to put all 4 crayons into the two boxes so that each box has at least 1 crayon, this  can be achieved as follows. Note that at least one crayon must be in each box, this means no box must be left empty. Each box can take any number of crayon from 1 and above.

First box      Second box

1 crayon        3 crayons (first way)

2 crayons     2 crayons (2nd way)

3 crayons     1 crayon (3rd way)

This means that crayons can be divided into each box in 3 different ways provided that each box has at least 1 crayon.

Answer:

[tex]\boxed{Time = 8.33 hrs}[/tex]

Step-by-step explanation:

Given:

Distance = S = 1250 km

Speed = v = 150 km/hr

Required:

Time = t = ?  hrs

Formula:

Speed = Distance / Time

Solution:

Rearranging the formula

=> Time = Distance / Speed

=> Time = 1250/150

=> Time = 8.33 hrs

Answer:

Exact Form:

35

____

18

Decimal Form:

1.94 (repeating bar on 4 only)

Mixed Number Form:

1 and 17 over 18

Step-by-step explanation:

Answer:

The cost of 12 gallons of gas and a quart of oil is 14·x - 30

Step-by-step explanation:

When adding variables, the coefficient of the variables are added followed by multiplication of the sum of the coefficients with variable as follows;

The cost of 12 gallons of gas = 12·x

The cost of a quart of oil is represented by 2·x - 30

Therefore, the cost of 12 gallons of gas and a quart of oil can be represented as follows;

12 gallons of gas and a quart of oil = 12·x + 2·x - 30

Which gives;

The cost of 12 gallons of gas and a quart of oil = 14·x - 30.

Answer:

This is duplicate question

Step-by-step explanation:

https://brainly.com/question/8713027

link is here for answer

The equation is x+15=3(x-5)

He is 15.

Answer:

hope it will help uh.....

Answer:

166cm^2

Step-by-step explanation:

To calculate the area of the composite shape, find the area of rectangle and subtract the area of the triangle from it:

Area of rectangle =  16 x 11 = 176cm^2

Area of triangle = 1/2 x 4 x 5 = 10cm^2.

Since the shape is a rectangle, which the supposed shape of a triangle removed, subtract the area of triangle from that of rectangle:

176-10 = 166cm^2

Hope this helps

Good Luck

Please mark brainiest

Answer: 36 miles

Step-by-step explanation: Multiply 12 by 3 to find out how many miles a person will walk in an hour.

12 miles = 20 minutes

12 x 3 = 36

36 minutes in 1 hour

Answer:

36 miles

Step-by-step explanation:

convert the one hour into minutes, which will be 60 minutes.

if 12 miles = 20 minutes,......................... what about 60 minutes.

     ??        =  60 minutes.

cross multiply:

it will become; 12 ×60 ÷20

= 36 miles

Answer:

a. HL

Step-by-step explanation:

ΔRED ≅ ΔTAN by HL Postulate of congruen.

The triangles are congruent by SAS postulates. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

From the figure, we have

DR = NT (given)

RE = TA (given)

∠E = ∠A = 90°

Then the triangles are congruent by SAS postulates.

Then the correct option is C.

More about the triangle link is given below.

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Answer:

Rational numbers:

Any terminating decimal is a rational number.

0.151

0.152

Irrational numbers:

Pi is irrational, so when pi is divided by a rational number, the result is irrational.

pi/20.8 = 0.151038108...

pi/20.7 = 0.151767761...

Answer:

x=62

Step-by-step explanation:

In an isosceles triangle opposite sides are equal and sum of the sides is 180 degree

So, if we name them 'angle a', 'angle b' and 'angle c'

angle a= 56

a+b+c= 180

using the isosceles triangle formula b=c,

56+b+c=180

name b,c as x

56+2x=180

2x= 180-56

2x= 124

x=62

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PLEASE MARK IT THE BRAINLIEST!

The value of x in the triangle will be 62°

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two sides of triangle = 6

So, This is an isosceles triangle.

Third side of a triangle = 5.7

Now,

Since, The given triangle is an isosceles triangle.

So, It has measure of two angles = x°

And, The measure of third angle = 56°

Since, The sum of all angles of a triangle = 180°

Substitute all the value of angles, we get;

x° + x° + 56° = 180°

Solve for x as;

2x + 56 = 180

Subtract 56 both side,

2x + 56 - 56 = 180 - 56

2x = 124

Divide by 2, we get;

x = 62°

Thus, The value of x in the triangle will be 62°

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Answer:

0.109589 millimeters per day.

Step-by-step explanation:

10 mm = 1 cm

4 cm = 4 × 10

       = 40 mm

365 days = 1 year

rate to millimeters per day = 40 mm in 365 days

                                           = 40/365  mm/day

                                            = 8/73 mm/day

                                      or    = 0.109589 mm/day.

Rate to millimeters per day = 0.109589 millimeters per day.

Step-by-step explanation:

the first question is the first answer 4cm/1 years x 10mm/1cm x 1 year/ 365 days

the second question is the third answer 100 inches/1 minute x 1 foot/ 12 inches

Answer:

246.979 ft

Step-by-step explanation:

When we draw our picture, we should be able to see that the angle of depression from the point of view is equal to the angle of elevation from the ground. We also know the height, and we are trying to find horizontal x. We must use tan∅ to solve:

tan39° = 200/x

xtan39° = 200

x = 200/tan39°

x = 246.979

Answer:

14 months and 1/3 of a month

Step-by-step explanation:

We can find how many months it will take by dividing the cost by the amount she puts away each month:

2150/150 = 14.33

So, it will take her 14 and 1/3 of a month

Answer:

A. cos y°= r/q

Step-by-step explanation:

Problem: If sin y = 7/q and tan y = 7/r, what is the value of cos y?

A. cos y°= r/q B. cos y° = 7r C. cos y° = 7q D. cos y°= q/r

Answer:

sin y = opp/hyp = 7/q

tan y = opp/adj = 7/r

opp = 7; hyp = q; adj = r

cos y = adj/hyp = r/q

Answer: A. cos y°= r/q

Answer:

cos y = r/q

Step-by-step explanation:

Hey! took the test got it right decided to put it here have a good day!

Answer:

20 cm

Step-by-step explanation:

64/3.2 km = 20cm