Mrs. Lia has 11 pounds of modeling clay. She divides the clay into 1 2 - pound blocks. If Mrs. Lia sets aside 7 of the blocks and gives the rest to the students in her art class, how many 1 2 - pound blocks of clay does Mrs. Lia give to her class?

Answer:

The relationship is that if you divide say, 88÷4=22 the relationship is that all of them divided would equal 22.

Hope this helped.

Answer:

30 cubic feet

Step-by-step explanation:

volume of a pyramid is (l*w*h)=3

assuming it is a pyrmaid where l=w=h, volume = x^3/3 = 10

x^3=30

x=30^(1/3)

volume of a cube is l*w*h, with our assumption, that translates to x*x*x

Volume = 30^(1/3)*3 = 30 cubic feet

The volume of the cube, in relation to the given pyramid is: 30 cubic feet.

Relating both volumes, we would have:

Volume of cube = 3(volume of pyramid)

Volume of pyramid is given as 10 cubic feet, therefore:

Volume of the cube = 3(10)

Volume of the cube = 30 cubic feet.

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First, we imagine a right triangle. Second, we are given that the building is 62 feet tall. Since the height of building is vertical straight - that means the height is opposite side of triangle. It also casts a shadow 21 meters long. Shadow should be the adjacent side because it casts on the ground and not on the air.

If we imagine the right triangle + the problem in our head, we'd get the triangle that the opposite side is 62 feet tall and the adjacent side is 21 meters long.

Use the tangent ratio to find the angle of sun shining.

[tex] \large \boxed{ \tan \theta = \frac{opposite}{adjacent} }[/tex]

Substitute adjacent = 21 and opposite = 62 in the ratio.

[tex] \large{tan \theta = \frac{62}{21} }[/tex]

For this part, you might need a calculator or trigonometric table because some values cannot be exactly found.

From the equation, we should get 71.288 which we round the answer to nearest hundreth and the answer would be 71.29

Answer

Answer:

71.29°

Step-by-step explanation:

By question its given that , a 62 feet tall tree cast a shadow of 21 m long. We need to find the angle at which the sun is shining on the building .

For this we gonna imagine a right angle triangle . Where , the length of the shadow will be the base of the triangle and the height of the building will be the perpendicular on the triangle .

Here since we have got perpendicular and base , we can use the ratio of tan . We know that tan is defined as perpendicular by base , that is ,

[tex]\implies tan \theta =\dfrac{perpendicular}{base}[/tex]

Plug in the respective values , we have ,

[tex]\implies tan \theta =\dfrac{62}{21} \\\\\implies\theta = tan^{-1}\bigg( \dfrac{62}{21}\bigg) \\\\\implies \underline{\underline{\theta = 71.29^o }}[/tex]

Hence the required answer is 71.29° .

The area of the room is 147.5 square feet so Michelle's reasoning was incorrect.

Step-by-step explanation:

Step 1:

To calculate the area of the given room, we divide the unknown shape into known shapes.

The room's shape is made of 2 rectangles.

The area of a rectangle is the product of its length and its width.

One rectangle has a length of 10 feet and a width of 12 1/2 feet.

The other rectangle has a length of 15 - 10 = 5 feet and a width of 4 1/2 feet.

Step 2:

The area of the first rectangle = (10)(12 1/2) = (10)(12.5) = 125 square feet.

The area of the second rectangle (10)(4 1/2) = (5)(4.5) = 22.5 square feet.

The total area of the room = 125 + 22.5 = 147.5 square feet.

Answer:

147.5ft²

Step-by-step explanation:

10 × 12¹/₂ = 125

5 × 4¹/₂ = 22¹/₂

Total area = 125 + 22¹/₂

Total area = 147¹/₂ = 147.5

1000m is a required answer.

Answer:

1km=1000metre.

Answer:

the first one is 1.667

Step-by-step explanation:

5/3=1.667

10/6=1.667

and so on

Sorry i dont know the second one

Answer:

c. po dahil Wala po Dian Ang answer

Step-by-step explanation:

sana po makatulong

Answer:

17

Step-by-step explanation:

If Point T is on the line segment S U, then ST + TU = SU

Given;

ST=2

TU = 15

Substitte

SU = ST + TU

SU = 2 + 15

SU = 17

Hence the length of SU is 17

Answer:

1/4, 0.25

Step-by-step explanation:

Answer:

3/11

Step-by-step explanation:

Let Roberto's cards be x.

Let David's cards be y

x = (3/4) y

Roberto gives half his cards away which is 1/2*(3/4) = 3/8

David's new amount after the gift = 1/2(3/4)y + y = 3/8y+y=3y/8+8y/8 = 11y/8

So the ratio is Roberto / David = (3/8) // (11/8)

Roberto to David = 3/8 // 11.8 which you now invert and multiply the denominator

Roberto to David = 3/8 * 8/11 = 3/11

Done on my cell.

Answer:

9,

Step-by-step explanation:

if you look at the pattern its just adding up all the numbers above so its nine

Answer:

2/18 = 1/9

Step-by-step explanation:

She has a total of 18 menus, so that is our denominator. 2 are for Thai food, so that is our numerator.

2/18 = 1/9

Answer:

First use this formula=  V=4/3πr^3

r=radius

Step-by-step explanation:

answer: 2144.66 I think. I might be wrong. Please let me know if I'm wrong.

Answer:

84 degrees

Step-by-step explanation:

The two angles are supplementary (their sum is 180 degrees)

96 + b = 180

b = 180 - 96

b = 84

Answer:

24

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

<1 = 1/2(104-56)

<1 = 1/2(48)

<1 = 24

Answer:

A, you bad the correct answer

Step-by-step explanation:

^

Answer:

I'm confused to.

Step-by-step explanation:

Answer:

4 11/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

5[tex]\frac{5}{6}[/tex] * 4[tex]\frac{1}{2}[/tex]

=5*6+5/6 * 4*2+1/2

=35/6 * 9/2

=35*9/6*2

=315/12

=105/4

=26[tex]\frac{1}{4}[/tex]

Answer:

I looked ot up on calculator and it had said 1.6666666

Answer:

15

Step-by-step explanation:

If you multiply 3 by 5, you have the answer of 15.

Or

X / 3 = 5

Multiply both sides by 3 to clear the fraction.

x=15

The radius of the given circle is 13 unit.

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.

Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".

According to the given question

We have a circle with center Q and two chords AD and BC.

And, AD = 4x + 4 and BC = 6x -6

Since, both the chords are at the same distance from the center of the circle, so their lengths will same.

⇒ AD = BC

⇒ 4x + 4 = 6x -6

⇒ 4 + 6 = 6x -4x

⇒ 10 = 2x

⇒ x = 5

Therefore,

AD = 4x + 4 = 4(5) + 4 = 20 +4 =24

and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24

Also, AP = AD/2 = 24/2 = 12

Now, in right angle triangle QPA we have

[tex]AQ^{2} =QP^{2} +AP^{2}[/tex]     ( By Pythagoras theorem)

⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]

⇒[tex]AQ^{2} = 25 + 144[/tex]

⇒[tex]AQ^{2} = 169[/tex]

⇒[tex]AQ =\sqrt{169}[/tex]

⇒ AQ = 13

Hence, the radius of the given circle is 13 unit.

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Answer:

A. [tex]\frac{2}{8}[/tex]

B. [tex]\frac{6}{6}[/tex]

C. [tex]\frac{8}{4}[/tex]

Step-by-step explanation:

For A pick a fraction that is less than a whole number.

For B pick a fraction that is a whole number.

For C pick a fraction that is greater than a whole number.

Answer:

128

Step-by-step explanation:

set up a proportion of # books sold/hours = # books sold/hours

let 'b' = # books sold

32/2.5 = b/10

cross-multply to get:

2.5b = 320

b = 320/2.5

b = 128

5x=3x+12

5x-3x=12

2x=12

x=6

Answer:

h = 10 bc 4.7 x 10 = 47

f = 36 bc 6 x 36 = 216

g = 3.5 bc 3.5 + 1.6 = 5.1

unlock number equation = f - g x h or 36 - 3.5 x 10

unlock number: 1

Answer:

Unlock number: 1

Step-by-step explanation:

6f = 216

6f/6 = 216/6

f = 36

1.6 + g = 5.1

5.1 - 1.6 = 3.5

g = 3.5

4.7h = 47

4.7h/4.7 = 47/4.7

h = 10

f - g x h

36 - 3.5 x 10

36 - 35

1

Answer:

the answer is A. 0.48 $

Step-by-step explanation:

the price of ounce of the watermelon is :

[tex] \frac{5.76}{12} = 0.48 \: [/tex]

Answer:

The mean score in the maths test for class B was 12.41 points.

Step-by-step explanation:

Given that Class A has 12 pupils and class B has 29 pupils, and both classes sit the same maths test, and the mean score for class A is 52 while the mean score for both classes is 24, to determine what is the mean score in the maths test for class B the following calculation must be performed:

52 x 12 + X x 29 = 24 x (12 + 29)

624 + 29X = 24 x 41

624 + 29X = 984

29X = 984 - 624

X = 360/29

X = 12.41

Therefore, the mean score in the maths test for class B was 12.41 points.

Answer:

Colleen has $300 and Jimmy has $703

Step-by-step explanation:

x=10 weeks

Answer:

Based on a 15 week semester, by the end Jimmy will have accumulated in his savings account $49 more than Colleen

Step-by-step explanation:

Jimmy's Equation: Y = $64 + 25x

Colleen's Equation Y = $120 + 18x

X = # Of Weeks

Y = Total Savings Account

If the average semester is 15 weeks long, then you would plug x = 15

Jimmy:

Y = 64 + 25(15)

Y = $439

Colleen:

Y = 120 + 18(15)

Y = $390