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slega [8]
2 years ago
9

The family size bottle of sunscreen holds 12 fluid ounces. The regular bottle holds 75% percent less. How many fewer fluid ounce

s does the regular bottle of sunscreen hold?

Mathematics
1 answer:
Lesechka [4]2 years ago
8 0

Answer: 3 fluid ounces.

Step-by-step explanation:

set up a proportion and solve. (: see work for details!! Let me know if it does/does not makes sense (:

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100 POINTS!!!! PLZ HELP ME, I AM AN IDIOT!
timama [110]

Answer and Step-by-step explanation:

<u>For question A) </u>

ABC is similar to PQR because of the AA similarity postulate. This postulate states that <u>if any two angles in a triangle are congruent to the other two angles in a triangle, then the triangles are similar. </u>

<u>For question B) </u>

The area would be k times more than the area of ABC.

The area of a triangle is bh/2, or base times height, divided by 2.

And since they both have 4, the one with the k will be k times greater.

Hopefully this helps!!

#teamtrees #WAP (Water And Plant)

7 0
2 years ago
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{( x, y) : x - y = 8}
guapka [62]

Answer:

x=9

y=1

Step-by-step explanation:

9-1=8

6 0
2 years ago
Please help. no links. need answers for all questions :))
Bess [88]

Answer:

1. The surface area of the cube is 324 square units

The volume of the cube 360 unit cube

2. The surface area of the cylinder is approximately 169.65 square units

The volume of the cylinder is approximately 169.65 unit cube

3. The surface area of a square pyramid is 360 square units

The volume of the square pyramid is 400 unit cube

4. The surface area of a cone is approximately 452.39 square units

The volume of the cone is approximately 50.27 unit cube

5. The surface area of the triangular prism is 240 square units

The volume of the triangular prism is 180 unit cube

6. The surface area of the sphere is approximately 804.25 square units

The volume of the sphere is approximately 2.144.66

7. The surface area of the composite figure is approximately 653.46 square units

The volume of the composite figure is approximately 1,474.45 unit cube

Step-by-step explanation:

1. The surface area of the figure, SA = 2 × (w·h + l·w + h·l)

Where;

w = The width of the figure = 6

l = The length of the figure = 12

h = The height of the figure = 5

We get;

SA = 2 × (6 × 5 + 12 × 6 + 5 × 12) = 324

The surface area of the figure, SA = 324

The volume of the figure, V = l × w × h

∴ V = 12 × 6 × 5 = 360

The volume of the figure, V = 360

2. The surface area of a cylinder, SA = 2·π·r² + 2·π·r·h

The radius of the given cylinder, r = 3

The height of the given cylinder, h = 6

∴ SA = 2×π×3² + 2×π×3×6 ≈ 169.65

The surface area of the cylinder, SA ≈ 169.65

The volume of a cylinder, V = π·r²·h

∴ V = π×3²×6 ≈ 169.65

The volume of the cylinder, V ≈ 169.65

3. The surface area of a square pyramid, SA = b² + 4·(1/2)·b·√((b/2)² + h²)

Therefore, for the given square pyramid, we have;

SA = 10² + 4×(1/2)×10×√((10/2)² + 12²) = 360

The surface area of a square pyramid, SA = 360

The volume of a square pyramid, V = (1/3) × Area of Base × Height

Therefore, or the given pyramid we have;

V = (1/3) × 10² × 12 = 400

The volume of the square pyramid, V = 400

4. The surface area of a cone, SA = π·r·(r + l)

Where;

The radius of the cone = r

The slant height of the cone, l = 10

The height of the cone, h = 6

∴ The radius of the cone, r = √(10² - 6²) = 8

∴ SA = π×8×(8 + 10) ≈ 452.39

The surface area of a cone, SA ≈ 452.39

The volume of the cone, V = (1/3) × π·r·h

∴ V = (1/3) × π × 8 × 6 ≈ 50.27

The volume of the cone, V ≈ 50.27

5. The surface area of the triangular prism, SA = 2 × (1/2)× b·h + b·w + h·w + w·l

Where;

b = The base length of the triangular surfaces = 5

h = The height of the triangular surfaces = 12

w = The width of the triangular prism = 6

l = The slant length of the prism = 13

Therefore;

SA = 2 × (1/2)× 5 × 12 + 5 × 6 + 12 × 6 + 6 × 13 = 240

The surface area of the triangular prism, SA = 240

The volume of a triangular prism, V = (1/2)·b·h·w

V = (1/2) × 5 × 12 × 6 = 180

The volume of the triangular prism, V = 180

6. The surface of a sphere, SA = 4·π·r²

Where;

r = The radius of the sphere = 8

∴ SA = 4 × π × 8² ≈ 804.25

The surface area of the sphere, SA ≈ 804.25

The volume of a sphere, V = (4/3)·π·r³

∴ V ≈ (4/3)×π×8³ ≈ 2,144.66

The volume of the given sphere, V ≈ 2.144.66

7. The figure is a composite figure made up of a cone and an hemispher

The surface area of the cone shaped part of the figure, SA = π·r·l

Where;

r = The radius of the cone = 8

l = The slant height of the cone = 10

∴ SA₁ = π × 8 × 10 ≈ 251.34

The surface area of the cone shaped part of the figure, SA₁ ≈ 251.34

The volume of the cone, V₁ = (1/3)·π·r²·h

Where;

h = The height of the cone = √(10² - 8²) = 6

∴ V₁ = (1/3) × π × 8² × 6 ≈ 402.12

The volume of the cone, V₁ ≈ 402.12

The surface area of the hemisphere, SA₂ = 2·π·r²

∴ SA₂ = 2 × π × 8² ≈ 402.12

The surface area of the hemisphere, SA₂ ≈ 402.12

The volume of a hemisphere, V₂ = (2/3)·π·r³

∴ V₂ = (2/3) × π × 8³ ≈ 1072.33

The volume of a hemisphere, V₂ ≈ 1,072.33

The surface area of the composite figure, SA = SA₁ + SA₂

∴ SA = 251.34 + 402.12 = 653.46

The surface area of the composite figure, SA ≈ 653.46

The volume of the composite figure, V = V₁ + V₂

∴ V = 402.12 + 1,072.33 = 1,474.45

The volume of the composite figure, V ≈ 1,474.45.

8 0
2 years ago
PLS HELP ASAP!! WILL MARK BRAINLYIST
lawyer [7]

Answer:

$13.85

Step-by-step explanation:

If the textbook decreases by 11% per year, this means it will be 89% of the previous year's value since 100% - 11% = 89%

89% in decimal form = 89/100 = 0.89

Therefore, the exponential function is:

y = 63 \cdot 0.89^x, where x is the number of years

So when x=13,  

y = 63 \cdot 0.89^{13}=13.84875..=13.85

3 0
1 year ago
Write the function for the graph.
artcher [175]

Answer:

f(x) =3 * (4)^x

Step-by-step explanation:

Given

(x_1, y_1) = (1,12)

(x_2, y_2) = (0,3)

Required

The function of the graph (exponential function)

An exponential function is represented as:

f(x) = ab^x

For (x_1, y_1) = (1,12), we have:

12 = a * b^1

12 = a * b

12 = a b

For (x_2, y_2) = (0,3)

3 = a * b^0

3 = a * 1

3 = a

a = 3

Substitute: a = 3 in 12 = a b

12 = 3 * b

Divide both sides by 3

4 = b

b =4

So, we have:

f(x) = ab^x

f(x) =3 * (4)^x

3 0
1 year ago
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