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3 years ago

Jade is painting a rectangular wall. The wall is 414 yards long and 223 yards high.

Mathematics

2 answers:

lions [1.4K]3 years ago

8 0

Answer:

3 5/7

Step-by-step explanation:

Alla [95]3 years ago

3 0

The area of the wall is 92,322

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A recipe calls for 5/8 cups butter. Angie wants to triple the recipe but she has only 1 1/4 cups of butter

Alisiya [41]

The recipe calls for 5/8 cups butter and Angie wants to triple the recipe.

Therefore, if Angie is tripling the recipe, she is multiplying all of the ingredients in the recipe by 3.

So for the butter, this would be:

5/8 * 3 = 15/8

Next, we should turn this improper fraction into a mixed number so that we can compare it to the amount of butter that Angie has.

15/8 = 1 7/8

1 7/8 > 1 1/4

Thus, Angie DOES NOT have enough butter to triple the recipe.

8 0

2 years ago

Find the length of the curve y = 3/5x^5/3 - 3/4x^1/3 + 6 for 1 < = x < = 8. The length of the curve is . (Type an exact an

Mashutka [201]

Answer:

$\sqrt\frac{387}{20}$

Step-by-step explanation:

$Arc Length =\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^2 } } \, dx$

$y=\dfrac{3}{5}x^{\frac{5}{3}}- \dfrac{3}{4}x^{\frac{1}{3}}+6$

$\frac{dy}{dx} =x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}}$

$1+(\frac{dy}{dx})^2 }=1+(x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}})^2\\=1+(x^{\frac{4}{3}}-\dfrac{1}{2}+ \dfrac{1}{16}x^{-\frac{4}{3}})$

$=\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}}$

For the Interval $1\leq x\leq 8$

Length of the Curve $=\int\limits^8_1 {\sqrt{\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}} } } \, dx\\$

Using T1-Calculator

$=\sqrt\frac{387}{20}$

3 0

3 years ago

Find the slope of the line passing through the points (0,12) and (4,3)

anzhelika [568]

The slope is the change in Y over the change in X:

Slope = (3 -12) / (4-0)

Slope = -9/4

The answer is the 3rd choice.

7 0

3 years ago

If UV = 8x, VW=x+1, and UW=10,what is VW?

jok3333 [9.3K]

Applying the segment addition theorem, the length of line segment VW is: 2 units.

<h3>What is the Segment Addition Theorem?</h3>

The segment addition theorem states that the sum of the lengths of two segments that make up a larger line segment equals the measure of the larger line segment, if the point on the line segments are collinear.

UV = 8x

VW = x+1

UW = 10

UV + VW = UW (segment addition theorem)

Substitute the values

8x + (x + 1) = 10

Open bracket

8x + x + 1 = 10

Combine like terms

9x + 1 = 10

Subtract 1 from both sides

9x + 1 - 1 = 10 - 1

9x = 9

Divide both sides by 9

9x/9 = 9/9

x = 1

VW = 8x + (x + 1)

Plug in the value of x

VW = x + 1

VW = 1 + 1

VW = 2 units.

Therefore, applying the segment addition theorem, the length of line segment VW is: 2 units.

Learn more about the segment addition theorem on:

brainly.com/question/1397818

#SPJ1

7 0

2 years ago

Ok the first question confuses me what is the volume of the prisom show in the top?

Veronika [31]

Split the shape in to two this is the rectangular side.
15+6=21
21×7=147
147×4=588in
square shape
6+6=12
12×12=144
144×4=576in
then add the answers together
588+576=1164in
1164 is how many more inches greater

5 0

3 years ago