In ΔHIJ, i = 9.2 cm, j = 1.4 cm and ∠H=84°. Find the length of h, to the nearest 10th of a centimeter

Answer:

Put 2.6 carrots in each bag.

Step-by-step explanation:

Just divide the carrots with 5.

13 carrots / 5 sandwhich bags

This then makes 2.6 carrots which is a perfect fit for each bag.

Answer:

[tex]5\frac{3}{4}[/tex]

Step-by-step explanation:

We know that Madelyn bought 12 5/8 of fabric, we then are told she used 6 7/8 of them for a costume followed by asking how much fabric she has left.

Madelyn has 12 5/8 in total

She took away 6 7/8.

To make this easier for us, we can make both fractions improper, which can be done by multiplying the whole number by the denominator and adding the numerator.

[tex]12\frac{5}{8} -6\frac{7}{8}[/tex]

Multiply the whole number by the denominator :

[tex]\frac{5}{96} - \frac{7}{48}[/tex]

Add the numerator and change the denominator back to 8 :

[tex]\frac{101}{8} - \frac{55}{8}[/tex]

Subtract the numerators :

[tex]\frac{101 - 55}{8} = \frac{46}{8}[/tex]

Simplify the fraction to the lowest possible :

[tex]\frac{46/2}{8/2} = \frac{23}{4}[/tex]

Put the improper fraction back into a mixed fraction :

[tex]5\frac{3}{4}[/tex]

Answer:

x = 38.2°

Step-by-step explanation:

sin 27°  =    x°  

    11             15

15 · (sin 27°) = 11 · x°

cross-multiply:

6.81 = 11x

6.81 / 11 = x

x = 0.619

sin^-1 (0.619) = 38.2°

Answer:

volume of cone=424cm³

height(h)=5cm

radius (r)=?

Step-by-step explanation:

we have

volume of cone=1/3(πr²h)

424=1/3(22/7×r²×5)

424×3=15.71r²

r²=1272/15.71

r=√80.9=8.9=9cm

Answer:

300

Step-by-step explanation:

125/2.5=50

50 x 6=300

Joseph will be able to drive 300 miles in 6 hours

hope this helps!

Answer:

correct students

-5+2x=15

2x=15+5

2x=20(divided by 2 both sides)

x=10

mistake students

-5+2x=15

-3x=15(divided by - 3 both sides)

x=-5

The required simplified value of the given expression is given as x = 10.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
-5 + 2x = 15

Now,
Adding 5 on both sides,
2x = 15 + 5
2x = 20

Divide by 2 into both sides
x = 10

Thus, the required simplified value of the given expression is given as x = 10.

Learn more about simplification here:

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The question is incomplete, the correct solution is given above, to determine the mistake of the student, compare the above solution with the student solution.

Answer:

I might be wrong but Karl misplaced the (5). Karl puth the 5 in the (x) area instead of the y.it had to be (3-5)^2

Hi! Your answer is 125/3 π

Please see an explanation for a clear understanding to the problem.

Any questions about the answer/explanation can be asked through comments! :)

Step-by-step explanation:

For this problem, I'll be demonstrating two methods to solve your problem which are Integration method and Formula method. Let's start with Formula method first!

Formula Method

Volume of Cone Formula

[tex]V=\huge{\frac{1}{3}\pi r^2h}[/tex]

r is a radius. Therefore, r² is a diameter.

h is height of cone.

Our r is 5. Therefore, 5² = 25.

Our h is 5.

Substitute these values in the equation.

[tex]V=\huge{\frac{1}{3}\pi (5)^2(5)}\\V=\huge{\frac{1}{3}\pi (25)(5)} \\V=\huge{\frac{1}{3}\pi (125)}\\V=\huge{\frac{125}{3}\pi}[/tex]

Hence, the volume of a cone is 125/3 pi. If you want in Mixed Number form then It'd be 41 and 2/3 pi [ 41 2/3 pi]

Integration Method - Proof

Let r':r = x:h

Therefore,

[tex]\huge{\frac{r'}{r}=\frac{x}{h}}\\\huge{r'=\frac{x}{h}r[/tex]

r and h both are same (r is still radius while h is still height)

[tex]\huge{S(x)=\pi(r')^2[/tex]

The reason why we add pi because the surface is a circle. If the surface is not a circle, we don't add pi.

[tex]\huge{S(x)=\pi(\frac{x}{h}r)^2}\\\huge{S(x)=\pi(\frac{x^2r^2}{h^2})}\\\huge{S(x)=\frac{\pi r^2}{h^2}x^2}\\[/tex]

The range starts from 0 ≤ x ≤ h

[tex]\huge{V=\int\limits^h_0 {S(x)} \, dx[/tex]

Substitute S(x) in.

[tex]\huge{V=\int\limits^h_0 {\frac{\pi r^2}{h^2}x^2 } \, dx[/tex]

Integrate, separate everything in the integrand out except for x^2

[tex]\huge{V=\frac{\pi r^2}{h^2} \int\limits^h_0 {x^2} \, dx}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}x^3]^h__0}}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}h^3]}\\\huge{V=\pi r^2[\frac{1}{3}h]}\\\huge{V=\frac{1}{3}\pi r^2h}[/tex]

As you notice, Integration method is pretty useful, but it's mostly for an advanced volume lesson only.

Integration Method - Problem Solving

Let r':r = x:h

r is given as 5

h is given as 5 as well.

Therefore, r':5 = x:5

[tex]\huge{\frac{r'}{5}=\frac{x}{5}}\\\huge{r'=\frac{x}{5}(5)}\\r'=x[/tex]

[tex]\huge{S(x)=\pi(r')^2}\\\huge{S(x)=\pi(x^2)}\\\huge{S(x)=\pi x^2}[/tex]

The range of volume starts from surface to height. Therefore the range is 0 ≤ x ≤ 5

[tex]\huge{V=\int\limits^5_0 {S(x)} \, dx }\\\huge{V=\int\limits^5_0 {\pi x^2} \, dx }\\\huge{V=\pi\int\limits^5_0 {x^2} \, dx }\\\huge{V=\pi[\frac{1}{3}x^3]^5__0}}\\\huge{V=\pi[(\frac{1}{3}(5)^3-\frac{1}{3}(0)^3]}\\\huge{V=\pi[(\frac{1}{3}(125)-0)]}\\ \huge{V=\pi[(\frac{1}{3}(125)]}\\\huge{V=\pi(\frac{125}{3})}\\\huge{V=\frac{125}{3}\pi}[/tex]

Notice that both methods have same answer. Hence, we can conclude that the volume of a cone is 125/3 pi units²

Answer:

Chromebook: 0.25 percent per minute

iPhone: 0.5 percent per minute

1) The phone

2) Faster by 0.25 percent per minute, or 1 percent every four minutes

3) The phone

4) 25 percent more

5) The phone

Answer:

r = 1

Step-by-step explanation:

Answer:

Angle x = 38°

Step-by-step explanation:

It is important to note that:

Two angles are called supplementary when their measures add up to 180 degrees.

Angle x and y are supplementary

Angle y = 142°

Hence,

Angle x = 180° - 142°

Angle x = 38°

Answer:

The Manchester, England sweater is more expensive.

27 GBP is equal to 49.52 CAD, which is more than the 38 CAD from the afterwards.

Step-by-step explanation:

It's B isn't it? If this is the question I'm thinking of. No image here so I'm just guessing.

Answer:

1.5 inches. you take 450 and divide it by 300

Answer:

Step-by-step explanation:

theres no information

Answer:

none because there are no numbers there I'll help you when you add the numbers

Step-by-step explanation:

but have a good rest of your day :) ❤

Answer:

Step-by-step explanation:

(1-0.32)p=357

0.68p=357

p=$525

Answer:

471.24

Step-by-step explanation:

First you want to find 32% of 357, which is 114.24. Then you want to add that onto 357. Hope this helps!

Answer:

Step-by-step explanation:

8/3=3(c+5/3)

multiply both sides by 3

8=9(c+5/3)

divide both sides by 9

8/9=c+5/3

subtract 5/3 from both sides

c=8/9-5/3

change 5/3 to 15/9

c=8/9-15/9

c=-7/9

Answer:

3

Step-by-step explanation:

Answer:

3 terms are given

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Terms are single numbers, variables, or the product of a number and variable.

Answer: I wasn't sure if number 18 was 350.00 but that's what I put down to do the problem hope I'm not too late.

9. $72.45

10. $15.52

11. $30.69

12. $48.95

13. $6.39

14. $67.6

15. $18.02

16. $51.6

17. $11.25

18. $175.00

19. $3.20

20. $10.00

21. $31.25

22. $45.90

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

As given,

The population of the town increased from 175000 to 262500 in a decade.

⇒ In 10 years , population increased from 175000 to 262500

⇒% increase = [tex]\frac{262500 - 175000}{175000}[/tex]× 100% = [tex]\frac{87500}{175000}[/tex]×100% = 0.5×100% = 50%

Now,

Average % increase = [tex]\frac{percent increase}{Total years}[/tex] = [tex]\frac{50}{10}[/tex]% = 5%

∴ we get

Average percent increase of population per year = 5%

Answer:

Three perpendicular bisectors are required

Step-by-step explanation:

A perpendicular bisector of a line segment is a line that cuts the line segment at a 90° angle, dividing it into two equal halves.

In this example, one bisector produces two equal parts of the segment

two bisectors produce three segments and three bisectors, four segments as shown in the diagram.

Perpendicular bisectors are constructed using a compass and a pencil, you can check out how to construct one, it is pretty interesting.

Answer:

x = -4

Step-by-step explanation:

Since the slope is undefined, the line is a vertical line.  All vertical lines have an equation x = k.  In your problem k = -4, so the equation of the line is x = -4

Answer: 450 cm³ is the volume

Step-by-step explanation:

Volume of pyramid = L x W x H divide by 3

The required volume of the given square pyramid is 20,250 cubic centimeters.

Given that,
The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters. The volume of the pyramid in cubic centimeters is to be determined.

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the square pyramid is given as,
= 1/2 area of base × height
= 1/2[30×30]×45
= 900 × 45 / 2
= 20,250 cubic centemeters.

Thus, the required volume of the given square pyramid is 20,250 cubic centimeters.

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Answer:

Area=190.091 cm^2

Step-by-step explanation:

Area = 1/2(Pi x r^2)    one-half because it's a semi-circle

Area=1/2(3.14 x 11^2)

11^2=121 so, Area=1/2(3.14 x 121)

Area=1/2(379.94)

Area=189.97 cm^2

adjustment:

Area=1/2(3.142 x 11^2)

Area=1/2(3.142 x 121)

Area=1/2(380.182)

Area=190.091