Answer:
≈ 31.657 ft
Step-by-step explanation:
I'm not sure if I interpreted this problem correctly, but:
We are given an AAS triangle, so we should use the Law of Cosines:
[tex]\frac{cos(x)}{x}=\frac{cos(y)}{y}[/tex]
Looking at the problem, I believe that it should be set up like this:
[tex]\frac{cos(66)}{25}=\frac{cos(59)}{y}[/tex]
Which we can solve for y:
[tex]y=\frac{25cos(59)}{cos(66)}=31.657 ft[/tex]
40% of 120 is what number?
Question 1 options:
A: 48
B: 3
C: 4,800
Answer:
48
Step-by-step explanation:
40% of 120
40 x 120 = 4800 / 100 = 48
100
Answer:
A- 48
Step-by-step explanation:
You divide your percentage by 100. So, 40% would be 40 divided by 100 or . 40. Once you have the decimal version of your percentage, simply multiply it by the given number.
mrs. washington's class has x student. Three-fourths of these students like pizza.If 21 students in the class like pizza, which equation can be solved to determine the number of students in the class?
A. 21x = 3/4
B. 21x = 4/3
C. 4/3x = 21
D.3/4x = 21
Please help. Cesium-137 has a half-life of 30 years. Identify the amount of cesium-137 left from 150 milligram sample after 120 years.
1.325 mg
0.9375 mg
9.3750 mg
1.097 mg
Answer:
1.325 mg
have a good day :)
Answer:
9.3750 mg
Step-by-step explanation:
3y=4.8 (I'm so confused it isn't even funny)
Answer:
y = 1.6
Step-by-step explanation:
4.8/3=1.6
3*1.6=4.8
Answer:
[tex]y = 1.6[/tex]
Step-by-step explanation:
[tex]3y = 4.8[/tex]
Use inverse operations to solve this problem. Inverse operations is a method of solving a linear (and in some cases quadratic) equation. This method has one do the same operations to both sides such that it cancels out the operations done to the variable, and hence, it leaves one with the solution.
In this case, all one has to do is divide both sides by the coefficient of the varibale (y).
[tex]3y = 4.8[/tex]
÷[tex]3[/tex]
[tex]y = 1.6[/tex]
MP1 18. Allen has 13 carrots. He wants to put an equal amount of carrots into
5 sandwich sized bags. How much should Allen put into each bag?
Show your work.
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.
A worker spent 3/4 of his monthly salary on food and 1/2 of the remainder on rent if he has 1500 left how much does he earn in a month
Answer:
$4000
Step-by-step explanation:
1500 × 2 =3000
3000 × ³/4 = 4000
While in Manchester, England, Jaslene bought a sweater for £28(GBP). When she returned,
she saw the same sweater for $38CAD. Which sweater cost more? By how much in Canadian
dollars?
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:
The ___________ are located on the chromosomes of a cell and contain information about traits.
A) Genes
B) Ribosomes
Help ASAP! Question 12 points)
05.02 MC
The angles below are supplementary. What is the value of x? (5 points)
5
7.5
15
30
Answer:
D
Step-by-step explanation:
supplementary means two angles that there sum will be 180. and 30 x 4 = 120 + 20 = 140 and if you add the other angle 40 that's 180.
The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters. What is the volume of the pyramid in cubic centimeters.
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.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ2
The record time for the girls' 50-meter free style swimming competition is 24.49 seconds. Camilla has been training and wants to swim the 50-meter free style in less time. What are some possible times Camilla would have to swim to break the current record? Solve this problem any way you choose.
Answer:
[tex]x < 24.49[/tex]
Step-by-step explanation:
Given
[tex]Record = 24.49[/tex]
Required
Possible time to break the record
Since no option is given to select from. I will answer the question using inequalities
For her to break the record, she must swim at a time less than 24.49.
i.e. 24.48, 24.00, 23, 22.50, etc...
Represent the time with x.
So, the inequality is:
[tex]x < 24.49[/tex]
WILL MARK BRAINLIEST
I need help with this question
Answer:
f(x)= -10cos(3x)+10
Step-by-step explanation:
I hope this is right !
can someone pls help it’s rate of change and i only need to do all of the evens. it’s due in an hour
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:
79.2 is what percent of 110?
Answer:
72
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:79.2 divided by 110 = 0.75. move the decimal two places and you get 75.
Someone please help me ASAP
Answer:
[tex]-\frac{3}{4\\}[/tex]
Step-by-step explanation:
A student is solving -5+2x=15 find the students mistake and correct it
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.
What is simplification?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:
https://brainly.com/question/12501526
#SPJ5
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.
a supermarket has 129 crates of apples each crate holds 125 how many apples does the supermarket have
How many terms are in the given expression?
52 + Zn - 2f
Answer:
3
Step-by-step explanation:
Answer:
3 terms are given
Step-by-step explanation:
Someone plz help me with this
Answer:
1. (5,2)
2. (8,10)
3. (6, -10)
4. (-4, -8)
5. (-10, 0)
6.(-8,7)
7. (-6,-9)
8.(9,-6)
9. (5,-6)
10.(6,-6)
Madelyn bought 12 5/8 yards of fabric. She used 6 7/8 yards of the fabric for a costume. How much fabric did Madelyn have left?
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]
8/3 = 3 (c + 5/3) how to solve step by step
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
Which of the following represents the area of the shaded region in the figure above?
∫dcf(y)dy
the integral from c to d of f y d y
A
∫ba(d−f(x))dx
the integral from A to b of open paren d minus f of x close paren, dx
B
f′(b)−f′(a)
f prime times b minus f prime times A
C
(b−a)[f(b)−f(a)]
open paren b minus A close paren times open bracket f of b minus f of A close bracket
D
(d−c)[f(b)−f(a)]
It's B isn't it? If this is the question I'm thinking of. No image here so I'm just guessing.
Today only, a table is being sold at a 32% discount. The sale price is $357.
What was the price yesterday?
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!
PLEASE HELP!!!!!!!!!!!! VOLUME OF A CONE!!!!!!
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
please help work this out
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
how many terms are in the following?
5x-7+8k+2x+k
Answer: 5
Step-by-step explanation:
Terms are single numbers, variables, or the product of a number and variable.
The population of the town increased from 175000 to 262500 in a decade. What is the average percent increase of population per year?
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%
do you guys think my body is good for summer?
Answer: YES girl you should be proud
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
body crazy curvy wavy
A jogger ran 6 miles due east of his house. Then he ran 4 miles at a heading of 30o East of North (or 30o NE). How far is he from his house after running 10 miles?
Answer:8
Step-by-step explanation:
Answer: square root of 76
Step-by-step explanation:
6^(2)+4^(2)-2*6*4*cos120= 76 and then to simplify you square root it
27 POINTS!!!!!!!!!!!!! PLEASE!!!!
Answer:
Step-by-step explanation: