Answers
12) for h=√(10²-6²)=8
then
[tex] \frac{x-6}{8} = \frac{8}{6}; \ =\ \textgreater \ \ x= \frac{50}{3} [/tex]
14) 6:11 as x:10. It means that
[tex] \frac{6}{11} = \frac{x}{10}; \ =\ \textgreater \ \ x=6*10/11= \frac{60}{11} [/tex]
Related Questions
A rectangular prism has a length of 312 inches, a width of 5 inches, and a height of 112 inches. What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal.
Answers
Answer:
The volume of the prism in the decimal form is 26.25 inches³ and [tex]26 \frac{1}{4}\ inches^{3}[/tex]
Step-by-step explanation:
Formula
Volume of a rectangular prism = Length × Breadth × Height
As given
A rectangular prism has a length of [tex]3 \frac{1}{2}[/tex]inches, a width of 5 inches, and a height of [tex]1 \frac{1}{2}[/tex] inches.
i.e
A rectangular prism has a length of [tex]\frac{7}{2}[/tex]inches, a width of 5 inches, and a height of [tex]\frac{3}{2}[/tex] inches.
[tex]Volume\ of\ a\ rectangular\ prism = \frac{7}{2}\times 5\times \frac{3}{2}[/tex]
[tex]Volume\ of\ a\ rectangular\ prism = \frac{7\times 5\times\times 3}{2\times 2}[/tex]
[tex]Volume\ of\ a\ rectangular\ prism = \frac{105}{4}[/tex]
In mixed number
[tex]Volume\ of\ a\ rectangular\ prism =26 \frac{1}{4}\ inches^{3}[/tex]
In decimal form
[tex]Volume\ of\ a\ rectangular\ prism = 26.25\ inches^{3}[/tex]
Therefore the volume of the prism in the decimal form is 26.25 inches³ and [tex]26 \frac{1}{4}\ inches^{3}[/tex]
Answer: [tex]26\dfrac{1}{4}\text{ inches}^3[/tex]
Step-by-step explanation:
Given : In a rectangular prism , length = [tex]3\dfrac{1}{2}\text{ inches}[/tex]
[tex]=\dfrac{3(2)+1}{2}=\dfrac{7}{2}\text{ inches}[/tex]
width = 5 inches
height= [tex]1\dfrac{1}{2}\text{ inches}=\dfrac{3}{2}\text{ inches}[/tex]
Now, the volume of the prism will be :-
[tex]V= l\times w\times h\\\\=\dfrac{7}{2}\times5\times\dfrac{3}{2 }\text{ inches}^3\\\\=\dfrac{105}{4}\text{ inches}^3\\\\=26\dfrac{1}{4}\text{ inches}^3[/tex]
Hence, the volume of the prism [tex]=26\dfrac{1}{4}\text{ inches}^3[/tex]
The minimum size of a photo book ordered through a website is 6 pages. The website charges $1.70 per page for the first 6 pages. Any additional pages increase the cost of the photo book by $0.90 per page. If x represents the number of additional pages in a photo book order, which equation can be used to find the total cost, in dollars, of a photo book ordered through the website?
Answers
Explain how you would solve a triangles given two sides and the included angle?
Answers
To solve a triangle given two sides and included angle, use the law of cosines. This law is expressed as a² = b² + c² - 2bc cos(A), where a, b, c are the lengths of the sides, and A is the included angle.
Explanation:To solve a triangle given two sides and the included angle, you would use the Law of Cosines. This law is used when you're given two sides and the included angle in a triangle (often abbreviated as SAS). The law states,
a² = b² + c² - 2bc cos(A)
where a, b, and c are the lengths of the sides of the triangle, and A is the included angle. So, in this case, if you're given sides b and c and included angle A, you would substitute these values into the formula to find side a.
For instance, if side b is 3 units, side c is 4 units, and angle A is 60 degrees, we would substitute these values into our formula like so: a² = 3² + 4² - 2(3)(4) cos(60).
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The correct way to solve a triangles given two sides and the included angle is by the sine and cosine rule.
Solving triangles using the sine and cosine ruleFor angle placed in between two sides of a triangle, we can use the cosine rule to determine the unknown angle
According to the cosine formula, we will have:
[tex]a^2=b^2+c^2-2bc \ cos\theta[/tex]
where a, and c are the sides of the triangle and theta is the central angle.
Also, the remaining angles can be determined using the law of cosines as shown:
a/sinA = b/sinB = c/sinC
Hence the correct way to solve a triangles given two sides and the included angle is by the sine and cosine rule.
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Find the median to the base of an isosceles triangle if the length of its base is 15 in and its area is 75 in2
Answers
we know that
the median to the base is the segment BD
the base AC is 15 in
Area=75 in²
Area=AC*BD/2---------> BD=(Area*2)/AC---------> BD=(75*2)/15
BD=10 in
the answer is BD=10 in
With 128,134,140,146,152,whats the next number If the pattern continues?
Answers
Four family members compared their ages. Terell is 3 years younger than Danny. Danny is 1 year younger that Pablo. Pablo's age is 1/3 Shaniqua age. How old is Terell if shaniqua is 36 years old?
Answers
solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and
x + 7y = 8
Answers
To solve this system by substitution, first isolate x in the second equation.
[tex]x+7y=8[/tex]
[tex]x+7y-7y=8-7y[/tex]
[tex]x=8-7y[/tex]
Now, plug this expression ([tex]8-7y[/tex]) for x in the top equation to solve for y.
[tex] \frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14} [/tex]
[tex]3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24} [/tex]
[tex]72-63y+8y=17[/tex]
[tex]72-55y=17[/tex]
[tex]-55y=17-72[/tex]
[tex]-55y=-55[/tex]
[tex]y=1[/tex]
Now that you have y, plug it into the second equation and solve for x.
[tex]x+7y=8[/tex]
[tex]x+7(1)=8[/tex]
[tex]x+7=8[/tex]
[tex]x=1[/tex]
Last step is to plug your x- and y-values in to both equations to check your work.
[tex] \frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24} [/tex]
[tex] \frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24} [/tex]
[tex] \frac{9}{24} + \frac{8}{24} = \frac{17}{24} [/tex] <--True
[tex]1+7(1)=8[/tex]
[tex]1+7=8[/tex] <--True
Answer:
[tex]x=1 \\ y=1[/tex]
Answer:
1,1
Step-by-step explanation:
Correct:)
Which of the following describes the graph of the transformed function compared with the parent function? Select all that apply.
Answers
The factor of 0.4 means it is compressed (since the factor is < 1).
Since the term inside the radical is x - 2, this means that we translate the graph 2 units to the right.
So the only correct descriptions are: compressed by a factor of 0.4, and translated 2 units to the right.
Answer: a,c,d
Step-by-step explanation: got it right on edge :)
Ronald Fast Food randomly selected 20\%20%20, percent of locations and asked the manager about the most popular meat. Of the locations surveyed, beef is the most popular meat at 444 locations.
Based on the data, what is the most reasonable estimate of the number of Ronald Fast Food locations where the most popular meat is beef?
Answers
Hope this helped☺☺
5n + 3 = 2(n + 2) + 3n
N= ???
-Show All Work!-
Answers
5n + 3 = 2(n + 2) + 3n
Reorder the terms:
3 + 5n = 2(n + 2) + 3n
Reorder the terms:
3 + 5n = 2(2 + n) + 3n
3 + 5n = (2 * 2 + n * 2) + 3n
3 + 5n = (4 + 2n) + 3n
Combine like terms: 2n + 3n = 5n
3 + 5n = 4 + 5n
Add '-5n' to each side of the equation.
3 + 5n + -5n = 4 + 5n + -5n
Combine like terms: 5n + -5n = 0
3 + 0 = 4 + 5n + -5n
3 = 4 + 5n + -5n
Combine like terms: 5n + -5n = 0
3 = 4 + 0
3 = 4
Solving
3 = 4
The left and right sides are not equal, therefore there is no solution.
In the diagram, what is the value of x?
Answers
x is a supplementary angle to the angle labelled as measuring 82° (that is, the sum of x and 82° is 180°) because together, they make a straight line.
Mathematically,
x + 82° = 180°
x = 180° - 82°
x = 98°
Suppose 6000 is placed in an account that pays 3% interest compounded each year. Assumed that no withdrawals are made from the account .
Find the amount at the end of one year ?
Find the amount in the account at the end of two year .
Answers
Find the amount in the account at the end of two year. $6365.4
Final answer:
With a principal amount of $6000 and a 3% annual interest rate compounded yearly, the account balance at the end of one year will be $6180, and at the end of two years, it will be $6365.40.
Explanation:
To calculate the amount of money in an account with compounded interest, we can use the formula [tex]A = P(1 + r/n)^{(nt)[/tex], where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate (decimal), n is the number of times the interest is compounded per year, and t is the time the money is invested for in years.
For the student's case, with $6000 placed in an account at 3% interest compounded each year with no withdrawals:
To find the amount at the end of one year, we calculate it as [tex]A = 6000(1 + 0.03/1)^{(1\times 1)[/tex], which equals $6000 × 1.03 = $6180.To find the amount at the end of two years, [tex]A = 6000(1 + 0.03/1)^{(1\times 2)[/tex], giving us $6000 × 1.03² = $6365.40.As such, after one year, the student would have $6180, and after two years, the balance would be $6365.40.
A student's cell phone plan has a monthly charge of $40 for 600 minutes of use and a $0.25/minute charge for each additional minute. Last month, the student talked on the phone for 790 minutes. Which of the following is the bill for the month?
Answers
We have to find the bill for this month.
Since, the student talked on phone for 790 minutes.
600 minutes are provided in a monthly charge of $40 and the remaining minutes are charged $0.25/minute.
So, 790 - 600 =190 minutes.
So, 190 minutes are minutes at $0.25/minute.
So, Cost applied on 190 minutes = [tex] 190 \times \$ 0.25 [/tex]
= 47.50
So, Total bill for 790 minutes =
Cost for 600 minutes + Cost for 190 minutes
= $40 + $47.50
= $87.50
So, the bill for the month is $87.50
A science teacher needs up to 15 female and male students for a competition. The science teacher needs at least 6 male volunteers. Let x represent the number of male volunteers and y represent the number of female volunteers. Which inequalities model the situation? Select each correct answer.
a. x+y≤15
b. y≥0
c. x+y<15
d. x>6
e. x≥6
Answers
Use technology or a z-score table to answer the question.
The number of huckleberries picked during a huckleberry contest are normally distributed with a mean of 300 and a standard deviation of 53. Jill picked 276 huckleberries in the contest.
What percent of huckleberry pickers picked less than Jill?
Round your answer to the nearest whole number.
Answers
z=(x-μ)/σ
where:
μ is the mean
σ is the standard deviation
from the question:
x=276
μ=300
σ=53
substituting the value in our formula we get:
z=(276-300)/53
z=-0.453
the probability associated with this z-score is 0.3264~32.64%
thus the percentage pickers that picked less than Jill is 32.64%~33%
Answer:
33%
Step-by-step explanation:
33%
Colleen has a bank account balance of $16.43. Toby has a bank account balance of –$10.21. Yosef has a bank account balance of $8.98. Which of the following statements are true?
Select all that apply.
A.
Colleen has the most money in her bank account.
B.
Toby has more money than Colleen.
C.
Yosef has less money than Toby.
D.
Toby's balance is further from zero dollars than Yosef's balance.
E.
Colleen's balance is further from zero dollars than Toby's balance.
Answers
Option A and option E are true, Colleen has the most money in her bank account and Colleen's balance is further from zero dollars than Toby's balance.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Colleen has a bank account balance of $16.43.
Toby has a bank account balance of –$10.21.
Yosef has a bank account balance of $8.98.
Colleen has the most money in her bank account is true because $16.43 is greater than $8.98.
So the statement in A is true.
Colleen's balance is further from zero dollars than Toby's balance is also true.
Toby has more money than Colleen is false.
Yosef has less money than Toby is uncertain.
Hence, Option A and option E are true, Colleen has the most money in her bank account and Colleen's balance is further from zero dollars than Toby's balance.
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What is the volume of the pyramid?
Answers
B is the area of base length.
V=1/3(121)(12)
V=484 cm^2
[tex]\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh\quad \begin{cases} B=\textit{area of its base}\\ h=height\\ ---------\\ B=\stackrel{11\times 11}{121}\\ h=12 \end{cases}\implies V=\cfrac{(121)(12)}{3}[/tex]
Javier's family bought 3 juices at Bagel Mania. Which of these could NOT be the amount of money Javier's family spent of juices
Juices ___ small $0.75
Large $1.25
A. $2.25
B. $2.75
C. $3.25
D $3.50
Answers
1.25*3=3.75
0.75*3=2.25
(1.25*52)+0.75=3.25
(0.75*2)+1.25=2.75.
The only choice that isn't here is 3.50.
That means d. is the answer.
Hope this helped☺☺
Johan takes out a 20-year mortgage at 4% to buy a house. When he looks at investing in 20-year, fixed-rate Treasuries, which of the following rates is most likely closest to the coupons on the Treasuries? Select the best answer from the choices provided. 2.2% 7.8% 3.9% 9.2%
Answers
Answer:
3.9%
Step-by-step explanation:
Investing in treasuries is often seeing as a risk free investment since it is sure that they will pay, but the rates are too low, when banks and other finnance corporations set up their mortages and other kinds of large loans interests rates they set them up higher than the fixed rate treasuries since otherwise it´d just be a better deal to put that money on treasuries than lending it to people.
10 POINTS
Solve the combined inequality:
6 -2x < 12 or 7 + 2x < -11
Answers
We have then:
Inequality 1:
6 -2x <12
6-12 <2x
-6 <2x
-6/2 <x
-3 <x
Inequality 2:
7 + 2x <-11
2x <-11-7
2x <-18
x <-18/2
x <-9
Answer:
(-inf, -9) U (-3, inf)
Find the cosine and the tangent of 60 degrees
Answers
thus:
tan θ=opposite /adjacent
opposite= √3
adjacent=1
hence:
tan 60=√3/1=√3
cos θ=adjacent/ hypotenuse
adjacent=1
hypotenuse=2
thus
cos 60=1/2
Answer:
D!!!
Step-by-step explanation:
What is the volume of this rectangular prism? Rectangular prism with height labeled 3 centimeters, width labeled 5 centimeters, and length labeled 6 centimeters. cm³
Answers
so 5x6x3=90
So theolume is 90.
52÷2 what is the answer to this math
Answers
Brainliest? I am trying to get a higher rank!
Find the value of x so that this quadrilateral is a parrallelogram
Answers
Since this is a parallelogram, the 2 angles with the equations are congruent. Make them equal each other. 2x+60=4x-12. You get 72=2x. Divide by 2 on each side to get x=36. The answer is x=36.
I hope this helps!
PLEASE HELP WILL GIVE BRAINLIEST ******* Lucy made tables of values to approximate the solution to a system of equations.
Answers
Answer:(1.6,1.3)
Step-by-step explanation:
Ratio Question solving with algebra need help must finish soon
Answers
Note, that the answers are marked by green colour.
Jeremy 7 years older than Esmeralda in 3 years the sum of their ages will be 57 how old is Jeremy now
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J = Jeremy's age
E = Esmeralda's age
Next, create your equations.
J = E + 7
J + 3 + E + 3 = 57 which simplifies to J + E = 51
Now because J is defined in terms of E, substitute E as J into the second equation. E + 7 + E = 51
Next, 2E = 44
E = 22
Now, substitute the value of E into the original equation to find J. J = E + 7. J = 22 + 7. J = 29
Next check by substituting into the second equation. J + E = 51. 22 + 29 = 51.
Jeremy's age: 29
Esmeralda's: 22
CAN I GET THE RIGHT ANSWER TO THIS??
Answers
A secant is a line that has two different intersecting points with a circle
What is the correct expression of 34,000 x 96,000 using scientific notation?
Answers
For this case we have the following product:
[tex] 34000 * 96000
[/tex]
We can rewrite both numbers using scientific notation.
We have then:
[tex] (3,4 * 10 ^ 4) * (9,6 * 10 ^ 4)
[/tex]
Then, we can rewrite the expression as follows:
[tex] (3,4 * 9,6) * (10 ^ 4 * 10 ^ 4)
[/tex]
Same basis, the exponents are added:
[tex] (3,4 * 9,6) * 10 ^ 8
[/tex]
Multiplying the expression within the parenthesis we have:
[tex] (32.64) * 10 ^ 8
[/tex]
Rewriting the left term as scientific notation we have:
[tex] (3,264 * 10 ^ 1) * 10 ^ 8
[/tex]
Finally we have:
[tex] 3,264 * 10 ^ 9 [/tex]
Answer:
the correct expression of 34,000 x 96,000 using scientific notation is:
[tex] 3,264 * 10 ^ 9 [/tex]
What is the diameter of a circle with a circumference of 176 feet use for 22 over for pie
Answers
Formula for Radius: R= C/2(pi)
R= 176/2(22/7)
R=28.01
2(28.01)=56.02
Answer= 56.02