Answer:
Step-by-step explanation:
a^2 - 5bc - 1
a = 7
b = 3
c = 2
7^2 - 5*3*2 - 1
49 - 30 - 1
18
The ratio of the measures of the sides of a triangle is 2:11:15. If the perimeter of the triangle is 168 inches, find the length of the longest side.
Answer: 90
Step-by-step explanation:
Let the sides have lengths 2n, 11n, and 15n.
Since the perimeter is 168, 2n+11n+15n=168, meaning that n=6.
So, the longest side is 15(6)=90 inches.
Help me on this question please!
Answer:
1/5
Step-by-step explanation:
Arrange the numbers from smallest to largest...the median is the one in the middle of the list
-12/4 - 2.5 1/5 18/5 10 the middle is 1/5
What is the area and perimeter? Show your work
Answer:
area = 6
perimeter = 12
Step-by-step explanation:
area:
1.8+3.2 = 5
5*2.4 = 12
12/2 = 6
perimeter:
3+4+1.8+3.2 = 12
Can some please explain and solve how to do these unit rate equations?
The length of a rectangle is 12 feet more than twice the width. If the area is 320 square feet, what is the length? What is the width?
Answer:
Length of rectangle is 32 feet and width is 10 feetStep-by-step explanation:
Given,
The length of a rectangle is 12 feet more than twice the width and area is 320 square feetLet's assume, width of rectangle x feet and length of the Rectangle be 12 + 2x respectively. To Calculate the length and width of rectangle we'll use the formula of area of rectangle:
[tex] \\ \star \: { \underline{ \boxed { \pmb{ \sf{ \purple{Area _{(rectangle)}= Length \times width}}}}}} \\ \\ [/tex]
Substituting the required values:
[tex]\dashrightarrow \sf \: \: \: \: (12 +2x) (x) = 320 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2 = 320 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2- 320 = 0 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 2x^2 + 12 - 320 = 0 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 2(x^2 + 6x - 160) = 0 \\ [/tex]
[tex] \dashrightarrow \sf \: \: \: \: 2(x^2 + 16x - 10x - 160) = 0 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 2(x - 10)(x + 16) = 0 \\ [/tex]
[tex]\dashrightarrow \: \: \: \: \underline{ \boxed{ \purple{ \pmb{ \rm{ x = 10 \: or \: -16}}}}} \\ [/tex]
Hence,
Width of rectangle = x = 10 feet Length of rectangle = 12 + 2x = 12 + 2(10) = 32 feet[tex]~[/tex]
[tex] \underline{\therefore{ \pmb { \frak{Length \: and \: width \: of \: rectangle \: is \: 32 \: and \: 10 \:ft}}}}[/tex]
Jill wants to have ride at least 144 miles on her bike. Her riding speed is 9 miles per hour. Which inequality(s) represents how many h hours she needs to ride?
Hey there!
Let's make an equation
=> 9h = 144
{ Make h the subject of formula}
=> 9h = 144
=> 9h/9 = 144/9
=> h = 144/9
=> h = 16
Pls help I’ll give you 25 points
Answer:
For the 1st row:
6.38 - 6 19/50 - 638%
Step-by-step explanation:
I would suggest using MathPapa if you are trying to do it quick. MathPapa will only really help with finding fractions and percentages, though. To get the decimal, need to find percentages then move decimal to the left 2 times.
ex. 125% -> 1.25
I hope this helps! Have a blessed rest of your night!
? need in a day or 2 please! Is worth 23 points and brainiest!
Answer:
60 feet
Step-by-step explanation:
The easiest way to do this is to go answer by answer with the triangle area formula :)
Formula: A=hb/2
H = height
B: base
Now lets solve this :)
Choice 1: 50 feet
50 x 20 = 1000
1000/2 = 500
Choice 2: 40 feet
Since 40 feet is smaller than the 50, we know this will not be correct :)
Choice 3: 120 feet
120 x 20 = 2400
2400/2 = 1200
Choice 4: 60 feet
60 x 20 = 1200
1200/2 = 600
The correct answer is 4, 60 feet :)
Have an amazing day!!
Please rate and mark brainliest!!
how do you do thissss???
The solid above is a triangular prism. Therefore, the surface area of the triangular prism is 157.2 cm².
How to calculate surface areaThe figure above is a triangular prism. The surface area of a triangular prism can be calculated as follows:
Surface area = bh + l(p)
where
p = perimeter of the triangular basel = height of prismb = base of the triangular baseh = height of the triangular baseTherefore,
p = 6 + 6 + 6 = 18 cm
l = 7 cm
b = 6 cm
h = 5.2 cm
Therefore,
Surface area = (6 × 5.2) + 7(18)
Surface area = 31.2 + 126
Surface area = 157.2 cm²
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Factor the expression 20x + 12y - 28
Answer:
[tex]\boxed{\sf{4(5x+3y-7)}}[/tex]
Step-by-step explanation:
It is necessary to find the factors and solve them using their expressions in order to solve this problem.
20x+12y-287*4=28
3*4=12
5*4=20
Rewrite the problem down.
5*4x+3*4y+7*4
Solve.
Common term of 4.
4(5x+3y-7)
Therefore, the final answer is 4(5x+3y-7).I hope this helps you! Let me know if my answer is wrong or not.
[tex]========================================[/tex]
In order to factor this expression, we should factor out the common term (divide all terms in the polynomial by the common term)
In this case, the common term is
4
Note:- Usually, we factor out the G.C.F. (Greatest Common Factor)
So here, the G.C.F. is 4.
Why 4? Because in this trinomial (a polynomial with 3 terms) all 3 terms are divisible by 4.
So divide all the terms
5x
3y
-7
Put 4 outside the parentheses:
4(5x+3y-7)
Is the trinomial in its simplest form? Sure!
Hence, we are done! :)
[tex]================================[/tex]
note:-Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer. :)
5 and 1/3 divied by 2 and 2/9
Answer:
Step-by-step explanation:
16/3 / 20/9 = 16/3 x 9/20= 12/5 which is 2 2/5e
given triangle, ABC is congruent to triangle EDC find A
Answer:
m<A = 30 degrees.
Step-by-step explanation:
m < C in triangle ABC = m < C in EDC so
x + 13 + 42 + x + 13 = 180
2x = 180 - 13 - 13 - 42
2x = 112
x = 56.
So m < C = 56+13 = 69.
m < B = m < D = 81
M < A = 180 - 69 - 81
= 180 - 150 = 30.
What is 170.6% of 366?
Answer:
624.396
Step-by-step explanation:
I did the math myself XD
this polygon has an area of 72 square centimeters what is the height of the parallelogram
Chloe has a part-time job at an ice skating rink selling hot cocoa. She decided to plot
the number of hot cocoas she sold relative to the day's high temperature and then
draw the line of best fit. What does the line's y-intercept represent?
Answer: a prediction of the number of hot cocoas sold when the temperature is 0F
Step-by-step explanation: i did it on delta math
The line's y-intercept represent ''Number of hot cocoas sold''.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Chloe has a part-time job at an ice skating rink selling hot cocoa.
She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.
Now,
Since, She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.
Hence, By the graph we have;
The line's x - intercept represent ''Temperature''.
And, The line's y-intercept represent ''Number of hot cocoas sold''.
Thus, The line's y-intercept represent ''Number of hot cocoas sold''.
Learn more about the mathematical expression visit:
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6. Complete a glide translation (x-2, y) and then reflect over x axis. What would be the new ordered pairs for P'and S'?
The glide translation and the reflection over x-axis are illustrations of transformation
The new ordered pairs for P'and S'are (x - 2, -y)
How to determine the new ordered pairs?The given parameters are:
Glide translation (x-2, y)
Reflection over x axis
Assume the coordinates of point P and S are (x,y)
When translated, the new points would be:
(x-2, y)
The rule of reflection over the x-axis is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex](x - 2,y) \to (x - 2,-y)[/tex]
Hence, the new ordered pairs for P'and S'are (x - 2, -y)
Read more about transformation at:
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please ifs due today!!
Find the volume of the given figure. Round your answer to the nearest tenth. See picture for full problem. Please and thank you so much!(:
Answer:
146.7
Step-by-step explanation:
The equation for finding the volume of a pyramid is [tex]V = \frac{l w h}{3}[/tex].
For this pyramid, the height is 8, the width is 5, and the length is 11.
[tex]\frac{11x5x8}{3}[/tex]=146.67
146.67 rounded to the nearest tenth = 146.7.
A garden store bought a fountain at a cost of $995.66 and marked it up 100%. Later on, the store marked it down 25%. What was the discount price?
$
Answer:
$1493.49
Step-by-step explanation:
The original cost was doubled initially.
$995.66 x 2 = 1991.32
1991.32 x 0.75 (25% discount) = $1493.49
Select each correct answer.
f(x) is a polynomial function.
f(x) is an exponential function.
g(x) is a polynomial function.
g(x) is an exponential function.
The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.
The output values of g(x) will surpass those of f(x) as the input values continue to increase.
Answer:
f(x) is a polynomial function.g(x) is an exponential function.The output values of g(x) will surpass those of f(x) as the input values continue to increase.Explanation:
f(x) has a function of x³g(x) has a function of [tex]\sf 3^X[/tex]False statements:
The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.f(x) is an exponential function - as crosses x-axis, exponential never crosses x-axisg(x) is a polynomial function - as has no valid power.Answer:
By examining the table of ordered pairs, notice that the function f(x) is the cube of [tex]x[/tex]. Therefore, [tex]f(x)=x^3[/tex]
By examining the table of ordered pairs, notice that as [tex]x[/tex] increases by a constant value, the value of the function g(x) increases by the common ratio of 3. Therefore, [tex]g(x)=3^x[/tex]
From the table, both functions equal 27 when [tex]x=3[/tex], therefore, the point of intersection of the two functions is (3, 27).
As x increases past [tex]x=3[/tex], g(x) increases quicker than f(x) since g(x) is an exponential function and f(x) is a cubic polynomial.
So the following statements are true:
f(x) is a polynomial functiong(x) is an exponential functionThe output values of g(x) will surpass those of f(x) as the input values continue to increase.Please refer to the attached graph of both functions with plotted ordered pairs.
The space shuttle carries c pounds of cargo, and each piece of cargo weighs 212.66 pounds. Which of the following expressions represents the number of pieces of cargo?
Answer:
The answer would be B. c ÷ 158.14
Step-by-step explanation:
i just took this test :) the question was:
The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds. Which of the following expressions represents the number of pieces of cargo The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds? Which of the following expressions represents the number of pieces of cargo?
A. c × 158.14
B. c ÷ 158.14
C. c - 158.14
D. c + 158.14
The Sum of the measures of angle X & Y is 90 degrees
The measure of angle X is 6x
The measure of angle Y is 24
what is the value of X?
Step-by-step explanation:
X + Y = 90
Y = 24
X = 6x
X + 24 = 90
X = 66
x = X/6 = 66/6 = 11
Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for it.
A sphere has a diameter of 3.8 centimeters.
The volume of the sphere is about
cm3
HELP ME PLS
Answer:
Step-by-step explanation:
Remark
You are given the diameter but the formula uses the radius. So your first job is find the radius. Then you use this value in the formula to find the volume. Substitute
Givens
pi = 3.14
d = 3.8
r = d/2
r = 3.8/2 = 1.9
Formula
V = (4/3) * pi * r^3
Solution
V = (4/3) * 3.14 * 1.9^3
V = 4/3 * 3.14 * 6.859
V = 28.7163
What happened to rectangle A to become rectangle B in the diagram below?
dilated and then translated
dilated and then rotated 270°
dilated and then reflected
dilated and then rotated 90°
Answer: Dilated and then translated
Step-by-step explanation:
Answer:
dilated and then translated
Step-by-step explanation:
Rectangle A has been enlarged (dilated) and then translated up and to the right.
On a circle of radius 10 feet, what angle would subtend an arc of length 6 feet?
Answer:
34.38 (rounding to the nearest hundredth)
Step-by-step explanation:
I have my work linked below, but I used to arc length formula and plugged in all known numbers. Then solved for x which will be the angle you are looking for. Hope this helps!
On a circle of radius 10 feet, 34.37° angle would subtend an arc of length 6 feet.
How to find the length of an arc?The length of an arc formula is represented as follows
The length of arc = Ф / 360 × 2πr
where
Ф = angle, r = radius
It is given that circle of a radius of 10 feet,
The length of arc = 6 ft
Therefore,
6 = Ф / 360 × 2 × 3.14159 × 10
6 = 62.8318Ф / 360
360 x 6 = 62.8318Ф
Ф = 360 x 6 / 62.8318
Ф = 34.3784
Ф ≈ 34.37°
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PLEASE HURRY!
A bag of tokens contains 5 red, 10 green, and 8 blue tokens. What is the probability that a randomly selected token is red and green? Enter your answer as a fraction.
Answer:
50/529
Step-by-step explanation:
Total: 5 + 10 + 8
= 23
P(A and B) = P(A) x P(B)
P(A and B) = 5/23 x 10/23
P(A and B) = 50/529
Find a linear equation with two variables that, together with the
equation 10x + 5y = 1, would comprise a system
with one solution
Answer:
y = x
Step-by-step explanation:
Any equation that describes a different line will be part of a system with exactly one solution. There are an infinite number of possible equations.
Perhaps one of the simplest is ...
y = x
_____
Together with the given equation, this has the solution ...
x = y = 1/15
If the simple interest on $5,000 for 4 years is $1,800, then what is the interest rate?
Answer:
9%
Step-by-step explanation:
What are the prime numbers between 2010 and 2020
Answer: 99%
Step-by-step explanation:
What is the measure of angle x?
Enter your answer in the box
Answer:
x = 83°Step-by-step explanation:
There are 6 angles, 3 pairs of vertical angles that sum to 360°.
Set below equation and solve for x:
2(41° + 56° + x) = 360°97° + x = 180°x = 180° - 97°x = 83°Opposite angles are equal and linear pairs are supplementary
x+56+41=180x+97=180x=180-97x=83°