Answers
(Combine like terms)
8a+10=90
-10 -10
8a = 80
8a/8 = 80/8
A=10
Answer:
So here we have 3 adjacent angles, and add them all up they would equal a right angle as shown in the diagram.
POT is the right angle which can be seen by the square
POQ is the first angle
QOS is the second
SOT is the third
Now solve it.
We know that it has to be equal to 90 since thats the final reasoning.
4a + 20 + 3a - 10 + a = 90
Solve.
So you’d get 10.
If you want to elaborate then just say all adjacent angles has to add put o 90 since
Related Questions
One of the legs of a right triangle measures 19 cm and its hypotenuse measures 13 cm, Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
not possible, the hypotenuse must be the longest side of a right triangle
True or False The Solutions, Roots, X-intercepts and zeros of a quadratic equation are all the same thing? why
Answers
Yes, solutions, roots, x-intercepts, and zeros are the same thing.
What is a quadratic equation?
The general quadratic equation is given by:
a*x^2 + b*x + c = 0
So the solutions are the values of x such that the above thing is zero.
On another hand, a parabola or a quadratic function is given by:
a*x^2 + b*x + c = y
The roots, zeros, or x-intercepts (these represent the same thing) are given by:
a*x^2 + b*x + c = 0
Zero or Root means that when you evaluate the function in that value the outcome is zero.X-intercept means that for that value of x, the function intercepts the x-axis, so the function is equal to zero.So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.
Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.
If you want to learn more about quadratic functions, you can read:
https://brainly.com/question/1214333
Tom solved 9 out of the 15 practice questions for a test correctly. If the actual test is 35 questions, how many can Tom expect to solve correctly?
Answers
Answer:
21
Step-by-step explanation:
9/15 = 3/5
35*3/5=105/3
105/3=21
Find the missing side of the right triangle. 7 ܠ x x= [?] /[ Enter the number that belongs in the green box.
Answers
Answer:
Step-by-step explanation:
help I need the answer to this question ASAP
Answers
if you were to flip FHN to its right side, it will look exactly like KGQ same lenght, same width, and same angles. corresponds means, they have a close similarity or its close and almost exact. well F is almost exactly like K, but flipped. I hope this helped!
HELP ASAP
Antonio's sister has challenged him to find the sum of the 23rd through 40th terms of the series. Help
Antonio by finding this value. Explain your reasoning and show your work below.
Answers
The function A(n) = 22(1.1)^n-1 is an illustration of a geometric series
The sum of the 23rd through 40th terms of the series is 17.49
How to determine the sum of the seriesThe nth term of the geometric series is given as:
[tex]A(n) = 22(1.1)^{n-1[/tex]
The nth term of a series is represented as:
[tex]A(n) = ar^{n-1[/tex]
So, by comparison;
We have:
[tex]a = 22[/tex]
[tex]r = 1.1[/tex]
The sum of nth term of a geometric progression is:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
Start by calculating the sum of the first 22 terms
[tex]S_{22} = \frac{22(1.1^{22} - 1)}{22 - 1}[/tex]
[tex]S_{22} = \frac{157.086}{21}[/tex]
[tex]S_{22} = 7.48[/tex]
Next, calculate the sum of the first 40 terms
[tex]S_{40} = \frac{22(1.1^{40} - 1)}{40 - 1}[/tex]
[tex]S_{40} = \frac{973.70}{39}[/tex]
[tex]S_{40} = 24.97[/tex]
Subtract S22 from S40
[tex]S_{40} - S_{22} = 24.97 - 7.48[/tex]
[tex]S_{40} - S_{22} = 17.49[/tex]
Hence, the sum of the 23rd through 40th terms of the series is 17.49
Read more about progression at:
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Mr. Brooks is buying felt to cover a triangular putting green of his miniature golf course. The base of the green is 4 feet wide, and the height is 12 feet. The felt costs $1. 99 per square foot. What is the cost of the felt to cover the green? $23. 88 $31. 84 $47. 76 $95. 52.
Answers
The total cost of the triangular felt of the 24 square feet is 47.76 Dollars. Then the correct option is C.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Mr. Brooks is buying felt to cover a triangular putting green of his miniature golf course.
The base of the green is 4 feet wide, and the height is 12 feet.
The area of the triangle will be
[tex]\rm Area = \dfrac{1}{2}*base *height\\\\Area = \dfrac{1}{2}*4*12\\\\Area = 24[/tex]
The area of the triangle is 24 square feet.
The felt costs $1. 99 per square foot. Then the cost of 24 square feet will be
[tex]\rm Total\ cost = 1.99*24\\\\Total\ cost =\$ \ 47.76[/tex]
The total cost of the 24 square feet is 47.76 Dollars. Then the correct option is C.
More about the triangle link is given below.
https://brainly.com/question/25813512
Instructions: Write the equation of the line in Point-Slope Form
given the information below. Use Point One.
Point One = (-3,3)
Point Two = (-2,-1)
Answers
Answer:
Step-by-step explanation:
HELPPPPPPPPPPPPPP!!!!!!!! PLEASEEEEEEE
Answers
Answer:
No solution
Step-by-step explanation:
The slopes of both equations are identical (both being 2/3), therefore the only possible answers would be "infinitely many solutions" and "no solution". Because of the fact that the y-intercepts of the equations are different (-10 and 10) they two lines will never cross, meaning there is no solution.
Answer:
no solution
Step-by-step explanation:
[tex]\frac{2}{3} x - 10 = \frac{4}{6} x + 10[/tex]
Reduce the fraction:
[tex]\frac{2}{3} x - 10 = \frac{2}{3} x + 10[/tex]
Rearrange variables to the left side of the equation:
[tex]\frac{2}{3} x - \frac{2}{3} x = 10 + 10[/tex]
Apply the inverse property of addition
0 = 10 + 10
0 = 20
Based on the given conditions, the system of equations has no solution.
hope this helps!! p.s. i really need brainliest :)
How long will each knight spend on guard duty in one day
Answers
Step-by-step explanation:
248 min i think hope it helps
Which equation can be used to find x, the length of the hypotenuse of the right triangle? A triangle has side lengths 18, 24, x. 18 24 = x 18 squared 24 = x (18 24) squared = x squared 18 squared 24 squared = x squared.
Answers
Answer:
18 squared + 24 squared = x squared
Step-by-step explanation:
As we know from Pythagorean theorem:
a^2=b^2+c^2, where a -s hypotenuse and b&c are adjacent sides of right angle.
Here we should have: x^2=18^+24^2
..............................................................................
Answers
Answer:
x = 166°
Explanation:
m || n|| means parallel lines.
x = 166°
reason:
Alternate interior angles, so has same angle measure.
Answer:
x = 166°
Step-by-step explanation:
Alternate interior angles are equal
Therefore, x = 166°
16. Suppose Eva has 12 3/4 pounds of flour. The day's baking will require triple that amount.
How much flour will Eva need?
A. 37 lb
B. 38 1/2 lb
C. 373/4 lb
D. 38 1/4 lb
E. 38 1/3 lb
Answers
Answer:
Option D
Step-by-step explanation:
Given the following question:
[tex]12 \frac{3}{4} \times3[/tex]
In order to find the answer, we have to convert the mixed number and then multiply by three, since how Eva needs triple the amount for today's baking.
[tex]12 \frac{3}{4} \times3[/tex]
[tex]12\frac{3}{4} =4\times12=48+3=51=\frac{51}{4}[/tex]
[tex]3=\frac{3}{1}[/tex]
[tex]\frac{51}{4} \times\frac{3}{1}[/tex]
[tex]51\times3=153[/tex]
[tex]4\times1=4[/tex]
[tex]=\frac{153}{4}[/tex]
Convert the improper fraction back into a mixed number:
[tex]\frac{153}{4}[/tex]
[tex]\frac{153}{4} =153\div4=38\frac{1}{4}[/tex]
[tex]=38\frac{1}{4}[/tex]
Which means Eva needs "38 1/4 pounds of flour" or option D for today's baking.
Niki makes the same payment every two months to pay off his $61,600 loan. the loan has an interest rate of 9.84%, compounded every two months. if niki pays off his loan after exactly eleven years, how much interest will he have paid in total? round all dollar values to the nearest cent. a. $39,695.48 b. $10,294.26 c. $3,126.29 d. $39,467.12 please select the best answer from the choices provided a b c d
Answers
The interest that Niki paid in total will b A $39,695.48
what will be the interest paid by Nikki?We will use the formula of amount for two monthly compounded
[tex]A=\dfrac{P(1-(1+\dfrac{r}{t}^{-nt} )}{\dfrac{r}{t} }[/tex]
P is the periodic payment.
Here, A = $61,60
r = 0.0984
t = 6
n = 11 years
By putting values in the formula we get,
[tex]61600=\dfrac{P(1-(1+\dfrac{0.0984}{6} ^{-11\times6} )}{\dfrac{0.0984}{6} }[/tex]
[tex]61600=\dfrac{P(1-(1+0.0164)^{-66}}{0.0164}[/tex]
[tex]1010.24=P(1-0.341769)[/tex]
[tex]1010.24=0.658231\times P[/tex]
[tex]P=$1534.78[/tex]
So, Niki pays $1534.78 every two months for eleven years.
Now the total payment made by Niki = [tex]11\times 6\times 1534.78=101295.48[/tex]
Hence, interest paid is = [tex]101295.48-61600=39695.48[/tex]
Thus interest that Niki paid in total will b A $39,695.48
To know more about Compound interest follow
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Answer:
A $39,695.48
Step-by-step explanation:
got it right on edge ;)
Suppose you roll a number cube. What is the probability that you roll a number greater than 1?
Answers
Answer:
Ok a cube has 6 sides and the choices are 1,2,3,4,5,6. As you can see you need to know the probability getting greater than 1. So 2,3,4,5,6 are greater so, the answer would be 5/6 into percentage around 83% of getting greater than 1.
Step-by-step explanation:
Rodrigo works for a company that ships orders from two different locations—location A and location B. He wonders if the same proportion of orders arrive late from each location. He takes a random sample of orders from each location to test if there is a significant difference in the proportion of orders that arrive late from each location.
Which of the following is an appropriate set of hypotheses for Rodrigo's significance test?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\begin{aligned} &H_0: p_\text{A} - p_\text{B}=0\\ &H_\text{a}: p_\text{A} - p_\text{B} <0 \end{aligned}
H
0
:p
A
−p
B
=0
H
a
:p
A
−p
B
<0
(Choice B)
B
\begin{aligned} &H_0: p_\text{B} - p_\text{A}=0\\ &H_\text{a}: p_\text{B} - p_\text{A} <0 \end{aligned}
H
0
:p
B
−p
A
=0
H
a
:p
B
−p
A
<0
(Choice C)
C
\begin{aligned} &H_0: p_\text{A} - p_\text{B}=0\\ &H_\text{a}: p_\text{A} - p_\text{B} \neq 0 \end{aligned}
H
0
:p
A
−p
B
=0
H
a
:p
A
−p
B
=0
(Choice D)
D
\begin{aligned} &H_0: p_\text{B} - p_\text{A}\neq0\\ &H_\text{a}: p_\text{B} - p_\text{A} =0 \end{aligned}
H
0
:p
B
−p
A
=0
H
a
:p
B
−p
A
=0
Answers
According to the described situation, the appropriate set of hypotheses for Rodrigo's significance test are given by:
[tex]H_0: p_A - p_B = 0[/tex]
[tex]H_1: p_A - p_B \neq 0[/tex]
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference between the locations, that is:
[tex]H_0: p_A - p_B = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference, that is:
[tex]H_1: p_A - p_B \neq 0[/tex]
More can be learned about hypothesis tests at https://brainly.com/question/26454209
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Hurry please!! Write an equation of the line in slope-intercept form
Answers
Answer:
D
Step-by-step explanation:
Answer:
[tex]d)\ y=\frac{1}{3}x +2[/tex]
Step-by-step explanation:
Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-2}{3-0} \\\\m=\frac{1}{3} \\\\m=\frac{1}{3}[/tex]
[tex]y=mx+b\\y=\frac{1}{3}x +b[/tex]
(3, 3)
[tex]y=\frac{1}{3}x +b\\3=\frac{1}{3}(3) +b\\3=1+b\\-1-1\\2 =b[/tex]
[tex]y=\frac{1}{3}x +2[/tex]
Check your answer:
[tex]y=\frac{1}{3}x+2 \\3=\frac{1}{3}(3)+2\\3=1+2\\3=3[/tex]
This statement is true
Hope this helps!
lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
Answers
Answer:
x = 28°
Explanation:
m || n|| means parallel lines.
x = 28°reason:
Alternate interior angles, so has same angle measure.
Faith is taking an $8,100, 2 ½ -year loan with an APR of 8. 22%. What is the monthly payment for this loan?
Answers
Using simple interest, it is found that the monthly payment for this loan is of $325.485.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.In this problem, the parameters are A(0) = 8100, r = 0.0822, t = 2.5, hence, the total amount is:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]A(t) = 8100[1 + 0.0822(2.5)][/tex]
[tex]A(t) = 9764.55[/tex]
it will be paid over 2.5 x 12 = 30 months, hence the monthly payment is given by:
M = 9764.55/30 = $325.485.
More can be learned about simple interest at https://brainly.com/question/25296782
You had $50. You spent 10% of the money on clothes, 20%
the rest on books. How much money was spent on books
Answers
Answer:
$9 was spent on books
Step-by-step explanation:
10% of 50 = 5
50-5 = 45
20% of 45 = 9
Answer:
$9
Step-by-step explanation:
Given:
You had $50
Spend 10% on clothes
Spend 20% rest on books
Solve:
$50 x 10% = 5
$50 - 5 = $45 [ Spend on clothes]
$45 x 20% = 9 [ Spend on Book]
Thus, Spend on books = $9
[RevyBreeze]
Find the value of x, the area is 48 inches squared.
Answers
Answer: x=8in.
Step-by-step explanation: Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.
Answer:
x = 3
Step-by-step explanation:
there are 4 right triangles inside the quadrilateral
area of 4 triangles
= 4 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
= 4 × [tex]\frac{1}{2}[/tex] × 8 × x
= 2 × 8x
= 16x , then
16x = 48 ( divide both sides by 16 )
x = 3
Amy takes 17/5
minutes to drive from her home to the local shopping centre. She spends 1/8
of this time waiting at traffic lights.
Answers
Answer:
Make 7/5 and 1/8 have a common denominator, which is 40.
7/5 x 8/8 = 56/40(minutes driving to her home)
1/8 x 5/5 = 5/40 she spends
what is the area of this face
Answers
explanation: 12 x 18 = 216
216 - (6 x 6)
216 - 36 = 180
Place them in the correct place on the diagram (rational,integers, and whole) view the image
Answers
Answer:
rational: 4¾, ¼, -0.9
whole: 8
integers: 8, -16
Step-by-step explanation:
rational numbers are numbers that can be expressed as a fraction. (-0.9 = -9/10)
whole numbers are numbers that do not have a fraction but they do not include negative numbers.
integers are numbers that can be expressed as a whole number with no fractions.
Emily’s bedroom ceiling needs to be repainted due to a leak in the ceiling. How many square feet will she be painting
Answers
Answer:
64
Step-by-step explanation:
5*8+6*4
please help this is due tomorrow
Answers
Answer:
2.35
Step-by-step explanation:
divide by 1000
a rectangles side is 7.6 cm. the bottom of the rectangle is 11cm. what is the area?
Answers
Answer:
83.6 cm
Step-by-step explanation:
Area = width x length
so 7.6 x 11
which is 83.6
Therefore, the area of the rectangle is 83.6 cm
hope this helps, give brainliest?
Answer:
18.6 should be ur answer!
Step-by-step explanation:
The volume of a cylinder is 1087 cm and its height is 12 cm.
Answers
Step-by-step explanation:
Appropriate QuestioN :The volume of a cylinder is 108π cm³ and its height is 12 cm. What is the length of the cylinder's radius?Need to FinD :We have to find the length of the cylinder's radius.[tex] \red{\frak{Given}} \begin{cases} & \sf{Volume\ of\ the\ cylinder\ =\ {\pmb{\sf{108{\pi}\ cm^3.}}}} \\ & \sf{Height\ of\ the\ cylinder\ =\ {\pmb{\sf{12\ cm.}}}} \end{cases}[/tex]
We know that,
The volume of a cylinder is the density of the cylinder which shows the amount of material contained in the cylinder. The volume of the cylinder is given by, πr²h.Where,
r is for radius.h is for height.[tex]\rule{200}{3}[/tex]
Now, let's calculate the length of the cylinder's radius.[tex] \sf \dashrightarrow {Volume\ of\ cylinder\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\pi}\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\cancel \pi}\ =\ {\cancel \pi}r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {108\ =\ r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {\dfrac{\cancel{108}}{\cancel{12}}\ =\ r^2} \\ \\ \\ \sf \dashrightarrow {r^2\ =\ 9} \\ \\ \\ \sf \dashrightarrow {r\ =\ \sqrt{9}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{r\ =\ 3\ cm.}}}}_{\sf \blue{\tiny{Radius\ of\ cylinder}}}} [/tex]
∴ Hence, the length of the cylinder's radius is 3 cm.
Tell weather the angles are adjacent or vertical then find the value of x
Answers
Answer:
x = 49
Step-by-step explanation:
Pls, choose me as brainliest!
Answer:
=> x = 49Step-by-step explanation:
=> x + 10 = 59 { They are equal because they are vertically opposite angle }
=> x = 59-10
=> x = 49
=> x+10 => 49+ 10 => 59