Answer:
its $2,400
Step-by-step explanation:
if this helps please mark brainliest
please explain fully and i give brainiest thanks and 5 stars
Answer:
[tex]a=7,\\b=3[/tex]
Step-by-step explanation:
The area of a rectangle is equal to [tex]A=l\cdot w[/tex], where [tex]l[/tex] is the length of the rectangle and [tex]w[/tex] is the width of the rectangle. In a rectangle, opposite sides are equal.
Therefore, we can write the following system of equations:
[tex]\begin{cases}a\cdot (9+b)=84,\\a\cdot b=21\end{cases}[/tex]
Expand the first equation:
[tex]9a+ab=84[/tex]
Substitute the second equation into the first ([tex]ab=21[/tex]):
[tex]9a+21=84,\\9a=63,\\a=\boxed{7}[/tex]
Solving for [tex]b[/tex]:
[tex]7b=21,\\b=\frac{21}{7}=\boxed{3}[/tex]
Answer:
Step-by-step explanation:
Hope this helps u!!
Martha has two jobs. One pays $15 per hour, and she works at that job 10 hours per week. The other job pays $13 per hour, and she works at that job 30 hours per week. How much money does she make per year?
.
Answer:
$28080 per year
Step-by-step explanation:
15$ per hour for the first job and she does it for 10 hours each week, this means, 15*10 which is 150. So we have 150 for the 1st job every week.
2nd job, 13$ per hour. She does that for 30 hours a week so we have 13*30 which is 390$ per week.
The two jobs together are 150 per week and 390 per week which means 540$ per week. Now` if we want to find how much she makes in a year, the are 52 weeks in a year, so multiply 540$ *52=$28080
So she makes $28080 per year
The angles of a triangle measure 50°, 62°, and x. Find the value of x.
Would appreciate any assistance
Answer:
The answer is 37
Step-by-step explanatio
Decide whether the triangles are similar. If they are, write a similarity statement and state the reason justifying the similarity.
If necessary, you may learn what the markings on a figure indicate.
PLS HELP ASAP
Answer:
Step-by-step explanation:
Triangles are similar if their corresponding angles are congruent and corresponding sides are proportional.
Find the measure of the missing angles. (someone help this is so urgent [cry])
Answer:
b=77
c = 103
Step-by-step explanation:
b and 77 are vertical angles and vertical angles are equal
b= 77
c and 77 are supplemental angles and supplemental angles add to 180
c+77 =180
c = 180-77
c =103
[tex] \large \sf \star \: \blue{Answer} \: \star[/tex]
[tex] \small \sf \mapsto\: b = \fbox{77 °} [/tex]
[tex] \small \sf \mapsto \: c = \fbox{ 103 °}[/tex]
Step-by-step explanation:Here,
Angle b and 77° both are vertical angles . So, both angles are equal . b = 77 °And,
Angle b and angle c are on straight line so it's supplementary angles and we know that sum of all angles of supplementary angles is 180 °.So, b + c = 180 °
77° + c = 180 ° ... { b = 77 -( vertical angle )}
subtract 77 from each sides
77 - 77 + c = 180 ° - 77 °
c = 103 °
Determine the area of a parallelogram if
its base is 16 cm and its height is 7 cm.
=====================================
Work Shown:
area = base*height
area = 16*7
area = 112 square cm
----------------
Extra info (optional section):
The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.
Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.
Solve for x. -6 + 8x = 42 please help 10 pts!
Answer:
x = 6
Step-by-step explanation:
Given
- 6 + 8x = 42 ( add 6 to both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Jack had 3bags of golf balls with b balls in each bag; then his friend gave him 6 more golf balls. How many golf balls does Jack have now?
Answer:
3(b+2)balls
Step-by-step explanation:
Given data
number of bags of golf balls= 3
number of balls in each bag=b
total number of balls in all three bags= 3b
His friend gave him 6 more= 3b+6
Hence the total balls is = 3b+6
= 3(b+2)balls
Answer fast again important
Answer: 17 square inches.
Step-by-step explanation: Area of a triangle is 1/2 x b x h. We can just take the area of half of the whole triangle, and double it. In this case, half of the triangle has an area of 1/2 x 3.4 x 5 = 8.5. Doubling it is the same is doing 8.5 x 2, which equals 17.
Substitute the given side lengths into the equation for the Pythagorean Theorem.
Answer:
15 is the missing side (hypotenuse)h
Step-by-step explanation:
A^2+b^2=c^2
9^2+12^2=c^2
81+144=c^2
225=c^2
15=c
What is the name of the point located at (4, 3)?
A. Point M
B. Point P
C. Point W
D. Point X
Answer:
Point X
Step-by-step explanation:
Okay so to find the answer to this one simply go to the origin (0,0), then go over 4 and then up 3
The point located at point (4,3) would be point X
Which of the binomials below is a factor of this expression?
4x² - 25y2z2
O A. 4x - 5yz
B. 4x2 - 5y2 22
O c. 2x2-5y2 2
O D. 2x - 5yz
Answer:
the answer is D
1.step by step explanation :
[tex]4 {x}^{2 } - 25 {y}^{2}{z}^{2} [/tex]
[tex] \sqrt{4 {x}^{2} } - \sqrt{25 {y}^{2} } {z}^{2} [/tex]
2x-5yz
Encuentra la factorizacion
can someone pls help for brainlest
Answer:
A
Step-by-step explanation:
52-(20+20+8)
THIRD TIME ASKING FOR HELP PLEASE HELP ME!!!!!!!!!!!!!!!!!!!
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB=3 and AD=1, what is the length of AC?
========================================================
Explanation:
For now, focus on triangle ABD. This is a right triangle due to BD being an altitude.
Use the pythagorean theorem to find that...
(AD)^2 + (BD)^2 = (AB)^2
(1)^2 + (BD)^2 = (3)^2
1 + (BD)^2 = 9
(BD)^2 = 9-1
(BD)^2 = 8
Normally we would isolate BD itself, but I'll stop short and use that last line instead.
------------------
The triangles ABD and BCD are similar triangles (we can prove this using the AA similarity theorem).
Since we have similar triangles, we can form the proportion shown below
AD/BD = BD/CD
This cross multiplies to
AD*CD = (BD)^2
We know that AD = 1 and (BD)^2 = 8, so,
AD*CD = (BD)^2
1*CD = 8
CD = 8
This then means,
x = CD+DA
x = 8+1
x = 9
AC is 9 units long.
find the height of a right cylinder with surface area 160pie square units and radius 5 units
Given:
Radius of a cylinder = 5 units.
Surface area of the cylinder = [tex]160\pi[/tex]
To find:
The height of the right cylinder.
Solution:
Surface area of a cylinder is:
[tex]A=2\pi rh+2\pi r^2[/tex]
Where, r is radius and h is the height of the cylinder.
Putting [tex]r=5, A=160\pi[/tex] in the above formula, we get
[tex]160\pi =2\pi (5)(h)+2\pi (5)^2[/tex]
[tex]160\pi =10\pi h+2\pi (25)[/tex]
[tex]160\pi =10\pi h+50\pi [/tex]
Subtract [tex]50\pi[/tex] from both sides.
[tex]160\pi -50\pi=10\pi h [/tex]
[tex]110\pi=10\pi h [/tex]
Divide both sides by [tex]10\pi[/tex].
[tex]\dfrac{110\pi}{10\pi}=h[/tex]
[tex]11=h[/tex]
Therefore, the height of the cylinder is 11 units.
Please dont put any files or links. answer each equation please.
Answer:
23 thousandths. = 23 ÷ 10^3
9+4 × (6÷3) > (9+4×6) ÷ 3
5 tens + 2 hundredths. < 50.20
810.6 ÷ 10. = 8.106 × 10
Solve the following system of equations by substitution. PLEASE HELP!
Answer:
(1,-1)
Step-by-step explanation:
y = -1
5x+7y = -2
Substitute the first equation into the second
5x + 7(-1) =-2
5x -7 = -2
Add 7 to each side
5x-7+7 = -2+7
5x= 5
Divide by 5
5x/5 = 5/5
x =1
(1,-1)
the sum of the two fractions is 9/26. if one of the fraction is 1/13, find the other
Answer:
7/26
Step-by-step explanation:
let the other fraction be x
according to the question,
1/13 +x =9/26
x = 9/26 - 1/13
take lcm of the denominator . lcm=26
x = 9*1 - 1*2/26
x = 9-2/26
x=7/26
Hey can someone help me with these I will give a lot of points and brainliest!!!
Answer:
6) 62.5%
7) 54
8) B
Step-by-step explanation:
For number 6, just add 96 and 160 and then do 160/(96+160), which is equal to 0. 625, or 62.5%.
for number 7, x is always equal to 1/3 of y, so if x is 18, we know that 18 is 1/3 of y. 18x3 is equal to 54, which is your answer.
For number 8, you can see that B is right because it uses the greatest common factor of 32 and 48, which is 16. All the other answers can be simplified more.
Answer:
6. C) 62.5%
7. D) 54
8. B) 16(2c + 3d)
Step-by-step explanation:
160 + 96 = 256
[tex]\frac{160}{256}=\frac{160/32}{256/32}=\frac{5}{8}[/tex]
5 ÷ 8 = 0.625
0.625 × 100
62.5%
GCF = 32
The factors of 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The factors of 256: 1, 2, 4, 8, 16, 32, 64, 128, 256
The GCF is 32.
1:3 = 7:21 = 9:27 = 13:39 = 18:y
[tex]\frac{1}{3}: \frac{18}{y}[/tex]
1 × y = 18 × 3
y = 54
GCF(32, 48)
32 = 2 × 2 × 2 × 2 × 2
48 = 2 × 2 × 2 × 2 × 3
GCF = 2 × 2 × 2 × 2
GCF = 16
16(2c + 3d)
solve for x round to the nearest tenth if necessary
Answer:
x = 74.4
Step-by-step explanation:
tan = opp/adj
tan42 = 67 / x
x = 67/tan42
use calculator
x = 74.411038493555922
rounded
x = 74.4
The length of a rectangular plot is 9/2 times that of it's breadth. If the area of the plot is 200
square meters, then what is it's length?
Answer:
The length of the rectangular plot is 30 m
Step-by-step explanation:
Mathematically, the area of a rectangle is the product of its length and width
Let us have the length as x m ; for the length to be 9/2 of the breadth, it means the breadth is 2/9 of the length
so we have the breadth as 2/9 * x = 2x/9
The product of the two equals the area which is 200 square meters
thus, we have it that;
x * 2x/9 = 200
2x^2 = 9 * 200
x^2 = 1800/2
x^2 = 900
x = √900
x = 30 m
Solve -33 < 12x + 15 99.
how to solve numbers 4-5
Answer:
x^2+7x+6
Step-by-step explanation:
Write an explicit formula for a_n, the nth term of the sequence 4, -20, 100, ...
Answer:
[tex]a_{n}[/tex] = 4 [tex](-5)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio r between consecutive terms , that is
r = - 20 ÷ 4 = 100 ÷ - 20 = - 5
This indicates the sequence is geometric with nth term ( explicit formula )
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 4 and r = - 5 , then
[tex]a_{n}[/tex] = 4 [tex](-5)^{n-1}[/tex]
The distance from the center of a Ferris Wheel to a person who is riding is 25 feet. What Distance does a person travel if the Ferris wheel rotates through an angle of 4.1 radians? Round your answer to nearest tenth of a foot
Answer:
322.0 ft
Step-by-step explanation:
d = ∅r
d = 4.1 π * 25
d = 322.013246993
Rounded
322.0 ft
Graph the line with the equation y=-1/6x+3
Which expression is equivalent to ((4^(5/4)x4^(1/4))/4^1/2)^1/2
?
^16sqrt4^5
Sqrt2^5
2
4
Answer:
2
Step-by-step explanation:
add 5/4 and 1/4 to get 6/4 or 3/2
(4^3/2 ÷ 4^1/2)^1/2 = 4^3/4 ÷ 4^1/4
4^3/4 ÷ 4^1/4 = 4^2/4 or 4^1/2
4^1/2 is the square root of 4, which is 2
Answer:
2
Step-by-step explanation:
In first step use the product rule of exponents .
so exponents going to add up.
Then in the second step simplified exponents.
After that Its division rule of exponents. and according to division to the exponents get subtracted.
In the end he would be left with four to the power half. which means square root of 4. which is 2.
10 Y What is the vertical change from Point A to Point B? 9 8 What is the horizontal change from Point A to Point B? 7 6 What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary 5 4 3 3 B 2 A 1 X 1 . 2 3 4 5 6 7 8 9 10
Answer:
0.5
Step-by-step explanation:
From the graph given ;
The vertical distance ; y - axis :
(y2 - y1) ; y2 = 2 ; y1 = 1
y2 - y1 = 2 - 1 = 1
The horizontal distance ; the x - axis :
(x2 - x1) ; x2 = 4 ; x1 = 2
x2 - x1 = 4 - 2 = 2
The slope ; the rate of change :
Change in y / change in x
The rate of change ;
(y2 - y1) / (x2 - x1) = 1 / 2