Answer:
they are complementary angles and as thry both are the realeation between angle a and b
The relationship between angles A and B is that, they are complementary. option B
How to determine the relationshipFor angle ACB, the angle is at C = 90 degrees
For angle CBA, the angle is at B = 31 degrees
For angle BAC, the angle is at A = 59 degrees
Note that complementary angles are angles that sum up to 90 degrees
Angle at A = 31 degrees
Angle at B = 59 degrees
Sum of angles A and B = 31 + 59 = 90 degrees
Thus, the relationship between angles A and B is that, they are complementary. option B
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Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 4 year?
In 4 years, joe pays $blank
In interest.
Answer:
He will pay $640 in interest in 4 years.
Step-by-step explanation:
Yearly interest will be $160
because $4,000 x 7% = $160
$160 x 4 years = $640
Which of the following statements about the box plot is true?
Alternative text
PLS HELP .................
Answer:
B
Step-by-step explanation:
B is the only choice that fails the vertical line test. A line basically touches 2 points on choice B. It can only touch 1.
Please help me please
The vertices of a figure are FC -9,- 9),G-3, -6),H(-3,-9). Find the coordinates of the image after a dilation with a scale factor of 2 3 and then a translation 6 units up.
Transformation involves changing the size and position of a figure.
The new coordinates of the figure is:
[tex]\mathbf{F" = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,0)}[/tex]
The coordinates are given as:
[tex]\mathbf{F = (-9,-9)}[/tex]
[tex]\mathbf{G = (3,-6)}[/tex]
[tex]\mathbf{H = (-3,-9)}[/tex]
When the figure is dilated by 2/3, the new coordinates are:'
[tex]\mathbf{F' =\frac 23 \times (-9,-9) = (-6,-6)}[/tex]
[tex]\mathbf{G' =\frac 23 \times (3,-6) = (2,-4)}[/tex]
[tex]\mathbf{H' =\frac 23 \times (-3,-9) = (-2,-6)}[/tex]
When the figure is further translated up by 6 units, the new coordinates are:
[tex]\mathbf{F" = (-6,-6 + 6) = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,-4 + 6) = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,-6 + 6) = (-2,0)}[/tex]
Hence, the new coordinates are:
[tex]\mathbf{F" = (-6,0)}[/tex]
[tex]\mathbf{G" = (2,2)}[/tex]
[tex]\mathbf{H" = (-2,0)}[/tex]
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Answer:
F is (-6,0) and G is (-2,2) and H is (-2,0) I'm only putting my answer too because the other person said 2,2 and its -2,2
Step-by-step explanation:
What function equation is represented by the graph?
f(x)=−3x+6
f(x)=6x−3
f(x)=6x+2
f(x)=−3x+2
Answer:f(x)=-3x+6
Step-by-step explanation:
Answer:
A. f(x)=-3x+6
Step-by-step explanation:
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters. centimeters of velve
Given:
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long.
Velvet purchased by first customer = 120 centimeters
Velvet purchased by second customer = 14 meters
To find:
The remaining velvet in Malik's shop.
Solution:
We know that,
1 meter = 100 cm
Using this conversion, we get
32 meter = 3200 cm
14 meter = 1400 cm
Now,
Remaining velvet in Malik's shop = (3200 - 120 - 1400) cm
= 1680 cm
Therefore, the remaining velvet in Malik's shop is 1680 cm.
If P(A) = 0.7 P(B) = 0.6 and A and B are independent event, find P(A and B)
Answer:
0.42
Step-by-step explanation:
multiply .6 by .7
Which can be represented by the expression 14 – 3(a + 7)?
Answer:
Simplifed is -3a-7
Step-by-step explanation:
14 – 3(a + 7)
Solve it out-
[tex]-3(a+7)+14\\-3(a) -3(7) \\-3a-21+14\\\\=-3a-7[/tex]
PLEASEEEE HURRY!! What MUST be true for a parabola that has a maximum value? (Select all that apply) a.) the leading coefficient is positive b.) the leading coefficient is negative. C.) it opens up d.) opens down
Answer:
B.)
Step-by-step explanation:
that is a characteristic of a maximum value parabola.
Answer: it's the letter b.
Step-by-step explanation:
Find the scale factor,and find the unknown side lengths.
Help if you can please
Step-by-step explanation:
Solution,
since two of these triangle are similar so,
i) LK/LJ=MN/NO
or,j/8=18/12
or,j=18×8/12
.°. j = 12m
ii)JK/JL=MO/NO
or,10/8=n/12
or,120/8=n
.°.n=15m
PLEASE HELP! :)
A restaurant owner was experimenting with the taste of her homestyle lemon
drink. She started with 60 litres of water. She removed 15 litres of the water and
replaced it with 15 litres of pure lemon juice.
After thoroughly stirring the new mixture, she discovered that it was too
“lemony”. So she removed 10 litres of the new mixture and replaced it with 10
litres of water. She thoroughly stirred the mixture and concluded that the new
mixture was just right.
Determine the ratio of pure lemon juice to water in the final 60 litre mixture.
Answer:
Lemon juice / water = 12,5 / 47,5 or 26,31 %
Step-by-step explanation:
First step:
We got 60 liters. of water and we replace 15 liters. of water and add 15 liters of lemon juice, then our mixture is:
60 lts. of mixture ⇒ with 45 lts. is water and 15 lts. is lemon juice
The proportion of the mixture
each liter of the mixture is 0,75 lts. of water and 0,25 of lemon juice
2 step
Removing 10 lts. of mixture implies
10 lts of mixture means 7,5 lts. of water and 2,5 lts. of lemon juice
then we have
50 lts. of mixture with (45 - 7,5 = 37,5 lts.) of water and (15 - 2,5 = 12,5 ) lts. of lemon juice
third step
Addind 10 lts. of water:
60 lts. of mixture with ( 37,5 + 10 = 47,5) lts. of water and 12,5 lts. of lemon juice
Final mixture is
60 lts. of mixture with 47,5 lts. of water and 12,5 lts. of lemon juice
Proportion
Lemon juice / water = 12,5 / 47,5 or 26,32 %
The Family Arts Center charges $22 for adults, $13 for senior citizens, and $5 for children for their live performance on Sunday afternoon. This past Sunday, there paid revenue was $8526 for 670 tickets sold. There were 49 more children than adults. How many children attended. A 205 B 247 C 208 D 257
Answer:
257
Step-by-step explanation:
Let the number of Adults = x
Number of senior citizens = y
Number of children = z
x + y + z = 670 tickets
The Family Arts Center charges $22 for adults, $13 for senior citizens, and $5 for children for their live performance on Sunday afternoon.
$22 × x + $13 × y + $5 × z = $8526
22x + 13y + 5z = 8526
There were 49 more children than adults.
z = x + 49
x + y + z = 670 tickets
x + y + x + 49 = 670
2x + 49 + y = 670
y = 670 - 2x - 49
We substitute
22x + 13y + 5z = 8526
22x + 13(670 - 2x - 49) + 5(x + 49) = 8526
22x + 8710 - 26x - 637 + 5x +245 = 8526
22x + 5x - 26x + 8710 - 637 + 245 = 8526
x + 8318 = 8526
x = 8526 - 8318
x = 208
The number of Adults = 208
The number rod children is calculated as:
z = x + 49
z = 208 + 49
z = 257
The number of children = 257
Planet Earth has an approximate diameter of 1.2742 · 10 10 millimeters. The sun has a diameter of 1.391 · 10 6 kilometers. Part I: Given that for every one kilometer there are 1,000,000 millimeters, which unit of measurement should be used to best represent the lengths of the sun and Earth's diameters? Part II: Approximate how many times greater the sun's diameter is than planet Earth's.
Answer:
Part 1:
Due to these magnitudes are too big, it is better to use km as a unit of diameter measurement.
Part 2:
The diameter of the sun is approximately 109 times the diameter of the earth.
Step-by-step explanation:
Part 1:
Due to these magnitudes are too big, it is better to use km as a unit of diameter measurement.
So we can rewrite the diameter of the Earth in terms of km, knowing that 1 km = 1000000 mm.
[tex]D_{E}=1.2742\times 10^{10}mm*\frac{1km}{1000000mm}=1.2742\times 10^{4} km[/tex]
Part 2:
We can divide each diameter to find the relation between them.
[tex]\frac{D_{S}}{D_{E}}=\frac{1.391\times 10^{6} km}{1.2742\times 10^{4} km}=109.2[/tex]
Therefore the diameter of the sun is approximately 109 times the diameter of the earth.
I hope it helps you!
how long will it take a ball to roll 10 meters along the floor at a velocity of 0.5 m/s
Please helppp
27x+2=2x+27
I need help now
Answer:
x=1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
A culture of bacteria triples by the end of each hour, if there were initially 40 bacteria, how many bacteria should there be after 8 hours?
Answer:
262, 440
Step-by-step explanation:
40 x 3^8
40 x 6561
262, 440
-1.25(2.5)
what is the answer to this i need help really bad it’s for a test
Answer: -3.125
Step-by-step explanation: -1.25 x 2.5 = -3.125.
How do I solve this?
Answer:
I can't see it.
Step-by-step explanation:
Find the distance between the points with the given coordinates.√ (copy and paste the radical if necessary, no decimals)
(5, 14) and (−3, −9)
Answer:
[tex]d=\sqrt{593}[/tex]
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
We are given the points (5, 14) and (−3, −9). Substituting into the formula:
[tex]d=\sqrt{(-9-14)^2+(-3-5)^2}[/tex]
[tex]d=\sqrt{(-23)^2+(-8)^2}[/tex]
[tex]d=\sqrt{529+64}[/tex]
[tex]\boxed{d=\sqrt{593}}[/tex]
The price for 3 pounds of apples is $3.99. What is the unit rate?
Answer:
the unit rate is 1.33$ per pound of apples
Step-by-step explanation:
you can rewrite the word problem as
3x = 3.99.
now just divide both sides by 3.
3x / 3 = 3.99/3
x = 1.33
The model shows the expression 20 + 16.
Which expression is equivalent to this sum?
O4(5) + 4
4+5+4
O4(5+4)
5(4+4)
Answer:
4 (5 + 4)Step-by-step explanation:
20 + 16
= 4 (5 + 4)
= 4(5) + 4(4)
= 20 + 16
therefore, the answer is 4 (5 + 4)
Solve.
x^2 - 5x - 8 = 0
The values of x are : 6.27 and -1.27
Solve for b:4 = -2/3(5) + b
Answer:
[tex]\frac{22}{3}[/tex] = b
or
7[tex]\frac{1}{3}[/tex] = b
(they are the same value, just different ways of writing it)
Step-by-step explanation:
4 = -[tex]\frac{2}{3}[/tex] (5) + b
simplify
4 = -[tex]\frac{10}{3}[/tex] + b
now use inverse operations
4 = -[tex]\frac{10}{3}[/tex] + b
+[tex]\frac{10}{3}[/tex] +[tex]\frac{10}{3}[/tex]
[tex]\frac{22}{3}[/tex] = b
The graph shows the distance covered by a runner after a given number of hours.
The runner travels
miles in 2 hours
Answer:
1. The runner travels 8 miles in 2 hours
2. The runner's speed is 4 miles per hour
Step-by-step explanation:
EDG 2020
The runner travels 10 miles in 2 hours.
From the graph determine how much distance travel by runner in 2 hours.
The graph is a demonstration of curves which gives the relationship between x and y axis.
Question seems to be incomplete. Here is the assumed data, from graph.
x (time) in hours = 1 2 3 4 5
y (distance) in miles = 5 10 15 20 25
Here, from data runner travels 10 miles in 2 hours.
Thus, the runner travels 10 miles in 2 hours.
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Can someone plz help me
Answer:
for the first one rule x6-3:
4=21, 8=45, 5=27, 9=51, 7=39, and 10=57
For the next one:
1=2, 2=4, 3=6, 6=12, 9=18, and 10=20
Step-by-step explanation:
Okayy! Done! The first number is input, the second number is output. So first you have 2 times 4 divided by 2! 3 times 4 divided by 2. Just follow the rule.
Which numerical expression represents the value (in cents) of 12 dimes?
a. 5 · 12
b. 10 · 12
c. 10 + 12
d. 12 10
Which of the following functions best describes this graph?
A: y=x²-5x+6
B: y=(x-1)(x-1)
C: y=(x-3)(x+1)
D: y=x²-x+5
Answer:
the answer is B hope this helps
Function y=(x-1)(x-1) satisfy the condition for the given graph.
What is function?A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
According to given graph,
At x =0, the value of y = 1,
So substitute x = 0 in the given options,
Which option gives y = 1 will be correct option.
(A)
y = x² - 5x + 6
y = 0 -5x0 + 6
y = 6
(B)
y = (x-1) (x-1)
y = (0-1)x (0 - 1)
y = 1
(C)
y=(x-3) (x+1)
y = (0-3)x(0+1)
y = -3
(D)
y = x² -x + 5
y = 0 - 0 + 5
y = 5
Option (B) is the correct option.
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Convert 91 centimeters into meters?
Answer: 0.91
Step-by-step explanation: im hungry
1. add negative fraction with positive fraction
-7/8 + 1/4 = ?
2. add negative decimal with positive decimal
-12/5 + 15.3 = ?
Given parameters:
1. [tex]-\frac{7}{8} + \frac{1}{4}[/tex]
[tex]-\frac{7}{8} + \frac{1}{4}[/tex]; find the LCM = 8
= [tex]\frac{-7 + 2 }{8}[/tex]
= [tex]\frac{-5}{8}[/tex]
2. [tex]-\frac{12}{5} + 15.3[/tex]
Make the fraction decimal;
[tex]-\frac{12}{5}[/tex] = -2.4
So;
-2.4 + 15.3 = 12.9
