Answer:
It is congruent to Angle A P C
Step-by-step explanation:
Vertical angles are the angles opposite each other when two lines cross. They are always congruent.
In this problem we have that
-----> by vertical angles
see the attached figure to better understand the problem
therefore
It is congruent to Angle A P C
The True statement about <CPB is It is supplementary to angle APC.
The correct option is (B).
What is Supplementary Angle?In mathematics, the definition of supplementary relates to angles that combine to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles. If two angles complement one another
It has an acute angle on one side and an obtuse angle on the other.The two angles are both right angles.The two angles do not have to be adjacent to form a straight line.As, when two angles that when added together equal 180 degrees is Supplementary Angle.
From the figure if we add <CPB and <APC forms the straight line gives the angle 180 degree.
i.e., <CPB + <APC = 180
or, <CPC= 180- <APC
So, <CPB is supplementary to angle APC.
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Choose a fraction that makes the following sentence true. 0.1
is a rational number because it can be written as -
0.1
o
The fraction that makes the statement true is 1/10.
The sentence would be: "0.1 is a rational number because it can be written as 1/10."
The statement "0.1 is a rational number because it can be written as 0.1" is not accurate.
The decimal 0.1 is already a rational number because it can be expressed as the fraction 1/10.
Therefore, the correct sentence would be:
"0.1 is a rational number because it can be written as 1/10."
Question
Choose a fraction that makes the following sentence true. 0.1 is a rational number because it can be written as 0.1
As part of an experiment, 500 milligrams of chlorine is added to a tank each day for 60 days.
How many grams of chlorine is added to the tank in 60 days?
Enter your answer as a whole number or decimal in the box.
sorry i have another question
Answer:
30 grams
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
__________ and other cash crops are grown on the fertile lands of Mt. Kilimanjaro’s slopes.
A.
Oranges
B.
Rice
C.
Coffee
D.
Maize
Please select the best answer from the choices provided
A
B
C
D
Answer:
Coffee doing it rn
Step-by-step explanation:
Which of the following equations has only one solution?
x2 - 8x + 16 = 0
x(x - 1) = 8
x2 = 16
Answer:
none
Step-by-step explanation:
Please help me with this question
Answer:
x = 20.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 55 = 29 /x
Multiply each side by x
x tan 55 = 29
Divide by tan 55
x = 29 / tan 55
x =20.30601861
To the nearest tenth
x = 20.3
Help help help me please
Answer:
[tex]A[/tex] ≈ [tex]80.03[/tex]
Step-by-step explanation:
I used the equation [tex]A=[/tex] π[tex]r(r+h^{2}+r^{2})[/tex] to find the surface area
i hope this helps
What is the interquartile range of this data? a5 b8 c13 d17
0 5 10 15 20
Fatima opens an account with 1300 that earns 3.5% interest, compounded monthly. How long will it take the account value to be $2500?
Answer:
The formula to calculate the account value in future (compounded monthly):
A = Principal x (1 + rate/12)^(month)
=> 2500 = 1300 x (1 + (3.5/100)/12)^(month)
=> (1 + 0.00291)^(month) = 2500/1300
=> 1.00291^(month) = 1.923
=> month = log(1.923)/log(1.00291) = 225
=> It will take 225 months to have 2500 dollar in account.
Hope this helps!
:)
What is the mean absolute deviation of the data set? 8, 5, 12, 4, 5, 8, 7 1 2 5 7
The mean absolute deviation (MAD) is a measure of the spread of a data set, calculated as the average of the absolute deviations of each data point from the data set's mean. For the given data set, the MAD is approximately 2.42.
The mean absolute deviation (MAD) of a data set is a measure of variability that represents the average difference between each data point and the mean of the data set. To calculate MAD, follow these steps:
Calculate the mean (average) of the data set.Calculate the deviation of each measurement, which is the absolute value of the difference between each measurement and the mean.Sum all the absolute deviations.Divide the sum by the number of data points in the data set to get the MAD.For the data set 8, 5, 12, 4, 5, 8, 7, 1, 2, 5, 7, the mean is 5.8 (sum of all numbers divided by the number of numbers). Here are the deviations from the mean:
|8 - 5.8| = 2.2|5 - 5.8| = 0.8|12 - 5.8| = 6.2|4 - 5.8| = 1.8|5 - 5.8| = 0.8|8 - 5.8| = 2.2|7 - 5.8| = 1.2|1 - 5.8| = 4.8|2 - 5.8| = 3.8|5 - 5.8| = 0.8|7 - 5.8| = 1.2Summing all the absolute deviations gives us 26.6. With 11 data points, the MAD is 26.6 / 11 = 2.42.
The length of a rectangle is 8 centimetres less than its width. What are the dimensions of the rectangle if its area is 240 square centimetres?
Answer:
Well, Your best answer will be is 35.
Here's a Explain.
W-5=0
W=5 That's for the width.
L=3*5-8
L=15-8=7 And, That's for the length.
Here's proof.
35=7*5
35=35
Hope That Helps!~
[tex]^{Itsbrazts}[/tex]
Which is a factor pair of 72?
12,6
14,5
23,4
24, 2
Answer:
12,6
Step-by-step explanation:
The factor pair of 72 is 12 and 6 because, factors are the 2 numbers you multiply together to get the product. In this case, the product is 72. 12x6=72 So therefore, 12 and 6 are the factors of 72. You can figure this out simply by multiplying 12 and 6 together.
The factor pairs of 72 are (1,72), (2,36), (3,24), (4,18), and (6,12).
Explanation:To find the factor pairs of 72, we need to find pairs of numbers that multiply together to give us 72. Let's list all the factors of 72 and check which pairs multiply to give us 72:
1 x 72 = 722 x 36 = 723 x 24 = 724 x 18 = 726 x 12 = 72So, the factor pairs of 72 are (1, 72), (2, 36), (3, 24), (4, 18), and (6, 12).
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The gas tank in Feliz's car is full. Each time he drives to or from work, he uses 1 of a full
tank of gas. Which equation represents the number of times Feliz can drive to or from work
with the gas in his tank?
Answer: number of times feliz can drive to or from work with the gas in his tank is 10 times
Step-by-step explanation:
Let's start by reviewing the slope-intercept formula:
y = mx + b
At the start of the journey, we have a tank that's 5/6 full and have yet to go anywhere. That means that our b is 5/6.
Thus:
y = mx + 5/6
Now, every time he drives to or from work, be loses 1/12 of a full tank.
Thus;
y = -(1/12)x + 5/6
negative because the initial volume of gas is decreasing whenever he goes out.
Now, to get the number of times feliz can drive to or from work with the gas in his tank, y = 0.
Thus,
0 = -(1/12)x + 5/6
Add (1/12)x to both sides to give;
(1/12)x = 5/6
x = 5/6 ÷ 1/12
x = 10
The volume of a cube is 27 cubic inches. Which expression represents s, the length of a side of the cube? Recall the formula Cube volume = s cubed.
The expression that represents the length of a side of the cube should be S= 3 times 3 times 3
Calculation of the expression:Since The volume of a cube is 27 cubic inches.
Here we know that
The volume is the cube of the side is [tex]side^3[/tex]
So basically 3 sides should be multiplied to determine the volume.
Hence, we can conclude that The expression that represents the length of a side of the cube should be S= 3 times 3 times 3
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what times what times what equals 19,248.832
Do you mean the square root? That is what I am going to answer here.
138.7401600114401 is the square root
I hope this helps.
Answer:
2 · 9,624.416
Step-by-step explanation:
19,248.832 ÷ 2 =
9,624.416
175% of a number is 91 what is the number?
Answer:
I got 159.25. I hope this helps.
3 parts: List the ratios for using angle A as the angle of reference reduce when necessary
Sin A= Cos A= Tan A=
Answer:
[tex]\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20[/tex]
Step-by-step explanation:
The sine of an angle in a right triangle is the ratio of the side across from the angle with the hypotenuse of the triangle (the hypotenuse is the side across from the right angle). In this case, the sine of angle A, shortened to [tex]\sin{A}[/tex], is [tex]21/29[/tex].
Cosine is short for "complementary sine." If the angles A + C = 90, the cosine of A is equal to the sine of C, since A and C are complementary. So [tex]\cos{A}=\sin{C}=20/29[/tex]. Notice that this ratio is the same as the ratio of the side adjacent to angle A (AB), to the hypotenuse.
The tangent is the ratio of the side opposite an angle to the side adjacent to it. Here, [tex]\tan{A}=21/20[/tex]. So, our trig ratios for this angle are
[tex]\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20[/tex]
300 dollars per week equals to how many hours of work?
Answer:
= 168 hrs of work
Step-by-step explanation:
I week = 7 days
If 1 day = 24hrs
What about 7 days = ?
= 7 x 24
= 168 hrs of work
To get how much he gets per hour, you divide 300 by the number of hours
= 300 ÷ 168
= 1.785
= 1 dollar 79 cents
What is 5 7/12 minus 3 11/22
Answer:
5/3 or 1.66666666 or 1 2/3
Step-by-step explanation:
Subtract like normal
Look at the attached picture
Hope it will help you...
Answer soon please will give brainiest.
Evaluate.
4C2 =
Answer:
6
Step-by-step explanation:
₄C₂ means that we're trying to see how many ways we can pick 2 things out of a group of 4. We have 4 options for our first pick and 3 for our second, so that gives us a total of 4 · 3 = 12 ways of choosing.
Now, the "C" in ₄C₂ is short for "combinations." Order doesn't matter where combinations are concerned. Let's say the set we're choosing from is the set of the letters A, B, C, and D. Here are all the ways we can choose two different letters from that list:
AB, AC, AD, BA, BC, BD, CA, CB, CD, DA, DB, DC
Notice that, for each pair, we have another in the set that contains the same letters: AB and BA, AC and CA, BD and DB... If order doesn't matter, we can cut all of those second pairs, giving us 12 / 2 = 6 total combinations.
If the APR of a savings account is 4.8% and interest is compounded monthly,
what is the approximate APY of the account?
O A. 1.05%
O B. 10.49%
O C. 4.91%
O D. 4%
Answer:
C. 4.91%
Step-by-step explanation:
The effect of frequent compounding is to increase the nominal interest rate by a small factor. For interest rates in a practical range (<20%/year), the effective increase in rate will be approximately half the original interest rate.
ApproximationFor an interest rate of 4.8%, we expect the compounding to increase it by less than 2.4%. The maximum effective rate due to compounding is approximately (4.8%)(1 +2.4%) ≈ 4.91%.
Exact computationFor nominal annual rate r compounded n times per year, the effective annual rate is ...
r' = (1 +r/n)^n -1
For r = 0.048 and n = 12, this becomes ...
r' = (1 +0.048/12)^12 -1 = 1.004^12 -1 ≈ 1.049070208 -1 ≈ 4.91%
__
Additional comment
After you have worked with interest compounding for a bit, you realize compounding increases the effective rate by a small amount. That means the value will be more than 4.8% (eliminating choices A and D), but certainly will not be as high as 10% (eliminating choice B). The only reasonable choice is C, which happens to be the correct one.
Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 120.
A rectangle has a width of x and a length of x plus 4.
Answer:
Inequality : 4x+8 < 120
x<28
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Perimeter of a rectangle (P)= 2 length +2 width
Where:
Width = x
Length = x+4
Replacing with the values given
P = 2 (x+4) + 2x
P = 2x+8+2x
P=4x+8
Since the perimeter of the rectangle must be less than 120:
4x+8 < 120
Solving for x
4x<120-8
4x<112
x<112/4
x<28
Feel free to ask for more if needed or if you did not understand something.
To find the values of x for which the perimeter of a rectangle is less than 120, you would solve the equation 2*(x + (x+4)) < 120. After simplifying and solving, the result is x < 28.
Explanation:In this problem, you are asked to find the values of x for which the perimeter of a rectangle is less than 120. The rectangle has width of x and a length of x plus 4.
The perimeter of a rectangle is defined as 2*(length + width). Plugging the lengths in for our rectangle, we get 2*(x + (x+4)) < 120. Simplifying this inequality gives 2*(2x + 4) < 120
From there, you want to distribute the 2 across the equation, which gives 4x + 8 < 120. Subtract 8 from both sides to get 4x < 112, and then divide both sides by 4 to find x < 28. So, the possible values of x are those less than 28.
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An above-ground rainwater tank is rectangular and has a length of 15
feet and a height of 2 feet. It will hold 375 cubic feet of water. What is the
height of the rainwater tank?
Answer:
The width of the tank is 12.5 feet
Step-by-step explanation:
We need to find the width, not height of the rainwater tank, since the height is already given.
The volume of a rectangular prism is given as:
V = L * W * H
where L = length of the tank
W = width of tank
H = height of tank
We have its volume as 375 cubic feet and the length, L, as 15 feet and height, H, as 2 feet.
Therefore, its width is:
375 = 15 * W * 2
375 = 30W
=> W = 375 / 30
W = 12.5 feet
The width of the tank is 12.5 feet.
Determine the angle at the centre of a circle with a radius of 8.0 cm for an arc length of 12.0 cm.
A. 2/3 radians
B. 1/3 radians
C. 3/2 radians
D. 3π / 2 radians
Answer:
C. 3/2 Radians
Step-by-step explanation:
As we know, a radian is defined as "the angle enclosed by an arc equal to the radius", or some variant of such.
This means 1 radian in this circle would have an arc length of 8cm.
Simple proportions should get you an answer:
[tex] \frac{1 \: radians}{8cm} = \frac{x \: radians}{12cm} \\ 8x = 12 \\ x = \frac{12}{8} \\ x = \frac{3}{2} [/tex]
PLEASE ANSWER I REALLY NEED IT ASAP (30points) ZOOM IN TO SEE IT BETTER
Answer:
x = 1 ; x = 8
Step-by-step explanation:
6x² - 5x + 10 = 5x² + 4x + 2
x² - 9x + 8 = 0
x² - 8x - x + 8 = 0
x(x - 8) - (x -8) = 0
(x - 8)(x - 1) = 0
x = 1, x = 8
Answer:
x=8 x=1
Step-by-step explanation:
f(x) = g(x)
6x^2 -5x +10 = 5x^2 +4x+2
Subtract 5x^2 from each side
6x^2-5x^2 -5x +10 = 5x^2-5x^2 +4x+2
x^2 -5x +10 = 4x+2
Subtract 4x from each side
x^2 -5x-4x +10 = 4x-4x+2
x^2 -9x +10 = 2
Subtract 2 from each side
x^2 -9x +10-2 = 2-2
x^2 -9x +8 =0
Factor
What 2 numbers multiply to 8 and add to -9
-8 *-1 = 8
-8-1 = -9
(x-8) (x-1) =0
Using the zero product property
x-8 = 0 x-1 =0
x=8 x=1
Where can I find Gradpoint answers?????
Solve the equation:
3c=123c=12
select all that apply.
Answer:
1st, 3rd, and 4th options
In a 45-45-90 rìght triangle, what is the ratio of the length of one leg to the
length of the other leg?
Answer:
The legs of a 45 45 90 are equal
And the length of the hypotenuse equals
leg * square toot of 2
Step-by-step explanation:
You have a rectangular garden that is 10 feet
wide and 15 feet long. You want to increase
the garden so that each side is twice as long
as they are now.
a. What will be the area of the
new garden?
b. Will the area of the new garden be
twice as large as it is now? Explain.
a. If you double both sides, you'll get a rectangle with dimensions 20 feet wide and 30 feet long, therefore the area will be 20 × 30 = 600 feet².
b. The area of the old rectangle was 10 × 15 = 150 feet², so no the area is not twice as large, it is 4 times as large. This is because if the area is base × height, then doubling both of these gets you (2 × base) × (2 × height) = 4 × (base × height).
I hope this helps!
Help meee !!!!!
Brainliest!!!
Answer:
The aswer is D
Step-by-step explanation: