Answer:
x=7∠GBD=112∠EFC=112Step-by-step explanation:
Here, we need to know about the concept of the alternate interior angle theorem. This says that the alternate interior angle of two parallel lines formed with one transversal is equal. For a more graphical explanation, please refer to the attachment below.
--------------------------------------------------------------------------
Given
∠GBD=4x+84
∠EFC=16x
m∠GBD=m∠EFC
Solve
4x+84=16x ⇔ Given
4x+84-4x=16x-4x ⇔ Subtract 4x on both sides
84=12x ⇔ Simplify
84/12=12x/12 ⇔ Divide 12 on both sides
x=7 ⇔ Simplify
Substitute the x value into each angle expression
∠GBD=4x+84=4(7)+84=28+84=112
∠EFC=16x=16(7)=112
Hope this helps!! :)
Please let me know if you have any questions
Question is in image
The radius of the spherical part is 3 inches and the length of the tube is 21 cm.
What is the volume of a cylinder?The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.
Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.
The two equations can be formed as below:-
4554 / 7 = πr²l + (2/3)πr³
396 = πr²( l - 9 ) + (2/3)πr³
Subtract the second equation from the first,
( 4554 / 7 ) - 396 = 9πr²
9πr² = 254.5
r² = 9
r = 3 cm
The length will be calculated as:-
4554 / 7 = πr²l + (2/3)πr³
4554 / 7 = π( 3 )²l + (2/3)π(3)³
l = 21 cm
Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.
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find a number if 0.7 of it is 3.43.
- Colin invests £1100 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
Answer:
it is 1265 ?!?!?!!?!?!!?
Step-by-step explanation:
work out
Hi if anyone is active can you tell me how to find the distance i’m kind of struggling in the unit of math:(
Find the distance between: -14.5 and 13
Answer:
I'm not sure :(
Step-by-step explanation:
I'm sorry
Quadrilateral ABCD is similar to Quadrilateral WXYZ.
1) What is the scale factor using ABCD as the pre-image?
2) What is mZC?
3) What is mZZ?
4) What is AD?
Scale factor=
-10
m/XYZ =$7.47*
XY = 2.5 units
10
m B 5 units
N
0
B
Ws
A
WZ 3 units
D
m/CDA 75.96*
10
Answer:
Step-by-step explanation:
ur mom
76. 6 25. 5 10. 87 =
What wa Sela' etimate and what i the actual um of the number?
The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.
To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.
76 rounds to 80 since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5
So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230
To find the actual sum of the numbers, we simply add them together without rounding:
76 + 6 + 25 + 5 + 10 + 87 = 209
The complete question is: 76. 6 25. 5 10. 87 =
What was Sela's estimate and what is the actual sum of the number?
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Question 6
How do the measures of the anges of polygon ABCD compare with those of the translated images? Based on your observation, what can you
condude about preservation of angle measurements during a translation?
Answer:
The measures of the angles of polygon ABCD are equal to the measures of the corresponding angles of both translated images. This means that the angles of the polygon are preserved as the figure is translated in any direction.
Step-by-step explanation:
Answer:
The measures of the interior angles of polygon ABCD are equal to the measures of the corresponding angles in the reflected image. This means that angle measurements of the polygon are preserved as the image is reflected. The same is true for the side lengths. The measures of both angles and sides are preserved in a reflection. A reflection is a rigid transformation.
Step-by-step explanation:
plato
Which equation can be used to find the value of x?
Answer:
\(x=5.24\tan 41^{\circ}\)
Step-by-step explanation:
\(\tan 41^{\circ}=\frac{x}{5.24} \\ \\ x=5.24\tan 41^{\circ}\)
Find mzS. It’s geometry I need help
Answer:
151
Step-by-step explanation:
So you have to start by finding the total number of degrees inside the shape. The shape has 5 sides.
So using this formula:
(n-2) * 180
(5-2) * 180
= 540 degrees inside the shape
Then solve for x.
5x +2 + 10x - 3 + 8x -19 + 13x - 31 + 7x -11 = 540
43x -62 = 540
43x = 602
x = 14
Plug in for S.
13 (14) -31
151
can someone help me? help help
there's the picture of the exercise
thank you
Answer:
a = F/m
Step-by-step explanation:
its just basic math, just need to isolate the a
since a is being multiplied by m
ma
divide m from both side
F/m = a
I just wanna make sure i’m doing this right
Answer:
175%
Step-by-step explanation:
The first one is a whole=1
the second one is cut in four but only 3 are shaded so 1/4=0.25 0.25*3=0.75
3/4/0.75 is shaded
so 1+0.75=1.75
1.75=175%
the perimeter of a square with side length $x$ units is equal to the circumference of a circle with radius 2 units. what is the value of $x$? express your answer as a decimal to the nearest hundredth.
The value of $×$ is 3.14 units
What is perimeter ?Perimeter is the distance around the edge of a shape. The algebraic sum of the length of each side is the perimeter of that shape. We have formulas available for the various shapes in geometry.
The perimeter of a square is expressed as 4l
The circumference of a circle = 2πr
This means that;
4l = 2πr
4l = 2× 3.142 × 2
4l = 12.57
divide both sides by 4
l = 12.57/4
l = 3.14 units(nearest hundredth)
therefore the value of the side length is 3.14 units
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find the smaller number of two consecutive odd numbers such that the sum of the larger numbers and twice the smaller number is 27 less than four times the smaller number
Answer: 29
Step-by-step explanation:
Let the smaller number be x
Let the bigger number be x+2
The information given in the question can be represented in a equation as:
x + 2 + 2x = 4x - 27
3x + 2 = 4x - 27
4x - 3x = 27 + 2
x = 29
The smaller number is 29
What is the slope of the line?
Can somebody help me please.
What is the solution to the equation
X/6 = 4/12
X=1
x= 2
x=4
x = 6
Answer:
x = 2
because we have the same question and i got it right its hard to explain but trust me its x = 2
The solution to the given equation is 2. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is x/6 = 4/12.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, x/6 = 4/12
By cross multiplication, we get
12x=24
⇒ x=2
The solution to the given equation is 2. Therefore, option B is the correct answer.
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Blood Pressure Several research papers use a sinusoidal
graph to model blood pressure. Assuming that a person's heart beats 70 times per minute, the blood pressure P of an individual after seconds can be modeled by the function
P(t)= 20 sin +100(a) In the interval [0, 1], determine the times at which the blood pressure is 100 mmHg.
(b) In the interval [0, 1], determine the times at which the blood pressure is 120 mmHg.
(c) In the interval [0, 1], determine the times at which the blood pressure is between 100 and 105 mmHg.
(a) The times at which the blood pressure is 100 mmHg are t = 0 and t = 1/70.
b) The time at which the blood pressure is 120 mmHg is t = 1/140.
c)The times at which the blood pressure is between 100 and 105 mmHg are t = arcsin(1/4)/70π and t = 1 - arcsin(1/4)/70π
(a) To determine the times at which the blood pressure is 100 mmHg in the interval [0, 1], we need to find the values of t that satisfy the equation P(t) = 100:
100 = 20 sin(70πt) + 100
0 = 20 sin(70πt)
sin(70πt) = 0
70πt = nπ, where n is an integer
t = n/70
In the interval [0, 1], the possible values of n are 0 and 1. Therefore, the times at which the blood pressure is 100 mmHg are t = 0 and t = 1/70.
(b) To determine the times at which the blood pressure is 120 mmHg in the interval [0, 1], we need to find the values of t that satisfy the equation P(t) = 120:
120 = 20 sin(70πt) + 100
20 = 20 sin(70πt)
sin(70πt) = 1
70πt = (2n+1)π/2, where n is an integer
t = (2n+1)/140
In the interval [0, 1], the possible value of n is 0. Therefore, the time at which the blood pressure is 120 mmHg is t = 1/140.
(c) To determine the times at which the blood pressure is between 100 and 105 mmHg in the interval [0, 1], we need to find the values of t that satisfy the inequality 100 < P(t) < 105:
100 < 20 sin(70πt) + 100 < 105
0 < 20 sin(70πt) < 5
0 < sin(70πt) < 1/4
Since sin(70πt) is positive and less than 1/4 in the interval [0, 1], we need to find the values of t that satisfy the equation sin(70πt) = 1/4:
sin(70πt) = 1/4
70πt = arcsin(1/4)
t = arcsin(1/4)/70π
The times at which the blood pressure is between 100 and 105 mmHg are t = arcsin(1/4)/70π and t = 1 - arcsin(1/4)/70π.
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Find the values of theta. Explain how you found your answer or upload a picture showing your work.
Answer:
Step-by-step explanation:
\(\frac{\pi }{3}\) and \(\frac{2\pi }{3}\)
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'. Write a proportion that would have to be true, involving the side lengths of the quadrilaterals
(Hint: use the / key to get fractions!)
The true proportion of the side lengths of the quadrilaterals is A'B'/AB
How to determine the true proportion of the quadrilaterals?From the question, we have the following parameters that can be used in our computation:
Quadrilaterals ABCD and A'B'C'D
These quadrilaterals are similar
So, it means that the corresponding side lengths are proportional
So. we have
Side length = AB
Corresponding side length = A'B'
The true proportion is then represented as
k = Corresponding side length/Side length
Substitute the known values in the above equation, so, we have the following representation
k = A'B'/AB
Hence, the proportion is A'B'/AB
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I neep help asap deadline 4:00pm
Answer: B each charm costs 15 dollars
Step-by-step explanation: because each money increment is 15$ so the answer is $15
~Brainliest would be appreciated
7 special right triangles
Answer:
B
Step-by-step explanation:
you're gonna have to use the rules of trigonometry.
so you have all the angles(the other angle on the top is 45 degrees as well) and one of the sides.
let's use the far left angle, 45 degrees, as our main angle. we know the adjacent side, 7√2 / 2, but we want to find the hypotenuse and the opposite side. we can actually find the opposite side very easily. you see, in a right triangle, where the non-right angles are both the same degree, you will know that the sides adjacent to the right angle are equal. so, we can cross our options of A, C, and D off. we know now that the answer is B.
I need help ASAP please
h(x)=3x-4
Now
\(\\ \bull\sf\dashrightarrow h(-4)=3(-4)-4=-12-4=-16\)
\(\\ \bull\sf\dashrightarrow h(-3)=3(-3)-4=-9-4=-13\)
\(\\ \bull\sf\dashrightarrow h(2)=3(2)-4=6-4=2\)
\(\\ \bull\sf\dashrightarrow h(3)=3(3)-4=9-4=5\)
\(\\ \bull\sf\dashrightarrow h(5)=3(5)-4=15-4=11\)
Answer:
Solution given:
h(x)=3x-4
h(-4)=3*-4-4=-12-4=-16
h(-3)=3*-3-4=9-4=5
h(2)=3*2-4=2
h(3)=3*3-4=5
h(5)=3*5-4=11
I need help im bad at math
Answer: 243
Step-by-step explanation:
If you divide the 18 inch by two to get the r, you will get 9. So you should multiple the 3 and the 9 square. So it should be 3x81=243
There is a ratio of 5 girls to 3 boys in the chorus. There are 24 boys in the chorus. How. many girls are in the chorus?
Answer: 40
Step-by-step explanation:
5/3 24/?
divided by 8 =24 divided by 8 =3
5 x 8 =40
Hope this helps :)
Answer:
40 girls
Step-by-step explanation:
A hotel manager ordered an equal number of bagels and muffins to serve to her customers for breakfast. Bagels came in packages of 6, and
muffins came in packages of 10. What was the LEAST number of packages of bagels and muffins the manager could have ordered?
2 packages of bagels and 2 packages of muffins
4 packages of bagels and 2 packages of muffins
5 packages of bagels and 3 packages of muffins
10 packages of bagels and 6 packages of muffins
Answer:
5 packages of bagels and 3 packages of muffins
Step-by-step explanation:
3 packages of muffins would be 30 muffins and 5 packages of bagels would be 30 bagels because 6x5=30
Answer: 5 packages of bagels and 3 packages of muffins
Step-by-step explanation: to esy
HAZUS-MH does not provide average annualized loss and probabilistic results from hazard models. True False
True; HAZUS-MH does not provide average annualized loss and probabilistic results directly from hazard models.
HAZUS-MH (Hazards U.S. Multi-Hazard) is a software tool developed by the Federal Emergency Management Agency (FEMA) in the United States. It is designed to assist in assessing and estimating potential losses from natural hazards such as earthquakes, floods, hurricanes, and tsunamis.
While HAZUS-MH provides valuable information for estimating potential losses and understanding the impacts of hazards, it does not provide average annualized loss and probabilistic results directly from hazard models. HAZUS-MH utilizes a methodology based on deterministic analysis, which means it calculates losses based on a specific scenario or event rather than probabilistic modeling that considers multiple possible scenarios and their associated probabilities.
To obtain average annualized loss and probabilistic results, additional tools and methodologies such as PML (Probable Maximum Loss) studies or specialized probabilistic modeling software may be required. These tools take into account various parameters, such as hazard probabilities, exposure data, vulnerability assessments, and loss functions, to provide a more comprehensive analysis of risk and potential losses over time.
HAZUS-MH does not provide average annualized loss and probabilistic results directly from hazard models. While it offers valuable insights into potential losses from natural hazards, more advanced probabilistic modeling tools are necessary to obtain comprehensive and probabilistic risk assessments.
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1. what is the height of the cone? Explain how you found the height.
2. Now that you have the height of the cone, how can you solve for the slant height, s?
3. Now that you have the height of the cone, how can you solve for the slant height, s?
1. The height of the cone is equal to
2. You can solve for the slant height, s by applying Pythagorean's theorem.
3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.
How to calculate the volume of a cone?In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:
Volume of cone, V = 1/3 × πr²h
Where:
V represent the volume of a cone.h represents the height.r represents the radius.By substituting the given parameters into the formula for the volume of a cone, we have the following;
8792 = 1/3 × 3.14 × 20² × h
26,376 = 3.14 × 400 × h
Height, h = 26,376/1,256
Height, h = 21 mm.
Question 2.
In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.
Question 3.
By applying Pythagorean's theorem, we have the following:
r² + h² = s²
20² + 21² = s²
400 + 441 = s²
s² = 841
Slant height, s = √841
Slant height, s = 29 mm.
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. Your family ate 6 out of 8 pieces of a pizza. Tell
how to express the amount they ate and the
amount leftover as two fractions. Be sure to
write the fractions in simplest form.
Answer:
\( \frac{6}{8} \\ \\ \\ \frac{2}{8} \)
What is the value of x in this triangle?
Answer:
65
Step-by-step explanation:
Triangles are 180 degrees in total. If you add the degrees that are known, 62 and 53, you get 115. Then you would do 180-115, which is 65. 65 would be the value of x. Hope this helps!
6. If WXYZ is a square with WZ = 27, find each measure.
X
a) ZY =
b) WY =
c) RX =
d) m2 WRZ
e) mZXYZ -
f) mZZWY =
z