Answer:
radius of the hemisphere = 9 cm approx
Step-by-step explanation:
Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]
1527.4 = [tex]\frac{2}{3} * \frac{22}{7} * r^{3}[/tex]
[tex]\frac{7*15274*3}{2*22*10}[/tex] = [tex]r^{3}[/tex]
[tex]\frac{320754}{440}[/tex] = [tex]r^{3}[/tex]
[tex]r^{3}[/tex] = 729
r = [tex]\sqrt[3]{729}[/tex]
r = 9 cm approx.
Which of the following statements follows from (x - 3)2 = 7?
Answer:
x = 17
Step-by-step explanation:
(x-3)2 = 7
Divide both sides by two
(x-3)2 = 7
2 2
x-3= 31/2
x= 31/2-3
x= 1/2 or 0.5
Work out the mean for the data set below:
603,607
Helpppp
Graph the quadratic function y 9x Ox 140. What are the solutions of the quadratic equation 0 - 0 - 6x
140?
Answer:
Answer:bf
Step-by-step explanation:
help on this question please! also if you can kindly explain it would be very much appreciated!!
Answer:
D. 50°
Step-by-step explanation:
We know that there are 3 line segments that are forming the angles. Based on that, we can safely say that each line segment is 180°. Given that, we can find the other 2 interior angles of the triangle. We know that one of the exterior angles is 90° so that interior angle also has to be 90° because both angles have to sum to 180. The 2nd exterior angle that we know is 140, so 180-140 = 40°. Since we know the other 2 angles of the triangle now and we know that all the angles of a triangle must sum to 180°, we add 90 and 40 to get 130 and then subtract that from 180 to get 50°. That would look something like this: 180-(90+40) = 180 - 130 = 50°. Hope this helps!
Answer
The measure of p is 50 degrees.
Explanation
You can see that p is located in a triangle.
The interior angles of a triangle always add up to 180 degrees.
So, to solve this problem, you can find the other interior angles, then subtract those from 180 to find p.
The exterior angles are 140 and 90 degrees. To find the measure of the interior angles, you subtract them from 180, (because the exterior angles and interior angles add up to 180).
The measure of the interior angles are 40 and 90 degrees; 180-140=40 and 180-90=90.
Now you can subtract the measure of the two interior angles from 180 to find p; 180-40-90=50.
Which number line plots the integers –6, –2, and 5?
A number line going from negative 6 to positive 6. Points are at negative 6, negative 5, negative 2.
A number line going from negative 6 to positive 6. Points are at 2, 5, 6.
A number line going from negative 6 to positive 6. Points are at negative 5, 2, 6.
A number line going from negative 6 to positive 6. Points are at negative 6, negative 2, 5.
Answer:
Một trục số đi từ âm 6 đến dương 6. Các điểm ở âm 6, âm 2, 5.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
If m angle PQR = 141", find each measure.
Answer:
x=6
pqs=82
sqr=59
Step-by-step explanation:
13x + 4 + 10x - 1 = 141
23x + 3= 141
23x = 136
x = 136/23 = 6
~~~~~~~~~~~~~~~
pqs = 13x + 4 = 13(6) + 4 = 78+4 = 82
sqr = 10x - 1 = 10(6)-1 = 60 - 1 = 59
Answer:
x = 6
Angle PQS is 82
Angle SQR is 59
Step-by-step explanation:
13x + 4 + 10x - 1 = 141
Group like terms : 23x + 3 = 141
Subtract 3 from both sides to get 23x = 138
Divide both sides by 23 to get x = 6
Angle PQS: Plug 6 into x for 13x + 4 = 13 (6) + 4 = 82
Angle SQR: Plug 6 into x for 10x - 1 = 10 (6) -1 = 59
Conjugate/Rational Number?
Please include a detailed explanation so I can learn to do it by myself, Thank you!
Answer:
1) [tex]\dfrac{2}{\sqrt{5} } = \dfrac{2 \cdot \sqrt{5} }{5}[/tex]
2) [tex]-\dfrac{5}{\sqrt{3} } = -\dfrac{5 \cdot \sqrt{3} }{3}[/tex]
3) [tex]\dfrac{\sqrt{2} + \sqrt{5} }{\sqrt{10} } =\dfrac{\sqrt{5} }{5} + \dfrac{ \sqrt{2} }{2}[/tex]
4) [tex]\dfrac{3 + \sqrt{2} }{\sqrt{3} } \times \dfrac{\sqrt{3} }{\sqrt{3} } = \sqrt{3} + \dfrac{\sqrt{6} }{3}[/tex]
5) [tex]\dfrac{\sqrt{3} }{\sqrt{5} + \sqrt{2} }= \dfrac{\sqrt{15} - \sqrt{6} }{3}[/tex]
Step-by-step explanation:
The rationalization of the denominator of the surds are found as follows;
1) [tex]\dfrac{2}{\sqrt{5} }[/tex]
[tex]\dfrac{2}{\sqrt{5} } \times \dfrac{\sqrt{5} }{\sqrt{5} } = \dfrac{2 \cdot \sqrt{5} }{5}[/tex]
[tex]\dfrac{2}{\sqrt{5} } = \dfrac{2 \cdot \sqrt{5} }{5}[/tex]
2) [tex]-\dfrac{5}{\sqrt{3} }[/tex]
[tex]-\dfrac{5}{\sqrt{3} } \times \dfrac{\sqrt{3} }{\sqrt{3} } = -\dfrac{5 \cdot \sqrt{3} }{3}[/tex]
[tex]-\dfrac{5}{\sqrt{3} } = -\dfrac{5 \cdot \sqrt{3} }{3}[/tex]
3) [tex]\dfrac{\sqrt{2} + \sqrt{5} }{\sqrt{10} }[/tex]
[tex]\dfrac{\sqrt{2} + \sqrt{5} }{\sqrt{10} } \times \dfrac{ \sqrt{10} }{\sqrt{10} } = \dfrac{\sqrt{20} + \sqrt{50} }{10 } = \dfrac{2\cdot \sqrt{5} + 5 \cdot \sqrt{2} }{10} = \dfrac{\sqrt{5} }{5} + \dfrac{ \sqrt{2} }{2}[/tex]
[tex]\dfrac{\sqrt{2} + \sqrt{5} }{\sqrt{10} } =\dfrac{\sqrt{5} }{5} + \dfrac{ \sqrt{2} }{2}[/tex]
4) [tex]\dfrac{3 + \sqrt{2} }{\sqrt{3} }[/tex]
[tex]\dfrac{3 + \sqrt{2} }{\sqrt{3} } \times \dfrac{\sqrt{3} }{\sqrt{3} } = \dfrac{3 \cdot \sqrt{3}+\sqrt{6} }{3 } = \sqrt{3} + \dfrac{\sqrt{6} }{3}[/tex]
[tex]\dfrac{3 + \sqrt{2} }{\sqrt{3} } \times \dfrac{\sqrt{3} }{\sqrt{3} } = \sqrt{3} + \dfrac{\sqrt{6} }{3}[/tex]
5) [tex]\dfrac{\sqrt{3} }{\sqrt{5} + \sqrt{2} }[/tex]
[tex]\dfrac{\sqrt{3} }{\sqrt{5} + \sqrt{2} } = \dfrac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} } = \dfrac{\sqrt{15} -\sqrt{6} }{5 - 2} = \dfrac{\sqrt{15} - \sqrt{6} }{3}[/tex]
[tex]\dfrac{\sqrt{3} }{\sqrt{5} + \sqrt{2} }= \dfrac{\sqrt{15} - \sqrt{6} }{3}[/tex]
6) [tex]\dfrac{\sqrt{7} }{\sqrt{3} - \sqrt{5} }[/tex]
[tex]\dfrac{\sqrt{7} }{\sqrt{3} - \sqrt{5} } \times \dfrac{\sqrt{3} + \sqrt{5}}{\sqrt{3} + \sqrt{5}} = \dfrac{\sqrt{21} + \sqrt{35}}{{3} + {5}} = \dfrac{\sqrt{21} + \sqrt{35}}{8}[/tex]
[tex]\dfrac{\sqrt{7} }{\sqrt{3} - \sqrt{5} } \times \dfrac{\sqrt{3} + \sqrt{5}}{\sqrt{3} + \sqrt{5}} =\dfrac{\sqrt{21} + \sqrt{35}}{8}[/tex]
multiple choice question! g
Answer:
D. A 2d drawing
Step-by-step explanation:
It is a 2d drawing because the view consists of two-dimensional elements.
in a shipment of 10,000 headlights, 5% are defective. what is the ratio of defective headlights to non-defective headlights
Answer:
19:1
Step-by-step explanation:
There are 10000 headlights. If 5% are defective, then 500 are defective. Since we took that 500 out, we get 9500 good headlights. The ratio is 9500:500 or 19:1
The ratio of defective headlights to non-defective headlights will be 19:1.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
There are 10000 headlights. If 5% are defective, then 500 are defective. Since we took that 500 out, we get 9500 good headlights.
The ratio will be calculated as below:-
Ratio = 9500:500
Ratio = 19:1
Therefore, the ratio of defective headlights to non-defective headlights will be 19:1.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ5
Find the surface area of the right rectangular shown below hurry plss
Surface area of a cuboid
= [2(length)(width)] + [2(width)(height)] + [2(height)(length)]
= {[2(4)(2.5)] + [2(2.5)(2)] + [2(2)(4)]} units²
= (20 + 10 + 16) units²
= 46 units²
If SP:100, CP:80 find is profit or lost percent?
Step-by-step explanation:
profit =20 rs
profit% = 20/80*100
=25%
Answer:
Profit=20
Step-by-step explanation:
If SP>CP,
It is profit. [Profit=SP-CP]
If SP<CP,
It is loss. [Loss=CP-SP]
If SP=CP,
No gain no loss.
Solution:
SP=100
CP=80
SP>CP,
It is profit.
Profit=SP-CP=100-80=20
ASAP PLEASE !!!!!!!!
Multiply [tex]f(x)=\sqrt{x+10}[/tex] and [tex]g(x)=x+5[/tex]
Answer:
[tex]\sqrt{x+10}x+5\sqrt{x+10}[/tex]
Step-by-step explanation:
First, set up an equation:
[tex](\sqrt{x+10} )(x+5)[/tex]
Multiply [tex]\sqrt{x+10}[/tex] first by x, then 5.
[tex]\sqrt{x+10}x+5\sqrt{x+10}[/tex]
That's all
I hope this helps
Sue Mitchell weighed 8 lb. 13 oz. when she was born. She now weighs 93 lb. 5
oz. How much has she gained since birth and what has been her average weight for
each year if she is 13 year old
Answer:
Weight gain = 84 lb 5 oz
Average weight gain = 6 lb 5 oz
Step-by-step explanation:
lb means pounds
16 oz = 1 pound
Convert the weight to pounds
Weight when she was born = 8 lb. 13 oz
= 8 pounds + 0.8125 pounds
= 8.8125 pounds
Present weight = 93 lb. 5
oz
= 93 pounds + 0.3125 pounds
= 93.3125 pounds
How much has she gained since birth
Weight gain = Present weight - Weight when she was born
= 93.3125 pounds - 8.8125 pounds
= 84.5 pounds
= 84 lb 5 oz
Weight gain = 84 lb 5 oz
what has been her average weight for each year if she is 13 year old
Average weight gain = Weight gain / 13
= 84.5 pounds / 13
= 6.5 pounds
= 6 lb 5 oz
Average weight gain = 6 lb 5 oz
Add parentheses to the expression so that its value is 15:
3 × 4 + 5 - 2
Step-by-step explanation:
Technically this expression is 15 as is.
You could add the parenthesis around the 3x4 or the 5-2.
So your answer is either:
(3x4) + 5 - 2
or 3x4 + (5-2)
OR (3x4) + (5-2)
But in my opinion, you do not want to have too many sets of parenthesis, it crowds your equation too much.
Answer:
(3 × 4) + 5 - 2
Step-by-step explanation:
To do this problem, first you need to check to see what the original answer is.
3 × 4 + 5 - 2
12 + 5 - 2
16 - 2
14
-------------------
(3 × 4) + 5 - 2
12 + 5 - 2
17 - 2
15
The answer is:
(3 × 4) + 5 - 2
Hope this helped.
Can someone help me with this math homework please!
9514 1404 393
Answer:
(a) y = -3/4x +36
Step-by-step explanation:
The slope of the rail is ...
m = rise/run = -9/12 = -3/4
The initial height of the rail is 36, so the slope-intercept equation for the rail is ...
y = mx +b . . . . . m = slope; b = initial value
y = -3/4x + 36
Answer:
(A) [tex]y=-\frac{3}{4}x+36[/tex]
Step-by-step explanation:
Here's what we know about the question:
- stairs start at a height of 36 inches
- stairs decreases 9 inches vertically for every 12 horizontal inches
Because the stairs decrease, the function will NOT be a positive function. Instead, it will be a negative function, so either (A) or (B).
The y-intercept, which is 36, is the same for both answer choices, so we need to find the correct slope to find the correct answer choice.
Slope is a fraction that is sometimes called rise over run (rise/run) to help write the correct slope. The rise is the vertical change and the run is the horizontal change.
In this question, our vertical change is -9 inches (it's negative because it decreases) and our horizontal change is 12 inches. Using the rise/run formula, we get a slope of -9/12. Simplified, it's -3/4.
So our answer is y = -3/4x + 36
Hope that helps (●'◡'●)
NEED HELPP, which statements are true??????
Answer:
Choices 2 and 3 (READ ALL EXPLANATIONS)
Step-by-step explanation:
To find out the rate of changes for Bush A, you have to choose coordinate points from the graph that hit the line. Then after doing so, you have (1,12) (3,16) and (5,20). You then have to subtract both the x and y values from each other to get your rate of change. Resulting in 4/2, which when simplified is 2. From there you can start building your slope-intercept form equation. Now that you have your rate of change, you then have to find out the initial height of the bush before it started growing. Mathematically worded as the y-intercept. To find the y-intercept from a graph you look at the y axis and see which number hit the line from there. An approximate estimate would be 10. Your finished equation for Bush A should look like y=2x+10. The next equation you want to form is your Bush B one. However, the information you need is already provided to create your equation, y=2.5x+7.5. Now that you have both your equations for both bushes you can look at the statements below to see which answers are corrects based on your data. The first statement is incorrect because Bush A's rate of change is 2 and Bush B's is 2.5. Therefore Bush B's rate of change is bigger not vise versa. The second statement is correct because Bush B's initial value or y-intercept is 7.5 and Bush A's is 10. Therefore, Bush B's initial value is less than that of Bush A's. The third statement is also correct because after substituting the 7 from the 7 years into both equations because the x is the number of years the plant has grown from the original height, Bush A's result was 24 and Bush B's result was 25. Therefore Bush B would be 1 inch taller in that time frame.
Proving That Congruent Central Angles Have Congruent Chords
Given: ⊙O with central angles ∠AOC ≅ ∠BOD
Prove: AC ≅ BD
Circle O is shown. Line segments O A, O C, O B, and O D are radii. Line segments connect points A and C and points B and D to form 2 triangles inside of the circle. Angles A O C and B O D are congruent.
Complete the missing parts of the paragraph proof.
Proof:
We know that central angles
are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because
. Then by the
congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because
.
Answer:
1. AOC and BOD.
2. all radii of a circle are congruent
3. SAS
4. CPCTC
Step-by-step explanation:
I did it on edge. ALSO PLS GIVE ME BRAINLIEST
Answer:
1. AOC and BOD.
2. all radii of a circle are congruent
3. SAS
4. CPCTC
Step-by-step explanation:
Which values of a and b in the exponential function y = a times b Superscript x would result in the following graph? On a coordinate plane, a curve approaches the x-axis in quadrant 3 and then decreases down through (0, negative 3) to quadrant 4. a. a = -3, b = 2 c. a = 3, b = 2 b. a = -1, b = 3 d. a = 2, b = -3 Please select the best answer from the choices provided A B C D
Answer:
[tex]a =-3[/tex] [tex]b =2[/tex]
Step-by-step explanation:
Given
[tex]y = ab^x[/tex]
[tex](x_1,y_1) = (0,-3)[/tex]
Required
Find a and b
Substitute [tex](x_1,y_1) = (0,-3)[/tex] for x and y in [tex]y = ab^x[/tex]
[tex]-3 = ab^0[/tex]
[tex]-3 = a * 1[/tex]
[tex]-3 = a[/tex]
Rewrite as:
[tex]a =-3[/tex]
The above implies that (a) is correct;
Hence:
[tex]a =-3[/tex] [tex]b =2[/tex]
So, the equation is:
[tex]y = -3(2)^x[/tex]
Answer: a=-3 b=2
Step-by-step explanation:
X + 1 by X is polymer or not, polymer means ,write its degrees?
HELPP ASAPP
Match the numbers in standard notation with the corresponding numbers in scientific notation
8.64E9 = 8,640,000,000
8.64E14 = 864,000,000,000,000
8.64E11 = 864,000,000,000
8.64E13 = 86,400,000,000,000
10. Find the mean, median of the following data.
5,3, 2, 6, 5, 2,5
a. 5,4
b. 6,8
c. 28,7
d. 4,5
Answer:
A
Step-by-step explanation:
You find the mean by adding all the values then dividing that sum by the amount of values
You find the median by putting the numbers in order from least to greatest and then find the middle number.
What is the answer to this question
Answer:
Step-by-step explanation:
a = 6
c = 6
b = 13
ac = 6 * 6 = 36
4 and 9 multiply to 36 and 4 and 9 add to 13
Graph the function.
is it a, b, c or d?
Answer:
D
Step-by-step explanation:
Equation of line is y=2x-2
The function f(x) is shown on the graph.
What is f(0)?
• 12 only
• -2 and 3 only
• -2, -1, 1, and 2 only
• -2, -1, 1, 2 and 12
how much balance we have to save to get Rs 120 interest on 3 years by 2% weight for Annum
Answer:
Principal, P = Rs. 2000
Step-by-step explanation:
Given the following data;
Simple interest (S.I) = Rs. 120Interest rate, R = 2%Time, T = 3 yearsTo find how much balance (principal) is to be saved, we would use the formula;
[tex] S.I = \frac {PRT}{100} [/tex]
Where;
S.I is the simple interest.P is the principal.R is the interest rate.T is the time measured in years.Making "P" the subject of formula, we have;
[tex] P = \frac {100S.I}{RT} [/tex]
Substituting the values into the formula, we have;
[tex] P = \frac {100 * 120}{2 * 3} [/tex]
[tex] P = \frac {12000}{6} [/tex]
Principal, P = Rs. 2000
Therefore, you'll have to save up to Rs. 2000.
You are picking out an outfit. Which of the following options shows a closet with 24 different possible combinations of outfits? Select all that apply.
A) 6 shirts, 2 shorts, 3 hats
B) 12 shirts, 2 shorts, 2 hats
C) 3 shirts, 4 jeans, 2 hats
D) 6 shirts, 2 jeans, 2 hats
E) 12 shirts, 2 jeans, 1 hat
Answer:
C, D, E
Step-by-step explanation:
You just need to multiply the numbers together. Whichever choice is equal to 24, is your answer
So when you multiply for each one...
A is 36
B is 48
C is 24
D is 24
E is 24
So since C, D, E multiply to 24, they are the correct answers.
i need helpppppp it’s urgentttttt!!!!
1. Take a look at the steps below for solving the
equation 4(3 - 2x) = -20.
Step 1: 4(3 - 2x) = -20
Step 2: 12 - 8x = -20
Step 3: 12-8x - 12 = -20 - 12
Step 4: - 8x + 0 = -32
Step 5:
- 8x = -32
1
Step 6. - 8x
-1
8
8
Step 7:
x = 4
1
= -32
Which property justifies the work between ...
A. Step 1 and Step 2?
B. Step 2 and Step 3?
C. Step 3 and Step 4?
D. Step 4 and Step 5?
E. Step 5 and Step 6?
F. Step 6 and Step 7?
Answer:
x= 1
Step-by-step explanation:
Work is shown in the picture
Please help! The answer isn’t 36!
Find the value of the expression:
Answer:
3.6
Step-by-step explanation:
Hi there!
We are given this expression:
.6√36 (.6*√36)
And we want to find the value of it
.6 can be re-written as 0.6
In that case,
0.6*√36
First, simplify what's under the radical: √36, which is equal to 6 (6*6=36)
The expression then becomes:
0.6*6
Multiply those numbers together
0.6*6=3.6
Hope this helps!
What is the equation of this circle?
Answer:
(x-3)^2+y^2=8
Step-by-step explanation:
I'm going to go ahead and assume the center is (3,0). The radius can be found by computing the distance from the center, (3,0), to a point on the circle, (5,-2).
The distance between two points is calculated by doing sqrt((distance between x's)^2+(distance between y's)^2).
The distance between our x's is 2.
The distance between our y's is 2.
The square of each then is 4 and 4 respectively.
So we have the distance is sqrt(4+4)=sqrt(8).
The radius is sqrt(8).
The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is center and r is radius.
If r=sqrt(8), then r^2=8.
(h,k)=(3,0)
(x-h)^2+(y-k)^2=r^2
(x-3)^2+(y-0)^2=8
(x-3)^2+y^2=8
