Answers
Answer:
120 cm³Step-by-step explanation:
First we have to find out area of the base
[tex]s = \frac{a + b + c}{2} [/tex]
[tex] = \frac{5 + 12 + 13}{2} [/tex]
[tex] = \frac{30}{2} [/tex]
[tex] = 15[/tex]
Area of base = [tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]
[tex] = \sqrt{15(15 - 5)(15 - 12)(15 - 13)} [/tex]
[tex] = \sqrt{15 \times 10 \times 3 \times 2} [/tex]
[tex] = \sqrt{5 \times 3 \times 5 \times 2 \times 3 \times 2} [/tex]
[tex] = 2 \times 3 \times 5[/tex]
[tex] = 30 \: {cm}^{2} [/tex]
Now, let's find the volume of triangular pyramid
[tex] = \frac{1}{3} \times a \times h[/tex]
[tex] = \frac{1}{3} \times 30 \times 12[/tex]
[tex] = 120 \: [/tex] cm³
Hope this helps..
best regards!!
Related Questions
WILL GIVE BRAINLIEST FOR BEST ANSWER Maya wants to perform an experiment with a spinner labeled A, B, and C. The theoretical probabilities for each section are: P(A) = ½, P(B) = ¼, and P(C) = ¼. Which spinner could she use?
Answers
Answer: The answer is spinner B. There are 8 sections on the spinner and 4 of them have letter A, so P(A)= 1/2.
Answer:
spinner B
Step-by-step explanation:
there's 8 sides to the spinner and half of them have A on it.
[5 points] Each size of tile is named for its area. The smallest tile, called the “unit tile”, has sides that measure exactly 1 unit. Therefore, the area of the unit tile is 1 unit 1 unit=1 unit2. Can you use the unit tile to find the exact area of the other tiles? Explain.
Answers
Answer:
Yes you can, it’s 1010
Step-by-step explanation:
the reason is to 101 the number for its to become the one for the unit which is 1010
Yes, you can use the unit tile to find the exact area of the other tiles.
What are units and measurements?The fundamental units are the units defined for the fundamental quantities. The derived units are the units of all other physical quantities that are derived from the fundamental units.
Given :
The unit tile has 1 unit length and 1 square unit of area.
Yes, you can use the unit tile to determine the length of the other rectangle and square.
You can place tiles along the length of the rectangle and count them so that the number of tiles equals the length of the rectangle, and then use the same method to find the side of the squares.
As shown in the given diagram below :
Therefore, you can use the unit tile to find the exact area of the other tiles.
To learn more about units and measurements refer to :
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The researcher is interested to know if policy A (new) is more effective than policy B (old). Frame the hypothesis and describe what each error would represent in terms of reality and conclusion.
Answers
Answer:
Null hypothesis: Policy B remains more effective than policy A.
Alternate hypothesis: Policy A is more effective than policy B.
Step-by-step explanation:
Remember, a hypothesis is a usually tentative (temporary until tested) assumption about two variables– independent and the dependent variable.
We have two types of hypothesis errors:
1. A type I error occurs when the null hypothesis (H0) is wrongly rejected.
That is, rejecting the assumption that policy B remains more effective than policy A when it is actually true.
2. A type II error occurs when the null hypothesis H0, is not rejected when it is actually false. That is, accepting the assumption that policy B remains more effective than policy A when it is actually false.
In a bag containing 3 red balls,and 2 blue balls,one of which is drawn at random.
Find the probability that its a red ball
Answers
Step-by-step explanation:
Given:
Successful outcome
Red=3
Blue=2
Possible outcome
Total=5 balls
Required:
The probability of drawing red ball
Formula:
Probability= Successful outcome ÷ Possible outcome
Solution:
Probability= Successful outcome ÷ Possible outcome
Probability=3÷5
Probability=3/5 or 0.6
Hope this helps ;) ❤❤❤
The step function g(x) is defined as shown. g(x) = StartLayout Enlarged left-brace 1st row 1st column negative 3, 2nd column x less-than-or-equal-to 0 2nd row 1st column 2, 2nd column 0 less-than x less-than-or-equal-to 4 3rd row 1st column 5, 2nd column 4 less-than x less-than-or-equal-to 10 EndLayout
Answers
Answer:
{–3, 2, 5}
Step-by-step explanation:
The range refers to the values for the axis i.e to be dependent when there is a defined function
And the range is the combination of the integer i.e to be compounded by these three values
Data provided in the question
-3 , x ≤ 0
2, 0 < x ≤ 4
5, 4 < x ≤ 10
Based on the above information, the range of g(x) is {-3,2,5}
Hence, the correct option is c.
Answer:
C
Step-by-step explanation:
Michael is 5 years old than rui feng and. Vishal is thrice as old as micheal if rui feng is 3 years old find Michael present age and sum of their ages in 6 years time
Answers
Answer:
a) Micheal's present age = 8 years old
b) The sum of their ages in 6 years time = 63 years.
Step-by-step explanation:
From the above question, we know that
Rui feng is 3 years old
We are told that
• Michael is 5 years old than Rui feng
Micheal's present age is calculated as:
= 5 + Rui feng's age
= 5 + 3 = 8 years
• Vishal is thrice as old as Micheal
Vishal's present age is calculated as
= 3(Micheal age)
= 3(8)
= 24 years.
The sum of their ages in six years time
= ( 3 + 6) +( 8 + 6) + ( 24 + 6)
= 18 + 15 + 30
= 63 years
Therefore, a) Micheal's present age = 8 years old
b) The sum of their ages in 6 years time = 63 years.
The triangles are similar. Solve for the missing segment.
Answers
Answer:
56
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{35+20}{20}[/tex] = [tex]\frac{32+?}{32}[/tex] ( cross- multiply )
20(32 + ?) = 1760 ( divide both sides by 20 )
32 + ? = 88 ( subtract 32 from both sides )
? = 56
Answer:
[tex]\boxed{56}[/tex]
Step-by-step explanation:
We can use ratios to solve since the triangles are similar.
[tex]\frac{20}{32} =\frac{35}{x}[/tex]
Cross multiplication.
[tex]20x=35 \times 32[/tex]
Divide both sides by 20.
[tex]\frac{20x}{20} = \frac{35 \times 32}{20}[/tex]
[tex]x=56[/tex]
3x - 5y+5=0
4x+ 7y+8=0
Please help
Answers
Answer:
Y= -4. X=5
Step-by-step explanation:
This is a simultaneous equation
3x+5y= -5 ------------(1)
4x+5y= -8 ------------(2)
Using elimination method
Eliminate x
×4. 3x+5y= -5
×3. 4x+7y= -8
12x+20y= -20
-(12x+21y= -24) Minus
-y=4 therefore y= -4
Substitute x into equation 1
3x+5(-4)= -5
3x-20= -5
3x= -5+20
3x= 15
x=5
Carter is choosing clay for his pottery class. Clay is sold in three different-shaped solids at the craft store. The dimensions of each of these shapes is shown below.
Answers
Answer:
[tex]\boxed{V_{cone} = 1017.36\ in.\³}[/tex]
[tex]\boxed{V_{cylinder} = 3052.08\ in.\³}[/tex]
[tex]\boxed{V_{sphere} = 3052.08\ in.^3}[/tex]
Step-by-step explanation:
Volume of Cone:
[tex]\sf V = \frac{1}{3} \pi r^2 h\\Where\ r = 9 , h = 12\\ V = \frac{1}{3} (3.14)(9)^2(12)\\V = \frac{1}{3} (3.14)(81)(12)\\V = \frac{1}{3} 3052.08\\[/tex]
V = 1017.36 in.³
Volume of Cylinder:
[tex]\sf V = \pi r^3h\\V = (3.14)(9)^2(12)\\V = (3.14)(81)(12)[/tex]
V = 3052.08 in.³
Volume of Sphere:
[tex]\sf V = \frac{4}{3} \pi r^3\\Where \ r = 9 \ in\\V = \frac{4}{3} (3.14)(9)^3\\V = \frac{4}{3} (3.14)(729)\\V = \frac{9156.24}{3}[/tex]
V = 3052.08 in.³
Answer:
[tex]\boxed{\sf V_{cone} = 1017.36\ in \³}\\\boxed{\sf V_{cylinder} = 3052.08\ in\³}\\\boxed{\sf V_{sphere} = 3052.08\ in^3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{3} \pi (9)^2 (12)\\324 \times 3.14 \\ 1017.36[/tex]
[tex]\pi (9)^2 (12)\\972 \times 3.14\\ 3052.08[/tex]
[tex]\frac{4}{3} \pi (9)^3\\972 \times 3.14\\3052.08[/tex]
Which represents the solution to 7x > 21 or 6x - 9 < 21?
Answers
Answer:
1) The correct option is the third line
2) The correct option is the third line please see attached graph
Step-by-step explanation:
For the system of inequalities,
7·x > 21 or 6·x -9 < 21 we have;
7·x > 21
x > 21/3 = 3
x > 3
Also we have for 6·x -9 < 21 we have;
6·x -9 < 21
6·x < 21 + 9
6·x < 30
x < 30/6 = 5
x < 5
The representation of the region x > 3 and the region x < 5 on the number line consists of indicating points 3 and 5 with circles not filled to represent less than < and not less than or equal to ≤ and shading the potion of the number line in between the two points
Which gives the correct option as the third line which has an open circle at point 3 and 5
b) To graph the inequality v + 4 > 2 and 8·v - 20 ≤ 36
For the inequality v + 4 > 2, we have;
v > 2 - 4
v > - 2
For the inequality 8·v - 20 ≤ 36, we have;
8·v - 20 ≤ 36
8·v ≤ 36 + 20
8·v ≤ 56
v ≤ 56/8
v ≤ 7
The region representing v > -2 or v ≤ 7 on the number line consists of indicating points -2 with a circle (not filled) to represent less than < and point 7 with a filled circle to represent less than or equal to ≤ and shading the potion of the number line in between the two points
Which gives the correct option is the third line which has a closed circle at point -2 and an open circle at point 7
A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5?
Answers
Answer: (1.5,-3) and (4.5, -3)
Step-by-step explanation:
The dilation rule to dilate a point (x,y) by a scaler factor of k is given by :0
[tex](x,y)\to (kx,ky)[/tex]
Given: A Line Segment has the points (1,-2), and (3,-2).
Scale factor = 1.5
Then, the new points after dilation will be :
[tex](1,-2)\to(1.5\times1,\ 1.5\times-2)=(1.5,\ -3)[/tex]
[tex](3,-2)\to (1.5\times3,1.5\times-2)=(4.5,\ -3)[/tex]
Hence, the new points after its dilated by a scale factor of = (1.5,-3) and (4.5, -3)
Figure A is a scale image of Figure B. What is the value of x?
Answers
Answer:
x = 5.4
Step-by-step explanation:
Multiply 7.2 by 3/4 to find the equivalent ratio.
Answer:
5.4Step-by-step explanation:
[tex] \frac{7.2}{x} = \frac{4}{3} [/tex]
Apply cross product property
[tex]4x = 7.2 \times 3[/tex]
Multiply the numbers
[tex]4x = 21.6[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} = \frac{21.6}{4} [/tex]
Calculate
[tex]x = 5.4[/tex]
Hope this helps..
best regards!!
Use the rationalized expression from the previous question to
calculate the time, in seconds, that the cliff diver is in free fall.
Assume the acceleration due to gravity, a, is -9.8 m/s2, and the
dive distance, d, is -35 m. The negative numbers indicate the
direction is downward. Round the answer to two decimal places.
Answers
Answer:
Time taken (t) = 2.67 s (Approx)
Step-by-step explanation:
Find:
Time taken (t)
Given:
Initial velocity (u) = 0 m/s
Acceleration due to gravity(a) = -9.8 m/s²
Distance (d) = -35 m
Computation:
Using 2nd equation of motion,
d = ut + (1/2)at²
-35 = (0)t + (1/2)(-9.8)t²
-35 = -4.9 (t²)
t² = 7.1428
t = 2.6726
Time taken (t) = 2.67 s (Approx)
How much does a composition notebook weigh?
Answers
Answer:
11.2 ounces
Step-by-step explanation:
If mArc N P is 6 more than 5 times the measure of Arc M N , what is mArc N P ?
139°
145°
151°
174°
Answers
Answer: the answer is 151
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The cell cycle is the process by which a single cell replicates itself. A student investigates whether cell growth during the cell cycle is linear or exponential. The table at left gives the length, in micrometers, of an S. pombe (yeast) cell at different times after the cell cycle begins. Which of the following best describes the relationship between time and length of this cell?
Answers
The question is incomplete. the complete question is as follows:
The cell cycle is the process by which a single cell replicates itself. A student investigates whether cell growth during the cell cycle is linear or exponential. The table at the left gives the length, in micrometers, of an S. pombe (yeast) cell at different times after the cell cycle begins. Which of the following best describes the relationship between time and length of this cell?
A. It is linear because the length increases by the same factor every 10 minutes.
B. It is linear because the length increases by the same number of micrometers every 10 minutes.
C. It is exponential because the length increases by the same factor every 10 minutes.
D. It is exponential because the length increases by the same number of micrometers every 10 minutes.
Answer:
C. It is exponential because the length increases by the same factor every 10 minutes.
Step-by-step explanation:
According to the data shown, the relationship between time and length of this cell is exponential.
The relationship is exponential because the length increases by the same factor every 10 minutes.
The growth of the cell is exponential it means the optimal conditions are provided to the cell for their growth.
Hence, the correct answer is "C. It is exponential because the length increases by the same factor every 10 minutes."
please help ASAP. Which statement below is NOT true for the graph of a quadratic function? a) the axis of symmetry intersects the parabola at the vertex b) when the coefficient of x^2 is positive, the vertex of the parabola is a minimum point c)The vertex of a parabola is its highest or lowest level d) the parabola is symmetrical about the y-axis
Answers
Answer:
Step-by-step explanation:
All of these statements about a vertical parabola with known vertex are true.
The statement which is not always true about the graph of a quadratic function is option d) the parabola is symmetrical about the y-axis.
What is Parabola?A parabola is a open U shaped curve on a plane where all the points on the curve will be at an equal distance from a fixed point called focus and a fixed line called directrix.
Vertex of a parabola is the point where the parabola intersects with it's line of symmetry. So the vertex will always lie at the maximum point or the minimum point.
Axis of symmetry is the line that passes through the vertex of a parabola.
Graph of the quadratic equation will always be a parabola.
When the coefficient of x² is positive, then the vertex of the parabola will be at a minimum point and if the coefficient is negative, then the vertex will be at a maximum point.
The parabola is symmetrical to y axis only if the vertex of the parabola lies on the Y axis. So it will not be always true.
Hence the statement the parabola is symmetrical about the y-axis is not always true.
Learn more about Parabola here :
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what is the equation of 7/12=blank×1/2
Answers
Answer: x = [tex]1\frac{1}{6}[/tex]
Step-by-step explanation:
7/12 = 1/2x
Multiply by 2
14/12=x
x = 1 1/6
Hope it helps <3
A school has 6 3/4 kg of detergent in stock. During ' Use Your Hands ' campaign, each class will be given 3/8 kg of detergent. There are 28 classes in the school.
(a) What fraction of the school will be supplied with the detergent in stock?
(b) How much detergent will be required altogether for the whole school?
(c) How much more detergent does the school need to order?
(d) If the school gives out the detergent in stock to the 15 lower secondary classes first,
(i) how much detergent will be given out;
(ii) how much detergent in stock will be left?
Answers
Answer:
Step-by-step explanation:
Total stock available = 6 x 3/4 = 18/4
Detergent given to each class=3/8
Total number of classes in the school = 28
Total detergent required by the school=3/8*28
=42/4
a. Fraction if the school who will get the detergent=18/42
b. Total required detergent for the whole school= 42/4
c. School needs to order = 42/4 - 18/4
= 24/4
= 6
d. i. Detergent given out to 15 classes = 15 x 3/8
= 45/8
ii. There will be no detergent left in stock
On a separate piece of graph paper, graph y = |x - 3|; then click on the graph until the correct one appears.
ps : there's another picture it just didn't let me edit it its the opposite side of the shape facing up the graph.
Answers
Answer: Graph is shown in the attached image below
This is a V shaped graph with the vertex at (3,0). The V opens upward
Explanation:
The equation y = |x-3| is the result of shifting the parent function y = |x| three units to the right. The vertex moves from (0,0) to (3,0). The "x-3" portion moves the xy axis three units to the left. If we held the V shape in place while the xy axis moved like this, then it gives the illusion the V shape moved 3 spots to the right.
Side note: the equation y = |x-3| is composed of two linear functions y = x-3 and y = -x+3. The value of x will determine which gets graphed. When x < 3, then we'll graph y = -x+3; otherwise we graph y = x-3. This is known as a piecewise function.
30. A rectangular prism has a volume of
285.6 cubic feet. The prism is
12 feet long and 3.4 feet wide. What is
the height of the prism?
A 7 ft
C 19 ft
B 15 ft
D 22 ft
Answers
Answer:
The answer is a
Step-by-step explanation:
my brother is very smart
Equivalent equation to 19-6(-k+4)=
Answers
Answer:
-5+6k
Step-by-step explanation:
19-6(-k+4)=16+6k-24=6k-5
Answer:
6k-5
Step-by-step explanation:
19-6(-k+4)=
19+6k-24=
6k-5
PLEASE HELP! BRAINLIEST! ASAP!
Answers
Answer:
x = -5
I hope this helps!
Answer:
x = - 5
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (- 5, 7 ) with x- coordinate - 5 , thus
x = - 5 ← equation of vertical line
please help me to understand how this problem was solved. if you aren't going to explain don't even bother. no trolling :0
Answers
Answer:
see below
Step-by-step explanation:
In the first step, they added 28 to both sides of the equation to get rid of the -28 on the left side. Next, they subtracted 4x from both sides to get rid of the 4x on the left side. They are doing this so that they can isolate y on one side. Isolating y basically means that you need to get all of the y terms on one side and all of the non-y terms on the other side. Next, they divided the entire equation by 8 to get rid of the 8 in 8y. Finally, since y and f(x) are the same thing, they simply substituted f(x) for y.
Which equation represents the graphed function?
Answers
Answer:
y=-1/2x+3
Step-by-step explanation:
To get the equation you do y=mx+b. Which is y=slope+y-intercept
express each of the following decimal number in the p/q form (1)0.5 (2)3.8
Answers
Answer:
see explanation
Step-by-step explanation:
(1)
0.5 = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]
(2)
3.8 = 3 [tex]\frac{8}{10}[/tex] = [tex]\frac{10(3)+8}{10}[/tex] = [tex]\frac{30+8}{10}[/tex] = [tex]\frac{38}{10}[/tex] = [tex]\frac{19}{5}[/tex]
ASAP!! I will not accept nonsense answers, but will give BRAINLIEST if you get it correct with solutions:)
Answers
Answer:
Third option is the correct answer (1/2 = e^{2k})
Step-by-step explanation:
Since, N =1/2 Nt
Therefore, 2N = Nt.... (1)
We are given that:
N= Nt e^{kt}
N = 2N e^{2k} (since, 2N =Nt and t =2)
N/2N = e^{2k}
1/2 = e^{2k}
A linear inequality in one variable is a linear equation in one variable with the equals symbol replaced by an inequality symbol. True or False?
Answers
Answer:
True
Step-by-step explanation:
Example:
8 = 3 x - 5 is the equation in one variable
an associated linear inequality in one variable is for example:
8 < 3 x - 5
What is the slope-intercept equation for the line below?
Answers
Answer: D
Step-by-step explanation:
If we look at the graph we can see that the line intercepts the y-axis at (0,-4), so the intercept must be -4.
If we use the rise-over-run formula for (0,-4) and (4,1) we would get:
[tex]\frac{1--4}{4} \\\\=\frac{5}{4}[/tex]
Since the line is going upwards, the equation must be positive.
Therefore, the equation in slope-intercept form is y=5/4x-4.
First, we can eliminate option b and c because they are negative, and the line in the graph is goin up.
Then you count and get that the m is 5/4, put it together: y=5/4x-4
Which of the following describes the graph of 2x + 4y < 16? a:solid line, shaded below b:dashed line, shaded above c:dashed line, shaded below d:solid line, shaded above
Answers
Answer: C
Step-by-step explanation:
[tex]2x+4y<16\\=4y<-2x+16\\=y<-\frac{1}{2} x+4[/tex]
Since we are not dividing by a negative at any point during the simplification, the inequality sign won't change.
"<" means that the line will be dashed and shaded below.
Hope this helps!
The description of the inequality is (c) dashed line, shaded below
The inequality is given as:
2x + 4y < 16
The inequality is represented as less than (<)
When the less than sign is used in an inequality, the graph of the inequality would be a dashed line shaded below
Hence, the true statement is (c) dashed line, shaded below
Read more about inequalities at:
https://brainly.com/question/11234618