Area = Base x Width ÷ 2
Area = 32cm^2
Base = 8cm
32 ÷ 8 = 4
4 × 2 = 8
Answer = 8
To check our answer:
8 x 8 = 64
64 ÷ 2 = 32
:)
To find the height of a triangle with an area of 32 square centimeters and a base of 8 centimeters, we use the formula A = 1/2 × base × height. The height is calculated to be 8 centimeters.
The student has asked about finding the width of a triangle, given its area in square centimeters and the length of its base. There seems to be a confusion with the terminology; the width of a rectangle is being referred to instead of the triangle's height. However, to provide assistance with the appropriate concept, we will focus on finding the height of a triangle.
The area of a triangle is calculated by the formula A = 1/2 ×base× height. When we know the area and the base length, we can rearrange the formula to solve for the height. For a triangle with a base of 8 centimeters and an area of 32 square centimeters, the calculation would be as follows:
Area = 1/2 × base × height
32 = 1/2 × 8 × height
32 = 4 × height
height = 32 / 4
height = 8 centimeters
Therefore, the height of the triangle would be 8 centimeters.
I need help with this
The answer is circle, because the shape is a cylinder. Cylinders have a circle on the bottom.
A fair number cube , labeled with digits 1 through 6, is rolled four times. What is the probability of rolling a 6 all four times?
Answer:
Step-by-step explanation:
chance of rolling a 6 once on a die: 1/6
1/6 * 1/6 * 1/6 * 1/6 = 1/(36^2)= 1/1296
Which of the following equations describes a relationship of inverse variation between input and out put ?
Answer:
option A
output = constant / input
Step-by-step explanation:
Inverse relationship between two input and output means that they both moves in opposite directions, if one increases than other decreases.
Equation to describe relationship of inverse variation between input and output will be as following
output ∝ 1 / inputto remove this sign of proportionality
output = k / inputwhere k is a constant
Examine the equation: 4x = 2 − y Which equation represents the equivalent equation in slope-intercept form?
Answer:
2 - y = 4x
y - 2 = -4x
y = -4x + 2
consider the following graph of a linear function which equations have the same slope as the graph above select all that apply
Answer:
Step-by-step explanation:
which graph?
which equation can be represented using the number line?
Answer:
First Equation: [tex]\frac{3}{4} \div \frac{1}{8} =6[/tex]
Step-by-step explanation:
From the given number line we can see that there are 6 arrows/jumps of equal sizes to reach from 0 to [tex]\frac{3}{4}[/tex]
Each small jump is equivalent to [tex]\frac{1}{8}[/tex]. This is because from 0 to [tex]\frac{1}{4}[/tex] there are 2 jumps, so 1 jump will be equal to [tex]\frac{1}{4}[/tex] divided by 2 which is equal to [tex]\frac{1}{8}[/tex]
From 0 to [tex]\frac{3}{4}[/tex], 6 jumps of [tex]\frac{1}{8}[/tex] are made. In other words we can say [tex]\frac{1}{8}[/tex] is added to itself 6 times to reach to [tex]\frac{3}{4}[/tex].
Adding [tex]\frac{1}{8}[/tex] 6 times to itself also means multiplying [tex]\frac{1}{8}[/tex] by 6. So we can set up the equation as:
[tex]\frac{1}{8} \times 6 = \frac{3}{4}[/tex]
Dividing both sides by [tex]\frac{1}{8}[/tex] we get:
[tex]6=\frac{3}{4} \div \frac{1}{8} \\\\ or\\\\ \frac{3}{4} \div \frac{1}{8} =6[/tex]
Hence, the first equation represents the given number line.
Answer:
A
Step-by-step explanation:
Han has 10 cubes, each 5 inches on a side. A) Find the total volume of Han’s cubes. Express your answer as an expression using an exponent. B) Find the total surface area of Han’s cubes. Express your answer as an expression using an exponent.
Answer:
A) Vol_10_cubes = 2*(5^4) inch^3
B) Area_10_cubes = (2^2)*3*(5^3) inch^2
Step-by-step explanation:
A)The volume of a cube, as all sides are equal:
Vol_cube = (side)^3
side = 5 inches
Vol_cube = 5^3 inch^3
Since we have 10 cubes
10 = 2*5
Vol_10_cubes = 2*(5^4) inch^3
B) A cube has six faces, each with area equal to its squared side
Area_cube = 6*(side)^2
Area_cube = 6*(5)^2 inch^2
Area_10_cubes = 2*5*6*(5)^2 inch^2
Area_10_cubes = (2^2)*3*(5)^3 inch^2
The total volume of Han's cubes is given by the expression 10 × 5³ cubic inches, and the total surface area can be expressed as 10 × 6 × 5² square inches.
Explanation:The question asks for the calculation of volume and surface area of cubes with a given side length.
Volume Calculation
To find the volume of a single cube, we use the formula V = s³, where s is the length of a side of the cube. Because each side of the cube is 5 inches, the volume of one cube is V = 5³ inches³, which equals 125 cubic inches. Now, Han has 10 cubes, so the total volume is 10 times the volume of one cube, which can be expressed as:
Total Volume = 10 × 5³ inches³
Surface Area Calculation
The surface area of a single cube is found using the formula SA = 6s², since there are six sides to a cube. With a side length of 5 inches, the surface area of one cube is SA = 6 × 5² square inches, which equals 150 square inches. For 10 cubes, the total surface area is 10 times the surface area of one cube, which can be expressed as:
Total Surface Area = 10 × 6 × 5² square inches
Name the following segment or point.
Given: L,M,N aw midpoints
Altitude to AB
Answer:
Segment CR.
Step-by-step explanation:
We have been given an image of a triangle. We are asked to find the segment that is altitude to segment AB.
We know that the altitude of triangle is the perpendicular drawn from a vertex of triangle to opposite side.
We can see that vertex opposite to segment AB is [tex]\angle ACB[/tex]. We can see that there are two lines drawn from vertex C that are segment CR and CN.
We have been given that points L, M and N are midpoints for our given triangle. We know that segment that is midpoint of triangle is known as median of triangle, therefore, CN is not a correct choice.
We can see that segment CR is perpendicular to segment AB, therefore, option B is the correct choice.
Answer: CR
hope this helps have a nice day
two carts have 22 bags of groceries between them. The larger one has 13 bags. How many bags are in the smaller one?
Answer:
9 bags
Step-by-step explanation:
22 - 13 = 9
Since there is two carts and we know that in one of them (bigger one) is 13 bags and that we know there is in sum of two 22 bags, we will need to subract sum of bags from two carts by bags from bigger cart to get amount of bags in small cart (in which one we finding that there will be 9 bags).
The smaller cart contains 9 bags.
How to find the number of bags in the smaller cart as given in the question ?It is given that two carts have 22 bags of groceries between them.
Also given that the larger one has 13 bags in it .
Therefore to find the bags in the smaller cart is =
(22 - 13) = 9 bags.
Therefore the smaller cart contains 9 bags.
To learn more about statement-problem solution, refer -
https://brainly.com/question/18648288
#SPJ2
Jeremy made 2 quarts of lemonade. Which expression can be used to find the number of fluid ounces of lemonade, Jeremy made.
A: 2×2×2
B:2×2×8
C: 2×2×2×2
D:2×2×2×8
The correct answer is D.
There are 32 fluid ounces in a quart so 2 quarts would have 64 fluid ounces and the last equation represents this.
I hope this makes sense and is helpful.
Answer:
D
Step-by-step explanation:
plz help me with this
Answer:
1,887
Step-by-step explanation:
i added all the calories i believe it is the answer unless there are more steps
What is the value of X? show all of your work
Answer:
5
Step-by-step explanation:
We need to use Pythagoras' theorem.
For this we can use the pythagoras formula a^2+b^2=c^2 and rearrange this
We then will have 8^2+b^2=89
(because 89(sqrt) squared is 89)
We can then solve for what x is.
We take away 64 from 89 which is 25
the square root of 25 is 5
Therefore x=5
I just need to know if it’s right. Thanks!
You are correct! It’s C
What multiples to 42 and adds to -2
Answer:
Step-by-step explanation:
xy = 42
x+y = - 2 Substitute into the top equation
y = -2 - x Put in for y
x(-2 - x) = 42 Remove the brackets
-2x - x^2 = 42 Subtract 42 from both sides.
-2x - x^2 - 42 = 0 Put in the more normal order.
-x^2 - 2x - 42 = 0 Multiply by -1
x^2 + 2x + 42 = 0
This cannot be factored. It gives complex roots as it is written. I will give you the answer but I kind of doubt the question is correct.
x1 = - 1 + 6.40i
x2 = -1 - 6.40i
Leave a comment if you have a correction.
Two equations are given below:
m + 4n = 8
m = n − 2
What is the solution to the set of equations in the form (m, n)?
(4, 6)
(2, 4)
(0, 2)
(6, 8)
The solution to the set of equations is (0,2).
Reasoning:
m + 4n = 8 -> 0 + 4(2) = 8
m = n - 2 -> 0 = 2 - 2
Answer:
Yes, B is correct.
Step-by-step explanation:
Tonya bought a sweater that cost $29.99 plus $1.60 tax. She used a coupon for $10 off. She paid the cashier $25. How much change should Tonya receive?
29.99 + 1.60 = 31.59
31.59 - 10 = 21.59
25 - 21.59 = 3.41
Tonya’s change she will receive will be $3.41
I hope this helps.
Tonya should receive $3.41 in change from the cashier after using a $10 coupon and paying $25.
Tonya's change:
Original total cost ,, = $29.99 + $1.60 = $31.59Total with the $10 coupon = $31.59 - $10 = $21.59Change received = $25 - $21.59 = $3.41The graph of a system of parallel lines will have no solutions. (1 point) Select one: a. Always b. Sometimes c. Never
Answer:
Always
Step-by-step explanation:
They never intersect
Answer:
Always
Step-by-step explanation:
The solution to a system of equations graphically is at the point of intersection of the graphs.
If the lines are parallel then they never intersect and so there is no solution.
IN A RUSH PLZ HELP!!!!! ASAP
Evaluate 49/81−−√ .
Enter your answer, as a fraction in simplest term, in the box.
Answer: [tex]\bold{\dfrac{7}{9}}[/tex]
Step-by-step explanation:
[tex]\sqrt{\dfrac{49}{81}}=\dfrac{\sqrt{49}}{\sqrt{81}}=\large \boxed{\dfrac{7}{9}}[/tex]
i need to answer and explain
Answer:
parallel
Step-by-step explanation:
Solve both equations for y to make it easier to compare them.
2x - 5y = 0 ↔ 5y = 2x, or y = (5/2)x.
y = (5/2)x - 3
Since the slopes are the same, the two lines are parallel.
I just need help with 4-6
Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Check all that apply. Josiah’s Music Sample 1 Sample 2 R & B 5 R & B 4 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 4 Josiah’s work: 10/20 = x/1,500. 10x30/20x30=x/1,500. 300=x He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion. He can only solve the proportion by multiplying the numerator and denominator by a common multiple. He should have multiplied the numerator and denominator by 75, not 30, because 20x75=1,500
Answer:
1) He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
2) He did not multiply the numerator and denominator by the correct number to equal 1,500.
5) He should have multiplied the numerator and denominator by 75, not 30, because 20 x 75 = 1,500.
Step-by-step explanation:
Final answer:
Josiah made errors in predicting the number of rock songs on his MP3 player by not averaging the samples correctly and by using the wrong multiplication factor in his proportion calculation. The correct average should be 5, and he should have used a factor of 75 to scale his samples up to the total number of songs.
Explanation:
The student has used a proportion to predict the number of rock songs on his MP3 player based on a sample. However, the prediction method has a few mistakes that should be corrected for an accurate estimate.
Josiah's initial prediction did not consider averaging the number of rock songs from both samples, which would have given a better representation of the average occurrence in the sample set. The correct average is (4+6)/2 = 5 rock songs per sample.
The proportion set up by Josiah is 10/20 = x/1,500, which implies that the 10 rock songs in his samples represent half of all songs played. This should have been compared to the total number of songs on the MP3 player, 1,500, requiring him to multiply by a specific number. Yet, the multiplication factor used (30) was incorrect. To scale up 20 to 1,500, he should use the factor of 75, because 20 × 75 = 1,500.
The correct proportion should be 5/20 = x/1,500, which simplifies to 1/4 = x/1,500, and then x = 1,500/4 = 375. Hence, the predicted number of rock songs based on the sample should be 375.
Plz help me i need it
Answer: a) k(x) = 2ˣ
Step-by-step explanation:
[tex]g(x) = 3(2^x)\qquad h(x)=2^{x+1}\\\\k(x) = (g-h)(x)\\.\qquad =3(2^x)-2^{x+1}\\.\qquad =3(2^x)-2^x\cdot 2^1\\.\qquad =3(2^x)-2(2^x)\\.\qquad =1(2^x)\\.\qquad =\large\boxed{2^x}[/tex]
what is the distance ?
Pythagoras' Theorem
[tex]c^{2} =\sqrt{a^{2}+b^{2}}[/tex]
a = 5
b = 7
[tex]c^{2} =\sqrt{5^{2}+7^{2}}[/tex]
[tex]c^{2} =\sqrt{25+49}[/tex]
[tex]c^{2} =\sqrt{74}[/tex]
c = 8.6023252627c = 8.6 to 1d.p.
The distance is 8.6 units
Step-by-step explanation:see the image
Use the distributive property to factor the expression.
8yz − 16xy
The answer is 8y(yz-2x
Answer:
8y(z - 2x)
Step-by-step explanation:
The two given terms have the following factors in common: 8 and y.
Thus, the product in question is 8y(z - 2x).
Real Answer:
8y(z - 2x)
Thank you altavistard they helped me!
The graphs below have the same shape. What is the equation of the blue graph?
Answer: OPTION B
Step-by-step explanation:
The red graph shows the parent function of a quadratic function (which is the simplest form of a quadratic function), whose vertex is at the origin.
The function g(x) is the result of shift the parent function 2 units to the right and shift it 1 unit up.
Therefore, keeping the above on mind you have that the transformation has the following form:
[tex]g(x)=(x-h)^2+k[/tex]
Where the horizontal shift depends on the value of h and the vertical shift depends on the value of k.
Therefore, you obtain the function:
[tex]g(x)=(x-2)^2+1[/tex]
Answer:
B. [tex]g(x)=(x-2)^2+1[/tex]
Step-by-step explanation:
The equation of the red graph is [tex]f(x)=x^2[/tex].
The blue graph has its vertex at (2,1)
Hence its equation is of the form;
[tex]g(x)=a(x-2)^2+1[/tex]
This graph has y-intercept (0,5).
[tex]5=a(0-2)^2+1[/tex]
[tex]5-1=a(-2)^2[/tex]
[tex]4=4a[/tex]
[tex]1=a[/tex]
The blue graph therefore has equation;
[tex]g(x)=(x-2)^2+1[/tex]
A scale drawing of a rectangular parking lot is shown. The width of the parking lot is smaller than the length. The width of the actual parking lot is 48 feet
Sorry, but is there a picture or anything to see the parking lot? Also what do you need?
Solve the equation f(x) = g(x) by graphing the functions f(x)= 2^x + 1 and g(x) = 5 on the same set of coordinate axes.
Which statements about the solution to the equation are true?
Select each correct answer.
a. The ordered pair that contains the solution to the equation lies in Quadrant II.
b. there are 2 solutions to the equation.
c. The ordered pair that contains a solution to the equation lies in Quadrant I.
d. The solution to the equation is x = 2.
e. The ordered pairs that contain the solutions to the equation lie in Quadrant I and II.
Answer:
C) The ordered pair that contains a solution to the equation lies in Quadrant I.
D) The solution to the equation is x = 2
Step-by-step explanation:
we have
[tex]f(x)= 2^x + 1[/tex]
[tex]g(x)= 5[/tex]
[tex]f(x)=g(x)[/tex]
we know that
The solution is the x-coordinate of the intersection point both graphs
using a graphing tool
The intersection point is [tex](2,5)[/tex]
therefore
The solution is [tex]x=2[/tex]
see the attached figure
Verify each statement
case A) The ordered pair that contains the solution to the equation lies in Quadrant II
The statement is False
The ordered pair that contains the solution to the equation lies in the first quadrant
case B)There are 2 solutions to the equation
The statement is False
The equation has only one solution
case C) The ordered pair that contains a solution to the equation lies in Quadrant I.
The statement is True (see the procedure)
case D) The solution to the equation is x = 2
The statement is True (see the procedure)
case E) The ordered pairs that contain the solutions to the equation lie in Quadrant I and II
The statement is False
The ordered pair that contain the solution to the equation lie in Quadrant I
PLS HELP! FREE POINTS! I NEED THIS QUESTION ANSWERED AS QUICK AS POSSIBLE!
What is the simplest form of the ratio 40 : 16?
A. 20 : 8
B. 10 : 4
C. 5 : 4
D. 5 : 2
E. 10 : 8
The answer is D 5:2
4:16
10:4
5:2
Which system of linear inequalities is represented by the graph?
Answer:
The system of inequalities is
[tex]y\leq -\frac{1}{3}x+2[/tex]
[tex]y>\frac{2}{3}x+3[/tex]
Step-by-step explanation:
step 1
Find the equation of the solid red line
Let
[tex]A(0,2),B(3,1)[/tex]
Find the slope
[tex]m=(1-2)/(3-0)=-1/3[/tex]
The equation of the line is
[tex]y=-\frac{1}{3}x+2[/tex]
The solution of the inequality is the shaded area below the solid red line
therefore
The inequality is
[tex]y\leq -\frac{1}{3}x+2[/tex]
step 2
Find the equation of the dashed blue line
Let
[tex]A(0,3),B(3,5)[/tex]
Find the slope
[tex]m=(5-3)/(3-0)=2/3[/tex]
The equation of the line is
[tex]y=\frac{2}{3}x+3[/tex]
The solution of the inequality is the shaded area above the dashed blue line
therefore
The inequality is
[tex]y>\frac{2}{3}x+3[/tex]
The system of inequalities is
[tex]y\leq -\frac{1}{3}x+2[/tex]
[tex]y>\frac{2}{3}x+3[/tex]
Determine the x-intercept for 3x + 2y = 14. A) (7, 0) B) (0, 7) C) ( 14 3 , 0) D) (0, 14 3 )
Answer:
[tex]\large\boxed{C.\ \left(\dfrac{14}{3},\ 0\right)}[/tex]
Step-by-step explanation:
[tex]\text{The x-intercept is for y = 0.}\\\\\text{Put y= 0 to the equation}\ 3x + 3y = 14:\\\\3x + 3(0) = 14\\\\3x + 0 = 14\\\\3x = 14\qquad\text{divide both sides by 3}\\\\x =\dfrac{14}{3}[/tex]