Answer:
Step-by-step explanation:
∠ R + ∠T = 90 {R & T are complementary}
3x + 2x = 90
5x = 90
x = 90/5
x = 18
This net can be folded to make a square pyramid. What is the surface area of the pyramid?
Answer:
[tex]85in^2[/tex]
Step-by-step explanation:
to find the surface area we need to find the followng areas:
area of the square area of a triangle and multiply it by 4 (because there are 4 triangles)And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:
[tex]a_{square}=l^2[/tex]
where [tex]l[/tex] is the length of the side: [tex]l=5in[/tex]
thus the area of the square is:
[tex]a_{square}=(5in)^2\\a_{square}=25in^2[/tex]
Area of the triangles:
the are of 1 triangle is given by
[tex]a_{triangle}=\frac{b*h}{2}[/tex]
where [tex]b[/tex] is the base of the triangle: [tex]b=5in[/tex] (the base of the triangle is the side of the square)
and [tex]h[/tex] is the height of the triangle: [tex]h=6in[/tex]
thus, the area of 1 triangle is:
[tex]a_{triangle}=\frac{(5in)*(6in)}{2}\\ a_{triangle}=\frac{30in^2}{2}\\ a_{triangle}=15in^2[/tex]
the area of the 4 triangles is (we multiply by 4):
[tex]a_{4-triangles}=4(15in^2)\\a_{4-triangles}=60in^2[/tex]
finally we add the area of the square and the area of the 4 triangles to find the total surface area:
[tex]Surface=25in^2+60in^2\\Surface=85in^2[/tex]
Answer:
85 square inches
Step-by-step explanation:
If f(x) = -2x + 8 and g(x) = x + 7, what is
F•g)(2)?
Find the equation of the line. Use exact numbers. Please hurry
Answer:
y = -3x +7
Step-by-step explanation:
The y intercept is 7. It is where the line crosses the y axis
We also need to find the slope
We need two points (0,7) and (3,-2)
m = (y2-y1)/(x2-x1)
= (7 - -2)/(0-3)
(7+2)/(0-3)
9/-3
-3
The equation of a line is
y = mx+b where m is the slope and b is the y intercept
y = -3x +7
This is for geometry and I need help...
Answer:
I would say C but i am not sure
Step-by-step explanation:
sorry if I am wrong
4a+3=15 Hi what is the answer and how do I get it?
Answer:
4a+3=15
Step-by-step explanation:
Let's solve your equation step-by-step.
4a+3=15
Step 1: Subtract 3 from both sides.
4a+3−3=15−3
4a=12
Step 2: Divide both sides by 4.
4a
4
=
12
4
a=3
Answer:
a=3
Combine the like terms to create an equivalent expression:
- 2k - (-5) +1
Answer:
=−2k+6
Step-by-step explanation:
(happy to help)
Final answer:
Combining like terms in the expression -2k - (-5) + 1 results in -2k + 6.
Explanation:
Combine the like terms to create an equivalent expression:
Given expression: -2k - (-5) + 1
To combine like terms, simplify each part of the expression:
-2k stays as is.
-(-5) becomes +5.
1 stays as is.
Combining these simplified parts: -2k + 5 + 1 = -2k + 6
What is the answer to this equation -156-(-45)=
Answer:
-111
Step-by-step explanation:
-156 + 45 = -111
double negative becomes positive
Answer:
-201
Step-by-step explanation:
-156-(-45)= 156+45
156+45=201 add the - sign
What is the domain of the function y= 3Vx
Based on the graph, the domain of the function [tex]y=3\sqrt{x}[/tex] is [0, ∞].
In Mathematics and Euclidean Geometry, a domain is the set of all real numbers (x-values) for which a particular relation or function is defined.
The horizontal section of any graph is typically used for the representation of all domain values. Additionally, all domain values are both read and written by starting from smaller numerical values to larger numerical values, which means from the left of a graph to the right of the coordinate axis.
By critically observing the graph shown in the image attached below, we can logically deduce the following domain:
Domain = [0, ∞], {x|x ≥ 0}.
Complete Question:
What is the domain of the function [tex]y=3\sqrt{x}[/tex]?
What is the standard form of this function?
f(x) = (x - 2)2 + 6
A. f(x) = x² – 8x+10
B. f(x) = x2 - 8x + 10
C. f(x) = -x² - 6x + 10
D. f(x) = x2 - 4x + 10
Answer:
D
Step-by-step explanation:
(x-2)(x-2)+6
FOIL
Graph the function f(x) = (x + 1)(x - 5). Use the drop-
down menus to complete the steps needed to graph the
function
Graph: f(x) = (x + 1)(x - 5)
y
6
-4
-2
1. Identify the x-intercepts: (-1,0) and (5,0)
2. Find the midpoint between the intercepts: (2,0)
3. Find the vertex:
4. Find the y-intercept:
5. Plot another point, then draw the graph.
Draw
Click or tap the graph to plot a point.
Answer:
Vertex is (2,-9)
Y- intercept is (0,-5)
Step-by-step explanation:
The vertex of the parabola are (2, -9).
The x-intercepts: (–1, 0) and (5, 0).
The midpoints between the intercept are (2, 0).
The y-intercept is (0, -5).
What is equation of the vertex of a parabola?The equation of the vertex of the parabola;
y = a (x - h)² + k
Where h and k are the vertexes of the parabola.
Given that;
Graph the function f(x) = (x + 1)(x – 5).
Now, Comparing this to the general form, the vertex is (2, -9).
And, The x-intercept is the point where the graph intersects the x-axis or the point where y or f(x) is 0.
f (x) = 0
(x + 1) (x - 5)= 0
x = - 1
x = 5
Thus, The x-intercepts: (–1, 0) and (5, 0).
The midpoints between the intercept are;
(- 1 + 5) / 2, (0 + 0)/2
(2, 0)
Hence, The midpoints between the intercept are (2, 0).
The y-intercept is the point where the graph intersects the y axis or the point where x is 0.
f(0) = (0+1). (-5) = 1(-5) = -5
The y intercept is (0, -5).
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Answer will get the brainliest
Desenhe em uma folha dois quadrados de lado 1dm. Trace uma diagonal em cada um e recorte-os
Answer:
The given question is
Draw two 1 dm squares on a sheet of paper. Draw a diagonal on each one and cut them out.
So, you need to draw square with sides of 1 dm. However, first, you need to transform from dm to cm.
We know that 1 decimenter (dm) equals 10 centimeters (cm).
That means the square sides are 10 centimerers long. So, you need to draw two squares like the first image attached shows.
Then, to draw their diagonals, you need to draw a line segment from one corner to its opposite corner, you should have an inclined line acroos each square. As the second image attached shows.
There you have it. Two squares of 1 dm side with on diagonal each.
Need help figuring this out!
Answer:
1. 10 + 10 + 10 = 30
2. 5 + 5 + 10 = 20
3. 4 + 4 + 5 = 13
4. 5 + 9 x 2 = 23
Step-by-step explanation:
I hope this helps! Stay safe and have a wonderful day! :3
Answer:
5 + 4 + 10 = 19
Step-by-step explanation:
the boy is wearing a pair of shoes and holding two popcorns.
The regular polygon with 6 sides has a perimeter of 164. Find the length of the side of
this regular polygon.
Answer:
27 1/3
Step-by-step explanation:
The polygon has a perimeter of 164 and 6 sides.
Divide 164 by 6 sides to get the side lengths for each side.
164/6 = 27 1/3
Final answer:
To find the length of a side of a regular hexagon with a perimeter of 164 meters, you divide the perimeter by the number of sides, which results in approximately 27.33 meters per side.
Explanation:
The regular polygon in question is a hexagon since it has 6 sides. To find the length of one side of the polygon, we divide the perimeter of the polygon by the number of sides it has. The formula for the perimeter (P) of a regular polygon is P = number of sides × length of one side.
Given the perimeter (P) is 164 meters, we find the length of one side (s) by dividing the perimeter by the number of sides (6).
Length of one side (s) = P / number of sides = 164 / 6 = 27.333... meters
Therefore, the length of one side of the hexagon is approximately 27.33 meters.
what is the value of the expression
Answer:
Step-by-step explanation:
Multiplying bases with exponents means you have to multiply the base and add the exponent. So:
(10⁴)(5²) = 50⁶
(10³)(5³) = 50⁶
Now the equation is (50⁶/50⁶)³
Anything divided by itself will be one, so the number inside the parentheses is 1.
Now the equation is 1³, and 1x1x1 is 1.
Explain how to find the volume of any composite figure
Answer: you can find the composite figure's volume by finding the volumes of those combined rectangular prisms and adding them up.
Step-by-step explanation:
Answer:
Sample response: Look at the figure and take note of the types of three-dimensional figures that make it up. Find the volume of each figure. Add the volumes to find the total volume.
Step-by-step explanation:
Which correlation coefficient represents a moderate negative correlation? r = –0.04 r = –0.24 r = –0.64 r = –0.94
The correlation coefficient is a number that indicates the direction
and closeness of points of a line of best of fit.
So it tells us two things.
It tells us the direction of the line of best fit
and it tells us the closeness of the points.
Usually, anything between -0.9 and -0.6 has a moderate negative correlation. If you look at this on a graph, you will notice that the points definitely resemble a line so we say it's moderate.
It will be a negative correlation because the slope is negative.
Answer:
c. r = –0.64
Step-by-step explanation:
edgu 2020
Find the volume of the sphere.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth.
the radius is 10
Answer:
Step-by-step explanation:
volume of sphere=4/3 πr³
=4/3 π×10³=4000/3 π
=4000×3.14÷3=12560/3
=4186.67
.) 3x –9y=-18
What is the answer to this
Solving steps:
3x - 9y = -18
divide both sides by 3
3x - 18 + 9y
therefore, x = 6+3y
We cannot solve this further, therefore x = 6 + 3y
Given the function f(x) = -2x2 + 4x - 7, find f(-4).
-55
-7
25
Answer:
f(-4)= -55
Step-by-step explanation:
We want to find f(x), or y, when x is equal to -4.
Therefore, we can substitute -4 in for x in the function.
f(x) = -2x^2 + 4x - 7
Substitute -4 in for x
f(-4) = -2(-4^2) + 4(-4) - 7
Evaluate the exponent
f(-4)=-2(16)+4(-4)-7
Multiply -2 and 16
f(-4)= -32+4(-4)-7
Multiply 4 and -4
f(-4)=-32-16-7
Subtract
f(-4)=-55
Write an expression to represent:
Eight less than the product of two and a number xxx.
Answer:
its 2x−82, x, minus, 8.
Step-by-step explanation:
The horizontal cross-sectional shapes of the given prism are all congruent.
Answer:
true
Step-by-step explanation:
the circumference of a circular pool cover is about 88 meters what is the measure of the length of the radius of the pool cover round your answer to the nearest whole number
Answer: The length of radius of a circular pool is 7 meters
Step-by-step explanation:
Given that the circumference of a circular pool cover is about 88 meters
To find the length of radius
As we know circumference of a circle is given by
[tex]C=2\pi r[/tex] where C is circumference , and r is radius of the circle
Now as according to question we have
[tex]88= 2\pi r\\\\\Rightarrow 88= 2\times \dfrac{22}{7} r\\\\\Rightarrow r= \dfrac{88\times 7}{2\times 44} = 7 m[/tex]
Hence,the length of radius of a circular pool is 7 meters
A relative frequency histogram is given with four classes. The first three bars have a height of 0.25, 0.35, and 0.1 respectively. What is the helght of
the fourth bar?
Answer:
answer is 0.3
Step-by-step explanation:
To find the height of the fourth bar in a relative frequency histogram, calculate the total frequency, subtract the sum of the first three frequencies, and divide the remaining frequency by the total frequency.
Explanation:The relative frequency histogram given has four classes. The heights of the first three bars are 0.25, 0.35, and 0.1 respectively. To find the height of the fourth bar, we need to calculate the total frequency first. Then, subtract the sum of the first three frequencies from the total frequency. Finally, divide the remaining frequency by the total frequency to get the height of the fourth bar.
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Madison has three jobs. This week she earned $236 waitressing, $68 delivering packages, and $96 babysitting. What percent of her money earned this week came from waitressing?
Answer: 59%
Step-by-step explanation:
First, you should add all of the money together.
= $268 + $68 + $96
= $400
Now, put it into a fraction. Remember to have a percentage, you have to multiply the division by 100.
= [tex]\frac{268}{400}[/tex] x 100
= 59%
What is the factored form of
z^2 - 2z - 3
Answer:
z=1 z=-3
Step-by-step explanation:
take z^2 times it to -3 then factor for -2 and reverse the answer
Kiran, Mai, Jada, and Tyler went to their school carnival. They all won chips that they could exchange for prizes. Kiran won as many chips as Jada. Mai won 4 times as many chips as Kiran. Tyler won half as many chips as Mai.
Write an expression for the number of chips Tyler won. You should only use one variable: , which stands for the number of chips Jada won.
Answer:
Mai, Tyler Kiran,Jada ratio = 4,2,1,1Tyler is double that of Jada
So expression could be f(t) 2 x 1t x 5 = 10
Step-by-step explanation:
The expression for the number of chips Tyler won, based on the number of chips Jada won, is 2j.
Explanation:In this problem, we are asked to develop an expression for the number of chips Tyler won based on the amount Jada won. The relationships between the chips won are as follows: Kiran won as many chips as Jada (so if Jada won j chips, Kiran also won j chips), Mai won 4 times as many chips as Kiran (so Mai won 4j chips), and Tyler won half as many chips as Mai (so Tyler won 1/2 * 4j = 2j chips).
So, using j to represent the number of chips Jada won, the expression for the number of chips Tyler won would be 2j.
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The 5th term in a geometric sequence is 140. The 7th term is 35. What are the possible values of the 6th term of the sequence?
Answer:
±70
Step-by-step explanation:
Using a geometric sequence, it is found that the possible values of the 6th term of the sequence are -70 and 70.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The nth term can also be written as a function of the mth term, as follows:
[tex]a_m = a_1q^{n-m}[/tex]
In this problem, considering that we have the 5th and the 7th term, we have that:
[tex]a_7 = a_5q^2[/tex]
Since [tex]a_5 = 140, a_7 = 35[/tex]:
[tex]q^2 = \frac{a_5}{a_7}[/tex]
[tex]q^2 = \frac{35}{150}[/tex]
[tex]q^2 = \frac{1}{4}[/tex]
[tex]q = \pm \frac{1}{2}[/tex]
[tex]\pm \frac{1}{2}[/tex] of 140 is [tex]\pm 70[/tex], hence the possible values of the 6th term of the sequence are -70 and 70.
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David played a slot machine. W(t) models his winnings (in dollars, where a negative number means David is losing) as a function of time t (in hours).
When did David's winnings decrease faster?
A. Between 1 and 4.5 hours since he started playing
B. Between 4.5 and 6 hours since he started playing
C. The winnings decreased at the same rate over both intervals
David's winnings decrease faster Between 4.5 and 6 hours since he started playing. so option B is correct.
What is the average rate of change?The average Rate of Change of the function f(x) can be calculated as;
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]
David played a slot machine.
W(t) models his winnings (in dollars, where a negative number means David is losing) as a function of time t (in hours).
Lets calculate the average rate of change of W(t).
ARC ( 1, 4.5)
[tex]W(t) = \dfrac{W(4.5)- W(1)}{4.5-1}\\\\W(t) = \dfrac{-70}{3.5}\\\\W(t) = -20\\[/tex]
ARC( 4.5, 6)
[tex]W(t) = \dfrac{W(6)- W(4.5)}{6-4.5}\\\\W(t) = \dfrac{-51}{1.5}\\\\W(t) = -34\\[/tex]
Thus, the average rate of change over the interval ( 4.5, 6) is greater than the average rate of change over the interval ( 1, 4.5).
Hence, David's winnings decrease faster Between 4.5 and 6 hours since he started playing.
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What kind of triangle is this?
A.obtuse
B.supplementary
C.acute
D.right
Answer:
option D
Step-by-step explanation:
Since one of the three angles is 90° , it is a right triangle