Answer:
The measures are 22 and 68 degrees
Step-by-step explanation:
for a right triangle, the total angle measure gives 90
Let one of the acute angle be x and the other be y
The measure of one of the acute angle is 4 times the the difference of the measure of the other angle and 5
x = 4(y-5)
Also x + y = 90
Put i into ii
4(y-5) + y = 90
4y-20 + y = 90
5y-20 = 90
5y = 90 + 20
5y = 110
y = 110/5
y = 22
But;
x = 4(y-5)
x = 4(22-5)
x = 4(17)
x = 68
The sum of the acute angles in a right-angled triangle is 90.
The acute angles are 22 and 68 degrees
Let the acute angles be x and y, such that:
[tex]\mathbf{y = 4(x - 5)}[/tex]
So, we have:
[tex]\mathbf{x + y = 90}[/tex]
Substitute 4(x - 5) for y
[tex]\mathbf{x + 4(x - 5) = 90}[/tex]
Open brackets
[tex]\mathbf{x + 4x - 20 = 90}[/tex]
Add x and 4x
[tex]\mathbf{5x - 20 = 90}[/tex]
Add 20 to both sides
[tex]\mathbf{5x = 110}[/tex]
Divide both sides by 5
[tex]\mathbf{x = 22}[/tex]
Recall that:
[tex]\mathbf{y = 4(x - 5)}[/tex]
So, we have:
[tex]\mathbf{y = 4(22 - 5)}[/tex]
[tex]\mathbf{y = 68}[/tex]
Hence, the acute angles are 22 and 68 degrees
Read more about acute angles at:
https://brainly.com/question/10388714
A participant in an experiment who incorrectly believes she is receiving treatment and reports an improvement in their condition is experiencing
blinding.
placebo.
control group.
placebo effect.
Answer:
placebo.
Step-by-step explanation:
I need help quick what does this equal 3 4⁄6 × 7⁄3 × 9⁄2=
Step-by-step explanation:
try that hope this helps out
Look at the photo pick A B C D either one explanation not needed thank you! <3 [13]
Answer: D
Step-by-step explanation: Correct me if I'm wrong.....
The scatterplot and trend line show the number of pass
attempts and passing yards a football team had during
seven seasons.
Because none of the data points lie on the trend line,
you must find two points on the line.
Point 1 can be
Point 2 can be
Using those twe (26, 2855) ope of theline is|
Football Passing Statistics
2875fy
2870
2865
2860
E2855
2850
2845
(233,2850)
(245, 2860)
230 233 238 239 242 245 248 251 254257
Pass Attempts
Done
Answer:
Step-by-step explanation:
The slope of the trend line in the given scatter plot, using the two chosen points (236, 2855) and (248, 2865) is: 0.83.
What is the Slope of a Trend Line?The slope of a trend line = change in y/change in x.
Given the scatter plot, we can choose the following points, which we would use in finding the slope of the trend line:
(236, 2855) and (248, 2865).
Slope = (2865 - 2855)/(248 - 236)
Slope = 10/12
Slope = 0.83
Therefore, the slope of the trend line in the given scatter plot, using the two chosen points (236, 2855) and (248, 2865) is: 0.83.
Learn more about slope of a trend line on:
https://brainly.com/question/3688621
In 1983, a microwave oven cost $78.75. Today, a microwave oven costs $92.66. If the CPI is 177, what is the relation of the actual price of a microwave oven to the expected price, to the nearest cent?
a. The actual price is $46.73 lower than the expected price.
b. The actual price is $5.59 lower than the expected price.
C. The actual price is $13.91 higher than the expected price.
d. The actual price is $71.35 higher than the expected price.
Answer:
its A on e2020
Step-by-step explanation:
The actual price is $46.73 lower than the expected price.
The actual price is $46.73 lower than the expected price.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Now, The Formula for Consumer Price Index is,
⇒ [tex]CPI = C_{t} / C_{0}[/tex]
Where, CPI = consumer price index in the current period
Ct = expected cost in current period
C₀ =cost in the base period
Now, It is given that;
Price in base period in 1983 is, C₀= $78.75
The actual cost of the microwave oven = $92.66
Consumer Price Index= 177
So, We Can expected price of microwave oven in the current period
Ct = CPI * C₀ /100
= 177 × 78.75/100
= $139.39
Thus, Difference between the actual price and expected price is,
= 139.39 - 92.66
= $46.73
Therefore, The actual price is $46.73 lower than the expected price.
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ7
Tomic and Brooke make a game of shooting free throws. Each basket is worth 2 points. Each miss is worth
they make 16 baskets. What is the correct number of points that Tomic and Brooke scored?
points. Out of 30 free throws,
Select the correct answer.
A 40
B. 50 1 / 2
c. 28
D. 29 1/2
Answer:
Its technically impossible to tell if you don't tell us how many throws each person did.
Step-by-step explanation:
but i would guess 40
Answer:
Same I would guess A) 40 as well
Step-by-step explanation:
Which of the following angles is one of the two reflexive interior angles in
this polygon?
Pls help me
Answer:
Its D i got it right
Answer:
the answer is d if u look u will see that h is the
Step-by-step explanation:
The vertices of a polygon are shown below.
P(1, 3). Q2,3), R(-4, 1),S(-4,-3), T(-2, -5), U(1, -5), V(3, -3),w(3, 1)
Which polygon has these vertices?
Hexagon
Plzzz help I will mark brainlest my time is running out!!!!!
Answer:
The Answer is C
Step-by-step explanation:
This applies to your exam.
Answer:
C
Step-by-step explanation:
This is correct on edge 2020.
Solve 3/5x=15
Please
Answer:
dude
if 3 = 15
5x = 5.5=25
Step-by-step explanation:
hope it helps
Consider the function () = 2 + 3. Find its average rate of change on the interval −1 ≤ ≤ 3.
Answer:
See Explanation
Step-by-step explanation:
The function is not properly given. So, to solve this question I'll assume it is:
f(x) = x² + 3
Required
Calculate the average rate of change on −1 ≤ x ≤ 3.
[The average rate of change (R) is calculated using:]
R = (f(b) - f(a))/(b - a)
[Where]
a ≤ x ≤ b = −1 ≤ x ≤ 3.
[This means that]
a = -1
b = 3
[Solving f(b); We have]
f(x) = x² + 3
[Substitute b for x]
f(b) = b² + 3
[Substitute 3 for b]
f(3) = 3² + 3 = 9 + 3 = 12
[Solving f(a); We have]
f(x) = x² + 3
[Substitute a for x]
f(a) = a² + 3
[Substitute -1 for b]
f(-1) = (-1)² + 3 = 1 + 3 = 4
[So, the equation becomes]
R = (f(b) - f(a))/(b - a)
R = (12 - 4)/(3 - (-1)
R = 8/(3+1)
R = 8/4
R = 2
[Hence, the average rate of change is 2]
If the mode of the data is 34.5, find the missing frequency 'f':
Class
0-15
15 - 30
30 – 45
45 - 60
60 – 75
Frequency
2
7
f
3
7
please answer!
Given:
Frequency distribution table.
Mode = 34.5
To find:
The value of missing frequency 'f'.
Solution:
Formula for mode is
[tex]Mode=l+\dfrac{f_1-f_0}{2f_1-f_0-f_2}\times h[/tex]
where, l is lower limit of modal class, [tex]f_1[/tex] is frequency of modal class, [tex]f_0[/tex] is frequency of preceding class, [tex]f_2[/tex] is frequency of succeeding class, h is class size.
Mode is 34.5, so the modal class is 30-45. So,
[tex]l=30,f_1=f,f_0=7, f_2=3,h=45-30=15[/tex]
Putting these values in the above formula, we get
[tex]34.5=30+\dfrac{f-7}{2f-7-3}\times 15[/tex]
[tex]34.5-30=\dfrac{f-7}{2f-10}\times 15[/tex]
[tex]4.5=\dfrac{f-7}{2f-10}\times 15[/tex]
Divide both sides by 15.
[tex]\dfrac{4.5}{15}=\dfrac{f-7}{2f-10}[/tex]
[tex]0.3=\dfrac{f-7}{2f-10}[/tex]
[tex]0.3(2f-10)=f-7[/tex]
[tex]0.6f-3=f-7[/tex]
Separating variable terms, we get
[tex]0.6f-f=3-7[/tex]
[tex]-0.4f=-4[/tex]
Divide both sides by -0.4.
[tex]f=\dfrac{-4}{-0.4}[/tex]
[tex]f=10[/tex]
Therefore, the value of f is 10.
2) Graph by making a
table.
y=x-4
Answer:
Explanation:
y= x-4
is in the slope-intercept form for a linear equation,
y= mx+b
, where
m
is the slope and
b
is the y-intercept. In the given equation,
m= 1
and
b= 4
.
To make a table to graph, give various values to
x
and solve for
y
.
Ordered Pairs
x......y
4...8
2....6
0.......4
2......2
4......0
Plot each ordered pair and draw a straight line through the points.
graph{y=-x-4 [-14.24, 14.23, -7.12, 7.12]}
Mrs. Crimm signed up to bring two dozen cupcakes for the school bake sale. She made one dozen, but her children ate 3 of the cupcakes. Which of the following could be used to determine c, the number of cupcakes Mrs. Crimm needs to bake?
Please help me. Thank you to anyone that helps!
Can someone explain what f(12) means?
Answer:
A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value. Example: f(x) = x/12 ("f of x equals x divided by 12")
Step-by-step explanation:
open this pic and I'll give brainliest answer
Answer:
wait im confused open the picture or answer it?
Step-by-step explanation:
495 = 165 + 55m
What is m?
Answer: M = 6 can i have brainliest?
Step-by-step explanation:
Answer:
m=6
Step-by-step explanation:
First isolate the m by subtracting 165 from both sides.
495-165=330
165-165=0
330=55m
Since you know 330 is 55m to find m all you need to do is divide by 55 on both sides.
330/55=6
55m/55=m
6=m
For which x is f(x)=-3?
Answer:
This Problem has no answer
Step-by-step explanation:
if you have 1 variable you at least 2 facts that aren't the same to solve for the variable
Answer:
This problem does not have a definite answers
It can have infinite answers
What are the three pairs of parallel segments in ABC?
Answer:
AB || YZ, BC || XY, AC || XZ
In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band.
please help
Answer:
whats the question?
Step-by-step explanation:
Answer:
Okay so by the looks of it you need to know how many people aren't in anything.
Step-by-step explanation:
110 + 240 = 350
450 - 350 = 100
100 - 60 = 40
So 40 students are in nothing. But you probably need to know how many students are in band. I would guess around 30 students are in band.
I hope this helped if it didn't I'm sorry.
Find the surface area of this triangular prism.
Please explain as well, I’m struggling with it.
Answer:
SA= 84 cm^2
Step-by-step explanation:
So first locate all the surfaces
we got 5 sides in total
Now calculate each one
Lets start with the 2 triangles
so formula for area of triangl is 1/2(b*h)
So in this case it’s 6
Now there are 2 identical triangles
So Times the 6 by 2
You’ll get 12
Thats 2 sides
Now for the side with the rectangle of 5cm and 6cm
Area of rectangle is 5*6=30
That would onay be 1 side
Now for the bottom of the prisim which is the side with 4cm and 6cm
Same rectangle so multiply
4*6=24
Thats another side down
The last side is on the left with the back not visible. The two dimensions are 6 and 3
Now multiply 6*3
18
Now add up your total
18+24+12+30=84
So 84 cm^2 OR 84 square centimeters
Answer:
84 [tex]cm^{2}[/tex]
Step-by-step explanation:
To find the surface area of a prism, one will have to find the area of each of the sides of the prism, then add the areas up. First, find the dimensions of each of the sides
Front; 5 x 6
Front triangle; 3 x 4
Back triangle; 3 x 4
Bottom; 4 x 6
Back; 3 x 6
The front is a rectangle, hence one has to [tex]base * height[/tex] to find the area;
5 x 6
= 30
The front triangle is a triangle, hence on has to do [tex]\frac{base * height}{2}[/tex] to find the area;
[tex]\frac{3*4}{2}[/tex]
= 6
The back triangle is a triangle, hence on has to do [tex]\frac{base * height}{2}[/tex] to find the area;
[tex]\frac{3*4}{2}[/tex]
= 6
The back is a rectangle, so one has to do [tex]base * height[/tex] to find the area;
4 * 6
= 24
The bottom is a rectangle, o one has to do [tex]base * height[/tex] to find the area;
3 * 6
= 18
Noe one has to add up all the areas to find the total surface area;
Front + Front_triangle + Back_triangle + Bottom + Back
30 + 6 + 6 + 24 + 18
= 84
Tim has x beads. Amy has two more beads than Tim. Sarah has five times as many beads as Amy. How many beads does Sarah have?
Answer:well we need to know how mmch tim has so like
x?+2 is amy
x?+2*5 is sarah
Step-by-step explanation:
Starter
Question 1: Simplify each of the following
(a) y + y + y + y
(b) w+W+W+W + W
(c) a + a + a + a + a + a
(d) 5+$+
(e) nun
Og+ 8 + 8 + g-8
(g) y + y + y + y - y - y
(h) + p-p-p
(1) 3y + 2y
0) 4a + 3a
(k) 9k + 5k
("m+ m
(m) 150 - 200
(n) 6w - 3w
(0) 10y + 3y - 5y
(p) 20 - 140
Answer:
a)y^3
o)7a^2
I know only that
Simplify
hurrryyyyyy pleaseee
Answer:
1
Step-by-step explanation:
What is the slope of this line? II y = -3x + 1
Answer:
-3
Step-by-step explanation:
y = mx + b
m represents the slope, and on this equation, instead of m we have -3. So -3 is the slope
Answer:
Slope m = -3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -3x + 1
Step 2: Break Function
Identify Parts
Slope m = -3
y-intercept b = 1
Which is the solution of the quadratic equation (4y - 3)2 = 72?
( O
A y= 3 +677 and y = 3-6v2
€
D y = 3 +672 and y =
-3-6√
4
O y= 92 and y= -312
4
4
O y = 9/7 and y = 32
Answer: 2 one number 2
Step-by-step explanation:
It's is number 2
The required solution of the quadratic equation (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.
What is simplification?
Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
Given expression, (4y - 3)² = 72
Simplifying the above expression:
(4y - 3)² = 72
4y - 3 = ±√72
4y - 3 = ±6√2
y = 3 ± 6√2/4
Thus, the required solution of the quadratic equation (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ7
Dilate by a scale
factor of 1/2
AL
D
Answer:
The image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:
D' (0, 1) L' (1/2, 5/2) or L'(0.5, 2.5)W' (5/2, 2) or W'(2.5, 2)`The figure of the dilated image is attached below.
Step-by-step explanation:
Given the triangle ΔDLW withe the vertices
D(0, 2)L(1, 5)W(5, 4)As the scale factor 1/2 < 0, thus the image triangle will be smaller than the original triangle.
The rule of dilation is given by
Dilation: (x, y) → (1/2x, 1/2y), centered at (0, 0)
D(0, 2) → D' (1/2x, 1/2y) → D' (1/2(0), 1/2(2)) = D' (0, 1)
L(1, 5) → L'(1/2x, 1/2y) → L'(1/2(1), 1/2(5)) = L' (1/2, 5/2)
W(5, 4) → W'(1/2x, 1/2y) → W'(1/2(5), 1/2(4)) = W' (5/2, 2)
Therefore, the image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:
D' (0, 1) L' (1/2, 5/2) or L'(0.5, 2.5)W' (5/2, 2) or W'(2.5, 2)`The figure of the dilated image is attached below.
The value of (3a – 4b + 2) × (5a + 6) for a = 1 and b = -2 is
Step-by-step explanation:
We know that
a=1 and b= -2
{3*1-4*(-2)+2} .{5*1+6}
= (13-11)
=2
Answer:
143
Step-by-step explanation:
(3a – 4b + 2) × (5a + 6)
a = 1 ; b = - 2
(3(1) – 4(-2) + 2) × (5(1) + 6)
Inputting the values of a and b
(3 - (-8) + 2) * (5 + 6)
(3 + 8 + 2) * (11)
13 * 11
= 143
Determine what regions make up the given probabilities - shade the Venn Diagram,
You are moving to a new apartment and need to hire a moving company. You’ve researched local moving companies and found these price options.
Company Flat Fee Hourly Rate
Company A $50 $25
Company B $40 $30
Company C $60 $20
Company D $150 $5
If you anticipate that it will take about 4 hours to move everything, what is the approximate percentage difference of the best and worst deals according to their unit costs?
A.
16%
B.
18%
C.
19%
D.
21%
Answer:
answer is C. 19%.
sjjsnsmsmsmamsmsjsk