Answer:
B) 102°
Step-by-step explanation:
Reflection is an example of transformation in which a given image is flipped over a reference line which changes the orientation of the figure, but not its length and shape. A rotational transformation is formed by two reflections.
In the given question, image ABCD is reflected over lines I, then m at an angle of 51° to each other. Since rotation is twice the acute angle with respect to the center of rotation, therefore ABCD rotates through an angle of 102°.
Subtract.
5 3/4 - 2 7/8 HELLLLLLLPPPPPPPPPPP
Answer: HI, Hope this helps you dear!
Step-by-step explanation:
3/4 - 2 7/8 = 2.8755
Answer:
2 7/8
Step-by-step explanation:
5 3/4 = 23/4
2 7/8 = 23/8
23×2=46
4×2=8
46/8-23/8= 2 7/8
Which of the following functions is graphed below? Please help ASAP
Answer:
its not very clear can you take a picture again?
Step-by-step explanation:
$4.25 for 64 fluid ounces .
What is the unit rate
Answer: $0.07 per unit
Step-by-step explanation:
4.25/64
Answer:
0.07
Step-by-step explanation:
divide
A chemist is adding pure (100%) acid to a 12 liter solution that is 15% acid in order to increase it to 49% acid. How much pure acid must she add?
How many ounces of 35% ethanol must be added to a 23 ounce mixture that contains 26% ethanol in order to obtain a mixture of 30.86% ethanol?
How many liters of 30% acid must be added to 10 liters of 53.66% acid in order to obtain a mixture that is 43% acid?
Answer:
1) 8 liters of pure acid
2) 27 liters of 35% ethanol
3) 8.2 liters of 30% acid
Step-by-step explanation:
The inicial amount of acid is 15% of 12 L, and the inicial volume is 12L.
Adding 'x' L of 100% acid, we have the amount of acid equal to 12 * 0.15 + x * 1, and the volume of 12 + x. The concentration is the amount of acid over the volume, so we have that:
(12*0.15 + x) / (12 + x) = 49/100
(1.8 + x)*100 = (12 + x) * 49
180 + 100x = 588 + 49x
51x = 408
x = 8 liters of pure acid
Similar to the solution above, for the second question we have:
(23*0.26 + 0.35*x) / (23 + x) = 30.86/100
(5.98 + 0.35*x)*100 = (23 + x) * 30.86
598 + 35x = 709.78 + 30.86x
4.14x = 111.78
x = 27 liters of 35% ethanol
For the third question, we have:
(10*0.5366 + 0.3*x) / (10 + x) = 43/100
(5.366 + 0.3x)*100 = (10 + x)*43
536.6 + 30x = 430 + 43x
13x = 106.6
x = 8.2 liters of 30% acid
Please hurry
What is the solution?
Answer:
no solution
Step-by-step explanation:
I tried to solve this by doing the square root of [tex]x^{2} +49[/tex], which is x+7. x+7≠x+5
Solve the system of equations.
y= 3x
y= x2-10
Answer:
(-5, 2) and (2, 6)
Step-by-step explanation:
Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.
3x = x^2 - 10
x^2 - 3x - 10 = 0
Use the quadratic equation to solve for x.
x = - 5, 2
Now solve for y using these two values of x by substituting it back into the equations.
y = - 15, 6
In coordinate form, (-5, 2) and (2, 6)
Use the given D to find the range of each function: e f(x)=x−4, D={−2, −1, 3}
PLS HELP!!! URGENT
Answer: R={-6,-5,-1}
Step-by-step explanation:
If D= -2
substitute x for -2
f(x)= -2-4=-6
then do that for the rest
Please answer!!! i’m trynna pass
Answer:
-6 ≤y≤9
Step-by-step explanation:
The range is the values for the outputs
The range is from -6 inclusive to 9 inclusive
-6 ≤y≤9
Anita has two options for how to invest $1,000. Plan A: put the 1,000 in an account that pays $100 per year. Plan B: put the 1,000 in an account that pays 5 percent interest per year. What statement is true? Plan A will be worth more than plan B after two years. Plan A will be worth more than plan B after one year. Plan B will be worth more than plan A after three years. Plan B will be worth more than plan A after four years.
Answer:
True Plan A will be worth more than plan B after two years.
True Plan A will be worth more than plan B after one year.
False Plan B will be worth more than plan A after three years.
False Plan B will be worth more than plan A after four years.
Step-by-step explanation:
plan A proves 10% Standard interest as it is $100 every year
plan B proves $50 per year Standard interest and may increase if this was CI interest as it may include interest on interest but nothing was mentioned that Plan B was CI type interest or any different from plan B type.
Because of this we can only agree option 1+2 out of 1-4 is true.
Ruth contributes 18% of the total cost of her individual health care. This is $67.50
deduction from each of her biweekly paychecks. What is the total value of her individual
coverage for the year?
Total value of annual health coverage = $ 9000
Calculation of total annual health coverage
Let the total annual health care expenditure = x
Ruth pays 18% of total health care expenditure, which is $ 67.50 for two weeks (ie 15 days)
So, total paid for one month = 67.5 x 2 = 135
And, total paid for full year = 135 x 12 = 1620
As mentioned, she pays 18% of total annual health care expenditure
Hence, 18% x = 1620
18 x / 100 = 1620
x = (1620 x 100) / 18
= 9000
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Answer:
Step-by-step explanation:
Total value of annual health coverage = $ 9000
Calculation of total annual health coverage
Let the total annual health care expenditure = x
Ruth pays 18% of total health care expenditure, which is $ 67.50 for two weeks (ie 15 days)
So, total paid for one month = 67.5 x 2 = 135
And, total paid for full year = 135 x 12 = 1620
As mentioned, she pays 18% of total annual health care expenditure
Hence, 18% x = 1620
18 x / 100 = 1620
x = (1620 x 100) / 18
= 9000
Please don't troll, and actually answer the question. If joking around; will get reported. First person to answer this APPROPRIATELY will get brainliest. Again, if playing around, that person will get reported.
Answer:
$350 (profit)
Step-by-step explanation:
add the expenses together and subtract the product from the revenue
9,000 + 200 = 9,200
9,550 - 9,200 = 350
the sum of two integers is 19. the larger of the two numbers is 3 more than 3 times the smaller integer. what are the integers
Answer:
4 an 15
Step-by-step explanation:
The two integers whose sum is 19 and the larger of the two numbers is 3 more than 3 times the smaller integer are 4 and 15 respectively.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The smaller interger be 'x'.
So, The larger integer is 3x + 3.
Given, The sum of two integers is 19.
Therefore, x + 3x + 3 = 19.
x + 3x + 3 = 19.
4x = 16.
x = 4, Hence the larger integer is 15.
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PLZ HELP ASAP!!! Peter and his four brothers combined all of their money to buy a video game. If 25% of the total money is Peter's, and $15.00 of the total money is Peter's, how much do all five brothers have combined?
A: $3.75
B: $75
C: $60
D: 45
Answer:
c
Step-by-step explanation:
25% = 15$ so 15+15+15+15=60
The length of a rectangle is 9 inches longer than the width. If the area is 205 square inches, find the
rectangle's dimensions. Round your answers to the nearest tenth of an inch.
Answer:
L=19.5in w=10.5in
Step-by-step explanation:
Draw a rectangle. If the length is 9 inches longer than its width, we can write the width as "w" and the length as the width + 9
Area is (width)(Length) = (width)(width+9)
W
----------
| |
| |
| | L = w+9
| |
| |
-----------
A = (w+3)(w)
A = w2 + 9w = 205.
(Problem states that area is 205 sq in)
Need to solve this quadratic equation
w2 + 9y - 205 = 0
Factor:
(w - 10.51) (w + 19.51) = 0
So
w - 10.51 = 0. or. w + 19.51 = 0
Solve these and get
w = 10.51. or. w = -19.51
Only one that makes sense in real life is the positive one.
So the dimensions are
Width = 10.51 inches
Length = 19.51 inches
6x + 3y = 9
2x + 3y = 1
Solve the system of equations.
A)
x = 2, y = -1
B)
x = -1, y = 2
C)
x=1/2,y=3
D)
x=3,y=-1/2
Answer:
A
Step-by-step explanation:
Given the 2 equations
6x + 3y = 9 → (1)
2x + 3y = 1 → (2)
Subtracting the 2 equations term by term eliminates the y- term
Subtract (2) from (1) term by term, that is
(6x - 2x) + (3y - 3y) = 9 - 1
4x = 8 ( divide both sides by 4 )
x = 2
Substitute x = 2 into either of the 2 equations and evaluate for y
Substituting into (2)
2(2) + 3y = 1
4 + 3y = 1 ( subtract 4 from both sides )
3y = - 3 ( divide both sides by 3 )
y = - 1
The solution is x = 2, y = - 1 → A
Indicate the method you would use to prove the two triangles congruent. If no method applies, enter "none."
SSS
SAS
ASA
AAS
None
Answer:
SSS Theorem
Step-by-step explanation:
Answer:
SSS
Step-by-step explanation:
They share a side so that's the third side that's the same
which graph shows a function and it’s inverse ?
Answer: D.
Step-by-step explanation:
Trust me I been there
Graph B shows the functions and its inverse.
Graph with function and it’s inverse is to be determine.
Functions is the relationship between sets of values.
Here,
For graph A,C, and D do not have axis of symmetry that why this option can be omitted it does not contain function with its inverse.
While graph B has axis of symmetry and equal and opposite 2 function that is graph b has function and its inverse.
Graph B shows the functions and its inverse.
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The point-slope form of the equation of the line that passes through points 8,4 and 0,2 is y-4=1/4 (x-8) what is the slope intercept form of the equation for this line
Answer:
Step-by-step explanation:
y - 4 = 1/4(x - 8)
y -4 = 1/4x - 2
y = 1/4x + 2
The Figure below shows a rectangular prism and a cube:
How many such cubes are required to completely pack the prism without any gap or overlap?
A. 288
B. 576
C. 1,152
D. 1,636
jose runs 3 mikes in 28 minutes. At the same rate, how many miles would he run in 42 minutes?
Answer:
[tex]4.5 \: miles[/tex]
Step-by-step explanation:
[tex]3 \: miles \: in \: 28 \: minutes.[/tex]
[tex]x \: miles \: in \: 42 \: minutes.[/tex]
[tex]28x=42 \times 3[/tex]
[tex]28x=126[/tex]
[tex]\frac{28x}{28}=\frac{126}{28}[/tex]
[tex]x=\frac{9}{2}[/tex]
Answer:
[tex]4.5 \: \: miles \\ [/tex]
Step-by-step explanation:
[tex]3 \: \: miles = 28 \: \: min \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: x \: \: \: = 42 \: min[/tex]
use cross multiplication
[tex]42 \times 3 = 28 \times x \\ 12 6 = 28x \\ \frac{126}{28} = \frac{28x}{28} \\ x = 4.5 \: \: miles[/tex]
One of the skylights on the roof of Bianca’s building is in the shape of the solid below.
A rectangular pyramid has a base of 14 inches by 14 inches and a height of 9 inches. A rectangular prism has a length of 14 inches, width of 14 inches, and height of 2 inches.
What is the total volume of air inside the skylight?
392 inches cubed
588 inches cubed
870 inches cubed
980 inches cubed
Answer:
B. 588 inches cubed.
Step-by-step explanation:
the pyramid base with 2inch height = 392 - 14 x 14 = 196 = 392-196 = 196
the pyramid with 9 inch height = 588.25 = 14 x 14 = 196 the adjoined upper base.
= 588.25 - 196 = 392.25 + 196 = 588^3 (inches cubed ) we only needed one base structure
We check the slant = (1/2)base = 7 then divide 392.25/7 = 56.0357142857/4
Then divide by 4 = 56.0357142857/4 = 14 and we know the slant is also 14.
We can find the isosceles central height and know it will be the smaller measure as it always is, using 14^2 - 7^2 = a^2
= 196sr - 49sr = 47sr
a^2 = √47 = 6.8556546004
So we know the diagram isn't to scale.
The equation of a rectangle pyramid =
A=lw+√l (w2)
2+√ 2+w
(l2)2+√ h2
The base is l*w*h - l*l = 392-196
or l*w + 4* h*w =196
The total volume of air inside the skylight is 980 inches cubed. Option D is correct.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The volume of the rectangular pyramid is (1/3) × base area × height = (1/3) × 14² × 9 = 588 cubic inches.
The volume of the rectangular prism is length × width × height = 14 × 14 × 2 = 392 cubic inches.
The total volume of air inside the skylight is the sum of the volumes of the pyramid and prism, which is 588 + 392 = 980 cubic inches.
Therefore, the answer is (D) 588 inches cubed.
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Math Question. please Help?
Answer: I don’t know bro I’m sorry but at least add me on insta silverqueef
Step-by-step explanation:
Thank tou
Answer:
13.75/17
Step-by-step explanation:
Cos is Adjacent over Hypotenuse so you take the numerator and put it on and adjacent side of the triangle and you take the denominator and put it on the hypotenuse. Then you use pythagorean theoram to solve for the rest of the triangle. Then you have all three sides of the triangle. Sin is Opposite over Hypotenuse, so you take the opposite angle and just put it over the hypotenuse value to get your sin. If you need a visual just draw a triangle. :)
please help as quickly as possible
Answer:
54/125
Step-by-step explanation:
2/375, 2/125, 6/125, 18/125
It is obvious the common ratio = 3
The next term = 3*18/125= 54/125
Answer: 54/125
Step-by-step explanation:
giving brainliest to first answer!!
Determine the area of the composite figure to the nearest whole number.
A) 9 ft2
B) 11 ft2
C) 13 ft2
D) 17 ft2
Answer:
C
Step-by-step explanation:
3/4 * 4pi = 3pi
3pi + 4 =. 13
If you awnser this correctly I will give you more points
Answer:
1) 5m-10
Parts, 5m, -10
Operation, Subtraction
Word Expression, 10 less than the product of 5 and m.
Step-by-step explanation:
1) 5m-10
Parts, 5m, -10
Operation, Subtraction
Word Expression, 10 less than the product of 5 and m.
2) 12/2+7
6+7
13
3) 8y-(22)
Terms, 8y, 22
Operation, Subtraction
Word Expression, 22 less than the product of 8 and y.
Answer:
number 2 is 13 and number 3 is-2.75
Step-by-step explanation:
-2.75
In the function y+3=(1/3x)^2+1 what effect does the number 1/3 have on the graph as compared to the graph of y=x^2
Answer:
I think the answer is
B. it stretches the graph horizontally by a factor of 3
Step-by-step explanation:
Answer:
It shrinks the graph vertically to 1/3 its original height
Which of the angles below are vertical? *
Answer:
Angle 1 and Angle 3
Step-by-step explanation:
When two lines intersect, they form two pairs of vertical angles. These angles are equal in measure, and they are directly opposite each other in the intersection. For instance, in this case, that would be angles 1 and 3, or angles 4 and 2. Since 4 and 2 aren't an option, the correct answer is angle 1 and angle 3. Hope this helps!
The angle 1 and angle 3 are vertical angles
What are vertically opposite angles?Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. So are ∠2 and ∠4 . A pair of vertically opposite angles are always equal to each other. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.
According to question
angle 1 = angle 3 ( vertically opposite angle )
angle 2 = angle 4 ( vertically opposite angle )
Hence, angle 1 and angle 3 are vertically opposite angle.
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A 23 foot long piece of wood is leaning against the wall of a house. If the angle of elevation at the base
of the wood to the wall is 75 degrees , how far is the wood from the base of the wall?
Answer:
22.22 feet
Step-by-step explanation:
The piece of wood forms the shape of a right angled triangle with the wall of the house and the floor.
The piece of wood is 23 feet long and it is the hypotenuse.
The angle of elevation of the wood is 75° and we are to find the length of the wood to the base of the wall. Let that be y.
Using trigonometric function SOHCAHTOA:
sin(75) = x/23
=> x = 23 * sin(75)
x = 22.22 feet
The wood is 22.22 feet far from the base of the wall.
someone help please, summer school is annoying
Answer:
6
Step-by-step explanation:
2y/3 + 1/3 = y/2 + 1/6
We want to eliminate the fractions
The least common multiple of 3,2 and 6 is 6
Multiply each side by 6 to get rid of the fractions
6(2y/3 + 1/3) = 6(y/2 + 1/6)
4y +2 = 3y +1
Help me please due TODAY
Answer:
The answer is 3
Step-by-step explanation:
7.5 m
---------
5
7.5(2)=15
-------------
5
15
--- =3
5