Answer:
32°
Step-by-step explanation:
Complementary angles sum to 90°
the complement of 58° is
90° - 58° = 32°
Complementary angles add up to [tex]\sf{90^\circ}[/tex].
In order to find the complement of the given angle, we should set up the following equation:-
(let n be the unknown angle)
[tex]\sf{n+58=90}[/tex]
Subtract 58 from both sides:-
[tex]\bigstar{\boxed{\pmb{n=32}}[/tex]
Hence, the complement of the angle is 32 degrees.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle.
Answer:
Length = 8+7 = 15
Width = 8
Step-by-step explanation:
New
Length = x+7 , x+4
Width = x ,x+2
(x+7) x = (x+4)( x+2)
expand and simplify x =8
The length of the shorter side length of original rectangle is 8 inches and of original rectangle longer side length is 15 inches.
Area of rectangleLet l is the length and b is the breadth of the rectangle.
then the area of the rectangle is ab.
How to find the dimensions of the original rectangle?Given One side of a rectangle is 7 inches longer than another side.
then shorter side length is x and the large side length is 7+x.
then the area of the original rectangle is x(x+7)
Now calculate the sides of the new rectangle.
longer side of this rectangle decreases by 3 then new side is 7+x -3= 4+x
The shorter side increases by 2 inches then x+2.
So new rectangle area is (x+4)(x+2)
Both rectangle area is equal then
(x+4)(x+2) = x(x+7)
x² +2x+4x+8 = x²+7x
x²+6x+8 = x²+7x
x²-x²+7x-6x = 8
x = 8
Since a shorter side length is 8 inches and a longer side length is 8+7 =15 inches.
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please help me with this slope intercept form
Answer:
5x+3=8
Step-by-step explanation:
this is the answer
pleaseee help (questions in photo) will mark brainliest
Answer:
270
Step-by-step explanation:
90, 180, 270, and 360 are standard position because they hold a part of a 90 angle
Answer:
Step-by-step explanation:
Standard position means that you will move clockwise about the origin to create the angle.
What’s the area of the circle?
Answer:
153.86
Step-by-step explanation:
The area of a circle is π[tex]r^2[/tex].
Since the radius of that circle, and we are using 3.14 for π, we get:
[tex]3.14 * 7^2 = 153.86[/tex]
Answer:
Technically you should get :153.94
But for your answer choice its the 2nd one.
Step-by-step explanation:
area=πr^2
Which means that you would plug in 7 for r.
Which means it would look like this: area=π7^2
Next you would square 7 which comes out to 49
Lastly multiply 49 time π (3.14)
Can yall please help me on this one question.. im not good at this part..
Answer: part A I think 100 cause its 100 place value umm for part B is I can say 20
i really don't know but I'm not good at it either LOL
The inverse of the logarithmic function f(x) = log0.5x is f−1(x) = 0.5x. what values of a, b, and c complete the table for the inverse function?
The value of a for the inverse function is 2, the value of b for the inverse function is 1, and the value of c for the inverse function is 0.25.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The inverse of the logarithmic function [tex]f(x) = \log_{0.5} x[/tex] is [tex]f^{-1}(x) = 0.5^x[/tex]
For x = −1 in the inverse function, then the value of a will be
[tex]f^{-1}(x) = 0.5^{-1}\\\\f^{-1}(x) = 2[/tex]
The value of a is 2.
For x = 0 in the inverse function, then the value of b will be
[tex]f^{-1}(x) = 0.5^{0}\\\\f^{-1}(x) =1[/tex]
The value of b is 1.
For x = 2 in the inverse function, then the value of c will be
[tex]f^{-1}(x) = 0.5^{2}\\\\f^{-1}(x) = 0.25[/tex]
The value of c is 2.
More about the function link is given below.
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Answer:
a.2
b.1
c.0.25
Second part: Graph B (2nd) one
Step-by-step explanation:
Yo imma need this quick.
Answer:2 11/12
Step-by-step explanation:
7/12+28/12= 35/12= 2 11/12
28/12=7/3 btw
2 4/12+7/12=2 11/12
Answer:
Ok the answer is going to be 35/12
try that I hope I helped you
Step-by-step explanation:
factor the equation y=9x²-18x+9
Answer:
9(x-1)(x-1) or 9(x-1)²
Step-by-step explanation:
9x² - 18x + 9
factor out a 9
9(x² - 2x + 1)
use middle term factorization to factor x² - 2x + 1
9(x-1)(x-1) or 9(x-1)²
Middle term factorization explained:
For x² - 2x + 1, you want to find 2 numbers that multiply to +1 and add to -2. You then split x² to x and x and add the 2 numbers individually to x.
It should look something like (x+1st number)(x+2nd number)
the two numbers that multiply to get to 1 and add to get to -2 are -1 and -1
( -1 × -1 = 1 and -1 + -1 = 2 )
so we then add the number to the split x² to get (x-1)(x-1) which is the same as (x-1)², the 9 is then added to the factored form to get 9(x-1)(x-1) or 9(x-1)²
how far away is {-4,-6} away from {5,-6} on a coordinate grid
Answer:
(-4, -6) and (5, -6) are 9 units away from each other on a coordinate grid.
Step-by-step explanation:
Use the distance formula:
[tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]We are given the points (-4, -6) and (5, -6). Substitute these points into the formula:
[tex]d = \sqrt{(5-(-4))^2+(-6-(-6))^2}[/tex] [tex]d=\sqrt{(5+4)^2+(-6+6)^2}[/tex] [tex]d=\sqrt{(9)^2+(0)^2}[/tex] [tex]d=\sqrt{9^2}[/tex] [tex]d=9[/tex]The distance between (-4, -6) and (5, -6) on a coordinate plane is 9 units.
what is pi and why do we need it
Answer:
Pi is the number you get from dividing the circumfrence by the diameter of a perfect circle. It is important because without this, we wouldnt have perfect circles and even wheels could be disformed and cause crashes.
Answer:
Pi is an infinite number. We need it to find the area and circumference of a circle.
Step-by-step explanation:
NEED HELP ASAP!! WILL MARK BRAINLIEST! John gets a $1000 bonus at work and decides to invest it. He puts his money into an account that earns an annual interest rate of 6.5% compounded once a year. He also decides to add $1200 to his account each year.
How many years will it take for John's account be worth $10,000?
Answer:
I think 4 years
(not sure)
Answer: 7.1 years
Step-by-step explanation:
Lets write a simple interest expression for this:
SI = P(1 + rt)
10,000 = 1,000(1 + 0.065[t])
This model is not quite complete yet, since he is adding 1200 every year. To fix this, we simply add a constant term, 1200t, where t is the number of years that have passed.
10,000 = 1,000(1 + 0.065[t]) + 1200t
Now we just need to evaluate this:
10,000 = 1,000 + 65t + 1200t
9,000 = 1265t
.: t ≅ 7.115
It will take about 7.1 years
Translate this phrase into an algebraic expression.
One less than the product of 18 and a number
Use the variable n to represent the unknown number.
one less than the 18 and a number
18 × n = (product) - 1
y(2.5+7)+y-2
10.5y-2
which statement best explains why the expressions are equivalent
a the expressions have the same value for any value of y
b the expressions have the same value for only whole number values of y
c the expressions have the same value only when y is an odd number.
d the expressions have the same value only when y is an even number.
Using the equivalence concept, it is found that the correct option is given by:
a the expressions have the same value for any value of y.
What are equivalent expressions?Two expressions are said to be equivalent if for the same input, they have the same value.
In the expressions given in this problem, the input is y, hence they have the same value for any value of y, which means that option A is correct.
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1. Find the surface area of the square pyramid. 13 m 14 m
Answer: [tex]560m^2[/tex]
Step-by-step explanation:
First begin by finding the surface area of the base, which is simply length * width. In this case,
[tex]14*14 = 196 m^2[/tex]
Next, find the surface area of one of the sides of the pyramid. This formula for this is:
[tex]\frac{1}{2}*base*height[/tex]
Since we know the height to be 13 meters and the base to be 14 meters, we can solve for one side.
[tex]\frac{1}{2}*14*13 = 91 m^2[/tex]
We multiply this by 4 to give us all 4 sides of the pyramid:
[tex]91m^2 * 4 = 364m^2[/tex]
Adding together the surface area of the sides and the base gives us:
[tex]196m^2 + 364m^2=560m^2[/tex]
Please help! This is past due, and I’m a little confused.
For problems 12-15, name each of the polygons represented by the traffic signs. Write yes or no whether the polygon appears to be regular.
Answer:
12. Octagon, Regular
13. Triangle, Regular
14. Rectangle, Irregular
15. Pentagon, Irregular
Step-by-step explanation:
Irregular vs. regular boils down to whether the sides and angles of the figure are all equal. In figures 14 and 15, the sides are clearly not all the same length, so they are irregular.
you have a square area rug that needs to be cleaned. if the cleaning company charges $0.25 per square foot for cleaning, how much will it cost you to get your 20 ft by 20 ft area rug cleaned?
Answer:
It should be $100 to get it cleaned.
I believe the answer is $100
P(x) = 4x^3 - 6x^2 + ax – 2. Find a If P(3) = 2.
[tex]P(x)=4x^3-6x^2+ax-2\\\\P(3)=2\\\\\implies 4\cdot 3^3-6 \cdot 3^2 +3a-2=2\\\\\implies 108-54-4 +3a=0\\\\\implies 50+3a=0\\\\\implies a = -\dfrac{50}3[/tex]
Answer:
The value of a = -16.6.... or -16.7
Step-by-step explanation:
Given :
P(3) = 2
P(x) = 4x^3 - 6x^2 + ax – 2
=> 2 = 4(3)³ - 6(3)² + a(3) -2
=> 2 = 4(27) - 6(9) +3a - 2
=> 2+2 = 108 - 54 +3a
=> 4 = 54 + 3a
=> 4-54 = 3a
=> -50 = 3a
=> -50/3 = a
=> a = -16.6.... or -16.7
Plsss answer as fast as possible! IMPORTANT
Step-by-step explanation:
Attached picture might help you out
questions in the attached img. thanks in advance
Answer:
[tex][tex]\: \blue{ \rule{10pt}{100000pt}}[/tex][tex]\: \pink{ \rule{10pt}{100000pt}}[/tex][tex]\: \green{ \rule{10pt}{100000pt}}[/tex][tex]\: \violet{ \rule{10pt}{100000pt}}[/tex]
\\ [tex]\: \blue{ \rule{10pt}{100000pt}}[/tex][tex]\: \pink{ \rule{10pt}{100000pt}}[/tex][tex]\: \green{ \rule{10pt}{100000pt}}[/tex][tex]\: \violet{ \rule{10pt}{100000pt}}[/tex]
[/tex]
Mandy was painting a mural shape of a rectangle. The length of the mural was 12 feet and the width was 5 feet. what was the area of the mural?
Answer:
The area of the mural is 60 feet.
Step-by-step explanation:
The equation for area is L(Length) x W(Width). So, take the length of the mural (12 feet) & multiply it by the width (5). The answer you should get is 60 feet.
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
6.2
Step-by-step explanation:
I don't think you need my explanation anymore.
pleaseeee helppp i’m running out of time
Answer:
Square Root of 162 ~ 12.727
Step-by-step explanation:
Simply do the Pythagorean Theorem!
a^2 + b^2 = c^2
This case we're solving for the long side which is the hypothenuse.
9^2+9^2= c^
81+81=c^
162=c^
Square root of 162
Which is 12.727
Someone help me please
Step 1. Isolate the variable x:
[tex]3x-11 > 7x+9[/tex]
[tex]-4x > 20[/tex]
[tex]x > -5[/tex]
Step 2. Use the simplified inequality to graph:
Select an OPEN point on x = -5Select a ray extending from -5 to positive infinity (GREATER than -5)I hope this helps!
can someone explain to me what this is in detail P(A∩B) = P(A) · P(B)
Answer:
Basically the statment is saying that in order to get P (A and B) you have to multiply P(A) by P(B).
Answer:
I think it means the probability of selecting (AnB) is equal to Probability of selecting A × probability of selecting B
Step-by-step explanation:
Please rate bainliest if you think I deserve
How were the policies of President Kennedy and President Johnson similar and different?
The ways that the policies of President Kennedy and President Johnson are similar and different is given below:
Both President were similar as they both were from heavily political and big families. Kennedy and Johnson were known to be similar in a lot of the ways especially in the way that they ran the country.After the assassination of Kennedy, Johnson was known to have followed the footsteps of his predecessor's and went ahead on implementing some of his programs. Johnson was known to have went ahead with the the anti-poverty program and the Civil Rights Bill.
What is a difference between John F. Kennedy and Lyndon Johnson?The differences between the both presidents were:
President Kennedy was known to be a better public speaker when compared to President Johnson.President Kennedy has his origin from the North, while that of Johnson was from the South.President Kennedy was used to be seen in affluent crowd, but Johnson was known to be a simple Texan Man.Conclusively, these two president were said to be very were similar, and yet they were different.
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50 POINTS FOR QUESTION 24 thank u!!
Answer:
Each instalment = £27.45
Step-by-step explanation:
Given:
Price of work trolley = £59.90Deposit = £5Remaining balance to be paid = Price of work trolley - deposit
= £59.90 - £5
= £54.90
If the remaining balance is to be paid in 2 instalments:
Cost of each instalment = remaining balance ÷ 2
= £54.90 ÷ 2
= £27.45
what is an equation of the line that passes through the points (6,3) and (-6,1)
Answer: y = [tex]\frac{1}{6}[/tex]x + 2
Step-by-step explanation:
[1] First, we will graph the points given. See the attachment with [1] in the corner.
[2] Next, we will find the slope.
(2a) Using rise over run. See the attachment with [2] in the corner.
(2b) Use the slope equation:
[tex]\displaystyle \frac{1-3}{-6-6}= \frac{-2}{-12} =\frac{1}{6}[/tex]
[3] Find the y-intercept. Look to the graph. See the attachment with [3] in the corner.
This gives us a final answer of y = [tex]\frac{1}{6}[/tex]x + 2
SOLAR ENERGY The power absorbed by a solar panel varies directly with its area. If an 8 square meter panel absorbs 8,160 watts of power, how much power does a 12 square meter solar panel absorb
Answer:
12,240 W
Step-by-step explanation:
Use a proportion.
8/8160 = 12/x
8x = 8160 × 12
x = 1020 × 12
x = 12,240
Answer: 12,240 W
Angle of _____ symmetry is the smallest angle through which a preimage can be rotated to coincide with its image.
Suppose a triangle has two sides of length 42 and 35, and that the angle
between these two sides is 120°. Which equation should you solve to find the
length of the third side of the triangle?
A. c²=422+352-2(42)(35)sin120°
sin 35
B.
sin42
120
=
b
OC.
2²=42²+35²-2(42)(35)cos120°
D. c=42+352(42)(35)cos120°
Answer:
The correct option is C because it shows the accurate cosine rule
Equation to get the third side : [tex]c = \sqrt{(42^2 +35^2 -2\times 42\times35\times cos(120\degrees ))}[/tex]
The correct option is C.
Given, that sides of triangle are 42 cm and 35 cm .
The third side can be found using the Law of Cosines,
[tex]c^2 = a^2 +b^2 - 2ab\times cos(C)[/tex]
where C is the angle opposite the third side (c) .
For the given side lengths, then the third side can be found .
Here,
a = 42
b = 35
∠C = 120°
Substitute the values,
[tex]c = \sqrt{(42^2 +35^2 -2\times 42\times35\times cos(120\degrees ))}[/tex]
[tex]c = \sqrt{1764 + 1225 + 1470} \\c = \sqrt{4456}\\c = 66.75[/tex]
Hence the third side is of 66.75 units.
The correct option is C .
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