Answer:
B, 20
Step-by-step explanation:
The Pythagorean Theorem states that the two shortest lengths in a right triangle (in our case, 12 and 16), is equal to the longest length in a right triangle (c). So,
a²+b²=c²
Substitute 12 and 16 for a and b, our side lengths
12²+16²=c²
144+256=400
400=c²
Square root both c and 400, which gives us...
20=c
So, the value of x is 20.
A rectangular-shaped badminton court has an area of 880 square feet. The width of the court is 20 feet. What is the length of the badminton court?
Answer:
length = 44 ft.
Step-by-step explanation:
A = lw
[tex]880 = 20l\\[/tex]
Solving for l gives us l = 44 ft.
Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic? w(w – 2) = 48 w(w 2) = 48 2w(w – 2) = 48 2w(w 2) = 48.
The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic, is w(w + 2) = 48.
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The area of the tile is 48 square cm. John wants to make the mosaic with this tile having the length 2 cm longer than the width.
Let suppose the width of the rectangle mosaic is w cm. Thus the length of it is,
[tex]l=w+2[/tex]
As the area of a rectangle is the product of its length and width and Tte area of the tile is 48 square cm. Thus,
[tex]48=(w+2)\times w\\48=(w+2)w\\[/tex]
The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic is
[tex]w(w + 2) = 48[/tex]
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Answer:
B. w(w + 2) = 48
Step-by-step explanation:
I just took the quiz.
Have the day you deserve :)
four rectangles with the same area, the length varies inversely as the width. one rectangle has a length of 12cm and a width of 5cm. find the length of another rectangle with the same area whose width is 4cm
Answer:
The answer is 15 cm.
Step-by-step explanation:
y= k/x
x= width
y= length
So there for;
x= 5
y= 12
Which means that;
12= k/5
k= 60
And then;
y= 60/x
Which then finally means that;
y= 60/4
60/4= 15 cm
Please help I'm extremely confused. Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included )
Answer:
x=8.4
Step-by-step explanation:
use tangent to solve the equation which is opposite/adjacent and set up the proportion
[tex] \frac{ \tan(35) }{1} = \frac{x}{12} [/tex]
the cross multiply to get x=tan(35)×12 then multiply that to get x=8.4
Please Help! Will Give Brainlest!
Answer:
period = 2π
Step-by-step explanation:
the period is the distance from one point on the waveform to the corresponding point on the next wave.
there is a maximum at 2π and a corresponding maximum at 4π
period = 4π - 2π = 2π
There are values of t so that sin t= 5/4
Answer:
False
Explanation:
sin t can never be greater than 1 or less than -1
this question is too hard
Answer:
There are 33 nuts in the bag, to 21 dried fruits.
Total number of dried fruits is 21, while the total number of nuts is 33.
Step-by-step explanation:
confused on the function and method for this... help me out please.
Answer:
∠ YZX ≈ 19.7°
Step-by-step explanation:
using the sine ratio in the right triangle.
sin YZX = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{YZ}[/tex] = [tex]\frac{7.5}{22.3}[/tex] , then
∠ YZX = [tex]sin^{-1}[/tex] ( [tex]\frac{7.5}{22.3}[/tex] ) ≈ 19.7° ( to 3 significant figures )
please help me answer the question in the photo
Step-by-step explanation:
please mark me as brainlest
ans
[tex] \frac{3x}{x + 4} [/tex]
Fin each missing measure. Round all answers to the nearest tenth. Pls Help!!
Answer:
6.2 units
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.
Common segmentTo find the value of x in this figure, we need to know the length of the common segment between the two triangles. That segment is opposite the 53° angle, so can be found using the sine relation:
Sin = Opposite/Hypotenuse
Opposite = Hypotenuse × Sin = 30·sin(53°) ≈ 23.9591
__
Missing measureThe side marked x is adjacent to the marked angle in that triangle, so the relevant relation is ...
Cos = Adjacent/Hypotenuse
Adjacent = Hypotenuse × Cos = 23.9591·cos(75°) ≈ 6.20106
The length of the side marked x is about 6.2 units.
Find the surface area of the prism shown below.
Say that australia has a working population of 11,565,470 people, and that the average salary is $26,450 annually. how much tax revenue would australia generate each year by instituting a 31.4% income tax? a. $81,528,467,671 b. $90,224,333,274 c. $96,054,697,991 d. $209,851,983,509
The tax revenue Australia would generate each year is $96,054,697,991.
What is the percentage?
The percentage is the value per hundred.
Working population of Australia = 11,565,470 people
Annual average salary = $26,450
Income tax rate = 31.4%
Tax revenue generated by each resident = 26450*(31.4/100)
Tax revenue generated by each resident =$8305.3
So, Tax revenue generated by 11,565,470 residents = 11,565,470*8305.3
Tax revenue generated by 11,565,470 residents = $96,054,697,991
Therefore, the tax revenue Australia would generate each year is $96,054,697,991.
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Which two numbers doesStartRoot 128 EndRoot lie between on a number line? 11. 0 and 11. 1 11. 2 and 11. 3 11. 3 and 11. 4 11. 4 and 11. 5.
A number line is a representation of a graded straight line. The number √128 will lie between 11.3 and 11.4.
What is a number line?A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are represented by the letter R. A real number is considered to correspond to every point on a number line, and a point to every real number.
In order to know the location of the √128, we need to write the number √128 in decimal form, therefore, the value of √128 can be written as,
[tex]\sqrt{128} = 11.3137 \approx 11.31[/tex]
Now, on the number line if we plot √128 we will see that it will lie between 11.3 and 11.4, as shown below.
Hence, the number √128 will lie between 11.3 and 11.4.
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Please answer 27-40, In simplified form. Thanks. No links
Answer:
-13
Step-by-step explanation:
Q1. If you draw a triangle with angles that measure 25 degrees and 60 degrees, what will be the measure of the third angle?
Q2. If angle 1 and angle 2 are supplementary, and angle 1 measures 80 degrees, what is the measure of angle 2?
Answer:
Q1. 95 degrees
Q2. 100 degrees
Step-by-step explanation:
When you create a triangle, all angle measures must equal 180 degrees.
So, using that information, take 180 and subtract both of the other values.
180 - 25 = 155
155 - 60 = 95
When two angles are supplementary, the sum of their angle measures equal 180, or a straight angle.
Using that information, take 180 and subtract 80.
180 - 80 = 100
Geoffrey measures the width of his bedroom to determine the largest size bed frame he can have. The wall he plans to place the bed frame against is 13.65 feet wide. He wants there to be 2.25 feet between the wall and the bed frame on each side. What is the maximum width bed frame, in inches, that Geoffrey can put in his bedroom?
Answer:109.8 inches
Step-by-step explanation:
Anyone know what (2×10⁵) ÷ (4×10²) is?
Answer:
50²
Step-by-step explanation:
(2×10⁵) ÷ (4×10²)
2 × 100000 ÷ 4 × 100
200000 ÷ 400
= 500
= 50²
What is the surface area? 5 cm 7 cm 4 cm square centimeters
Answer: 166 feet^2
Step-by-step explanation:
The equation for surface area is 2(wl+hl+hw). So that would be:
Surface Area = 2×(5×7 + 5×4 + 7×4) = 166 feet^2
Answer:16 square cm
Step-by-step explanation: Surface area = base, height (Side 1 + Side 2+ Side 3) H = Side 1 = 5 cm
Side 2 = 7cm
Side 3 = 4cm (add all these numbers ) = 16 Square cm
Please help I don't understand because of this depreciation stuff. I want to know which one will be a better buy
So if i'm reading it right, it says the total depreciation will be 13% & 14% after the 5 years. If i'm misunderstanding, let me know and i'll fix my answer because the process will be a bit different
Depreciation means a decrease in something over time. You can think of it like a "__% off" sale if that helps
For the first option, we need to find 13% of 18,000. "Of" always means multiply, so 13%*18,000=2,340
Since we're decreasing, subtract 2,340 from the original cost
18,000-2,340=$15,660
Same process for the second option
14%*22,000=3,080
22,000-3,080=$18,920
How to solve this please
Their sum of ages is 45
So
x+x+27=452x+27=452x=18x=9Therefore
Nabil is 9years oldTala is 36 years oldStep-by-step explanation:
let the tala's age be x and nabil's be y
x+y=45(equation 1)
x=y+27
x-y=27(equation 2)
solving 1 and 2 equation
x+y=45
x-y=27
______
2x=18
x=9
therefore the talas age is 9
putting the value of x in equarion 1
9+y=45
y=45-9
y=36
Rotate shape A 90° clockwise with centre of rotation (0,0).
What are the coordinates of the vertices of the image?
Step-by-step explanation:
(3,3)====(3,-3)
(3,2)====(2,-3)
(5,2)====(2,-5)
please answer 100 points
Divide. 6 from 3/5
10
30
20
15
Answer:
Step-by-step explanation:
What is 6 divided by 3/56 ÷ 3 5. The trick to working out 6 divided by 3/5 is similar to the method we use to work out dividing a fraction by a whole number. ... 6 x 5 3 = 30 3. So, the answer to the question "what is 6 divided by 3/5?" ... 30 3. ... 10 1. ... 10 1 = 10.
Answer:
The numbers in 6 divided by 3/5 are labeled below:
6 = whole number
3 = numerator
5 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
6 x 5
3
=
30
3
Thus, the answer to 6 divided by 3/5 in fraction form is:
30
3
To make the answer to 6 divided by 3/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
30 / 3 = 10
The answer is rounded to the nearest two decimal points if necessary.
30/3 can be simplified to 10/1.
10/1 is an improper fraction and should be written as 10.Step-by-step explanation:
Brainliest available
Simplify
8x^5 y^8 z^9 ur welcome
Answer:
[tex]64x^6y^{12}z^{14}[/tex]
Step-by-step explanation:
[tex]\left(8x^3y^6z^7\right)^2[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n[/tex]
[tex]\left(8x^3y^6z^7\right)^2=8^2\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]
[tex]=8^2\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]
[tex]8^2=64[/tex]
[tex]=64\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]
[tex]=64x^6\left(y^6\right)^2\left(z^7\right)^2[/tex]
[tex]=64x^6y^{12}\left(z^7\right)^2[/tex]
[tex]=64x^6y^{12}z^{14}[/tex]
~lenvy~
Solve for A
HELP ASAP!!
Answer: ∠A=144°
Step-by-step explanation:
∠A and ∠B are alternate exterior angles. Alternate exterior angles are congruent to each other. That means ∠A=∠B. Since we are given the measures of ∠A and ∠B, all we have to do is set them equal to each other.
10x+24=6x+72 [subtract both sides by 6x]
4x+24=72 [subtract both sides by 24]
4x=48 [divide both sides by 4]
x=12
Now that we found x, we need to plug it into ∠A.
10(12)+24=120+24=144
We know that ∠A=144°.
IM STUCK IN THIS ONES AND THEY KEEP DELETING THE ANSWERS
Answer:
c
Step-by-step explanation:
40 cubic units
divide the shape into 2 pieces first.
4 × 4 ×2 = 32
4×2 = 8
32 + 8 = 40
the idea being that, each cube in the stack, is a 1x1x1 = 1 unit³, now if that's so, then, Check the picture below.
Please help!!!!!!!!!!!!
Answer:
Step-by-step explanation:
∠ABD is the complementary angle to ∠BDC.
Two angles are complementary when they add up to 90°
?.
7,000 dollars is placed in a savings account with an annual interest rate of 3%. If no
money is added or removed from the account, which equation represents how much
will be in the account after 7 years?
A. M= 7,000(0.03)
B. M= 7,000(1 + 0.03)(1 + 0.03)
C. M= 7,000(1 - 0,03)
D M= 7,000(1.03)
Total Amount on principal 7000dollars at the rate of interest 3% for time period 7years is equals to $8470.
What is simple interest?
" Simple interest is a method of calculating interest on the amount of money deposited for fixed period on fixed rate of interest."
Formula used
[tex]Amount = P ( 1+ rt) \\P= Principal\\r= Rate of interest\\t= time period[/tex]
According to the question,
Given,
Principal 'P' = $7000
Rate of interest 'r'= 3%
Time period 't' = 7years
Substitute the value in the formula to get total amount with interest,
[tex]Amount = 7000 [ 1+ (\frac{3}{100} )(7)][/tex]
[tex]=7000[ 1+ (0.03)(7)]\\=7000(1.21)\\=8470 dollars[/tex]
Hence, the total Amount on principal 7000dollars at the rate of interest 3% for time period 7years is equals to $8470.
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What is a number that is 450 rounded to the nearest 10th
What is a number that is 400when rounded to the nearest hundred
Step-by-step explanation:
e.g. 452 and 397
but also e.g. 448 and 429
Why would you want a small remote valve and a large valve close to the cylinder?
An individual will want small remote valve and a large valve close to the cylinder in order to build the pressure.
What is pressure?It should be noted that pressure simply means the measure of the force that's applied over a unit area.
In this case, an individual will want small remote valve and a large valve close to the cylinder in order to build the pressure between each valve and also create more pressure for the cylinder.
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Given the function f(x) = 0. 5|x – 4| – 3, for what values of x is f(x) = 7? x = –24, x = 16 x = –16, x = 24 x = –1, x = 9 x = 1, x = –9.
If the value of the function f(x) is 7, then the value of x is –16, and 24. Then the correct option is B.
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 given function is f(x) = 0.5 |x – 4| – 3
If the value of the function f(x) is 7, then the value of x will be
0.5 |x – 4| – 3 = 7
0.5 |x – 4| = 10
|x – 4| = 20
x – 4 = ±20
For positive signs, we have
x – 4 = 20
x = 24
For negative signs, we have
x – 4 = –20
x = –16
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