59.99 - 59.99 x saving rate = 42.89
with saving rate = r%
59.99 - 59.99 x r% = 42.89
so 59,99 ( 1 - r%) = 42.89
1 - r% = 42.89 : 59.99
1 - r% = 0,7150
r% = 1 - 0,7150
r = 28,5%
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
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
Convert 315 degrees to radian
Answer:
[tex]\frac{7\pi }{4}[/tex] radians
Step-by-step explanation:
to convert degrees to radians
radians = degrees × [tex]\frac{\pi }{180}[/tex] , then
radian measure = 315° × [tex]\frac{\pi }{180}[/tex] ( cancel 315 and 180 by 45 )
= 7 × [tex]\frac{\pi }{4}[/tex]
= [tex]\frac{7\pi }{4}[/tex]
315 degrees is equal to 5.49779 radians.
To convert degrees to radians, you need to multiply the degree measure by the conversion factor of π/180.
Let's convert 315 degrees to radians:
315 degrees × (π/180)
315×3.14 /180
= 5.49779 radians
Therefore, 315 degrees is equal to 5.49779 radians.
To learn more on Unit of Measurement click:
https://brainly.com/question/12629581
#SPJ6
Please answer 27-40, In simplified form. Thanks. No links
Answer:
-13
Step-by-step explanation:
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.
Anyone please help me
Answer:
3
Step-by-step explanation:
these are 2 similar triangles (all 3 pairs of corresponding angles are equal in their pair, and the lengths of corresponding sides have the same ratio in every pair of corresponding sides and other lengths).
and they are also right-angled triangles.
so, what else do we know about them ?
PQ = 18
RT = 6
ST = QT + 9
therefore
QT = ST - 9
and
QR = QT + RT = ST - 9 + 6 = ST - 3
due to the principles of cumulative triangles
PQ/ST = QR/RT = 18/ST = (ST - 3)/6
108/ST = (ST - 3)
108 = (ST - 3)ST = ST² - 3ST
ST² - 3ST - 108 = 0
we can the write
x² - 3x - 108 = 0
and the solution for such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -3
c = -108
x = (3 ± sqrt(9 - 4×1×-108))/2 = (3 ± sqrt(441))/2 =
= (3 ± 21)/2
x1 = (3+21)/2 = 24/2 = 12
x2 = (3-21)/2 = -18/2 = -9
a negative solution for real lengths is not valid, so we know
x = ST = 12
so,
QR = ST - 3 = 12 - 3 = 9
and then
QT = QR - RT = 9 - 6 = 3
Helppp Please!!!!!!!!
Answer:
Emma began her journey at 7:30 a.m., at 8 a.m. she was 20 miles away, she stayed for an hour and a half, she left at 10 a.m., she was 7.5 miles from her house at 11:45, she traveled 80 miles total
Step-by-step explanation:
please let me know what you don't understand here. because this is really simple.
the distance from home is increasing and then decreasing when she is traveling.
the rate of distance per time would give us even the speed with which she was traveling.
when there is no change in the distance over time, that means she was "stationary" - either at home or at her grandmother's place.
so, let's answer the questions :
(a)
movement started at 7:30am (that is when she began her journey).
(b)
20 miles
you pick 8am on the time scale and move straight up until you hit the curve. and then you check what value is at that point all the way to the left on the distance scale : 20.
(c)
from 8:30am to 10am = 1.5 hours.
we see this by the interval on the time scale for which the curve is totally flat (a horizontal line) = no change in distance from home during that time.
(d)
at 10am
that is when the curve indicates the begin of a change in the distance to home.
(e)
7.5 miles.
this is the point marked by a star on the graph.
down on the time scale this point shows 11:45am, and on the left side in the distance scale it shows 7.5 miles (the middle between 5 and 10 miles).
so, at that time she was still 7.5 miles away from home.
(f)
she traveled 40 miles to her grandmother (the left part of the curve from 0 distance until it turns flat), and then 40 miles back home (the right part of the curve from 40 distance all the way down to 0).
so, in total she traveled
40 + 40 = 80 miles
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~
Find the surface area of the prism shown below.
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.
Learn more about pressure on:
https://brainly.com/question/25736513
?.
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.
Learn more about simple interest here
https://brainly.com/question/22621039
#SPJ2
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]
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.
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.
To get more about taxes visit:
https://brainly.com/question/509359
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
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:
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
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°.
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
The roof of one building is 400 feet below the roof of another building. A person standing on the lower roof sees another person standing on the higher roof at a 35° angle of elevation.
Approximately how far apart are the buildings? Round to the nearest foot.
The distance between the two buildings is 844.23 feet apart, we go this answer by simply applying the SOH CAH TOA method
TrigonometryGiven Data
Height of Building A (Opp) = 400 feetAngle of Elevation θ = 35° Distance between the buildings Adj = ??Applying the SOH CAH TOA Approach we have
Tan θ = Opp/Adj
Substituting our given data we have
Tan 35 = 400/x
0.4738 = 400/x
make x subject of the formula we have
x = 400/0.4738
x = 844.23 feet
learn more about trigonometry here:
https://brainly.com/question/24349828
Pls help with this problem
Step-by-step explanation:
every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.
therefore,
angle XVY = 90°.
for VY we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).
XY = 2×ZY = 2×17 = 34.
so,
34² = 30² + VY²
VY² = 34² - 30² = 1156 - 900 = 256
VY = 16
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]
Learn more about the area of rectangle here;
https://brainly.com/question/11202023
Answer:
B. w(w + 2) = 48
Step-by-step explanation:
I just took the quiz.
Have the day you deserve :)
Find the measure of the missing angle in this triangle.
Answer:
b = 25°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
b + 110° + 45° = 180°
b + 155° = 180° ( subtract 155° from both sides )
b = 25°
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.
Learn more about Number Line:
https://brainly.com/question/557284
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
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 )
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
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.
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)
f(x)=-2(x-4)^2 for x=2 evaluate