Answer:
The length of the flight of stairs is 52 m
Step-by-step explanation:
In parallelograms, opposite sides are equal in length
In the given figure
∵ The building is built in the shape of a parallelogram
∵ The length of the flight of stairs is one side of it
→ We can find it by finding the hypotenuse of the right triangle
whose legs are 47 m and 22 m
∴ The length of it = the length of the hypotenuse of the right Δ
→ By using the Pythagoras Theorem
∵ h = [tex]\sqrt{(leg1)^{2}+(leg2)^{2}}[/tex]
∵ leg1 = 47 and leg2 = 22
∴ h = [tex]\sqrt{(47)^{2}+(22)^{2}}[/tex]
∴ h = [tex]\sqrt{2209+484}[/tex]
∴ h = [tex]\sqrt{2693}[/tex]
∴ h = 51.89412298
∵ h represents the length of the flight of stairs
∴ The length of the flight of stairs = 51.89412298 m
→ Round it to the nearest meter
∴ The length of the flight of stairs = 52 m
Victor has a part time job. He saves 18% of his monthly income. Victor makes $215 a month. How much money does he save a month?
There is a contest at school where students guess how many dimes are in a jar. The person whose guess is closest to the actual value wins the jar. Jeffrey guessed 470 dimes. The actual value is 510. What is Jeffrey's percent error?
Answer:
to go yes back
Step-by-step explanation:
Hurry pleaseeee taking a test Which expression is equivalent to 30°? Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Inverse of sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Sine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Answer:
Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Step-by-step explanation:
According to trigonometry identity;
Cos 30° = √3/2
To get the expression equivalent to 30°, we will take the inverse of both sides as shown;
Cos^-1(cos 30°) = cos^-1(√3/2)
The arccos will cancel out the cos on the left hand side of the equation to have;
30° = cos^-1(√3/2)
Hence 30° is equivalent to inverse of cosine of √3/2 or Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Answer:
the Answer is A
Step-by-step explanation:
Edge 2020
Ana runs 3/4 miles in 6 minutes, or 1/10 hour. Assuming she runs a constant rate what is er speed, in miles per hour?
Answer:
Ana runs at a speed of 7.5 miles per hour
Step-by-step explanation:
Speed
Is the rate at which the distance changes in time.
The formula to calculate the speed is:
[tex]\displaystyle v=\frac{d}{t}[/tex]
Where d is the distance traveled in time t.
We know Ana runs a distance of d=3/4 miles in 6 minutes, already converted to t=1/10 hours.
Thus, the speed is calculated as follows:
[tex]\displaystyle v=\frac{\frac{3}{4}}{\frac{1}{10}}[/tex]
Multiplying by the reciprocal of the denominator:
[tex]\displaystyle v=\frac{3}{4}\cdot \frac{10}{1}=\frac{30}{4}[/tex]
v=7.5 mile/h
Ana runs at a speed of 7.5 miles per hour
Drag the tiles to the boxes to form correct pairsMatch the expressions with the property used to generate
Answer:
wheres the question??
9(3x - 5) = -9(-5x - 3)
how many solutions do you get when you solve ?
Answer:
one solution
Step-by-step explanation:
Given
9(3x - 5) = - 9(- 5x - 3) ← distribute parenthesis on both sides )
27x - 45 = 45x + 27 ( subtract 45x from both sides )
- 18x - 45 = 27 ( add 45 to both sides )
- 18x = 72 ( divide both sides by - 18 )
x = - 4
Lisa runs 3 miles in 28 minutes. At the same rate, how many miles would she run in 42 minutes? How do I solve???
Answer:
About 4.5
Step-by-step explanation:
First, divide 28 by 3, round to closest number (2 numbers after the decimal) then take 42 divided by that number (9.33), and you get about 4.5
Hope this helped!
If the function h(x) is defined by h(x) = 2x? - 7x-12 then which of the following values of x solves the
equation h(x) = 10?
(1) x = -2
(3) x = 48
(2) x = 5
(4) x = 118
Answer:
x=-2 solves the equation h(x)=10.
Step-by-step explanation:
Given the function
[tex]h\left(x\right)\:=\:2x^2\:-\:7x-12[/tex]
Putting [tex]h(x)=10[/tex] in the function
[tex]10=2x^2-7x-12[/tex]
switch both sides
[tex]2x^2-7x-12=10[/tex]
add 12 to both sides
[tex]2x^2-7x-12+12=10+12[/tex]
[tex]2x^2-7x=22[/tex]
Divide both sides by 2
[tex]\frac{2x^2-7x}{2}=\frac{22}{2}[/tex]
[tex]x^2-\frac{7x}{2}=11[/tex]
Rewriting in the form x²+2ax+a²
[tex]\mathrm{Add\:}\left(-\frac{7}{4}\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=11+\left(-\frac{7}{4}\right)^2[/tex]
[tex]x^2-\frac{7x}{2}+\left(-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]
[tex]\left(x-\frac{7}{4}\right)^2=\frac{225}{16}[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
slove
[tex]x-\frac{7}{4}=\sqrt{\frac{225}{16}}[/tex]
[tex]x-\frac{7}{4}=\frac{\sqrt{225}}{\sqrt{16}}[/tex]
[tex]x-\frac{7}{4}=\frac{15}{4}[/tex]
[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]
[tex]x-\frac{7}{4}+\frac{7}{4}=\frac{15}{4}+\frac{7}{4}[/tex]
[tex]x=\frac{11}{2}[/tex]
solving
[tex]x-\frac{7}{4}=-\sqrt{\frac{225}{16}}[/tex]
[tex]x-\frac{7}{4}=-\frac{15}{4}[/tex]
[tex]\mathrm{Add\:}\frac{7}{4}\mathrm{\:to\:both\:sides}[/tex]
[tex]x-\frac{7}{4}+\frac{7}{4}=-\frac{15}{4}+\frac{7}{4}[/tex]
[tex]x=-2[/tex]
The solutions to the quadratic equation are:
[tex]x=\frac{11}{2},\:x=-2[/tex]
Therefore, x=-2 solves the equation h(x)=10.
11 x (9-3)
I need HELP NOW U WILL GET BRANLIEST
Answer:
your answer is 96
Step-by-step explanation:
hope this helps
Answer:
66
Step-by-step explanation:
9-3=6
6 x 11=66 :))))
Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $479.76. Water World is offering an 18-month membership for $350.00. Which describes the swim club that has the lower-priced offer?
Aqua Plus has the lower cost of $239.88 per year.
Water World has the lower cost of $239.88 per year.
Aqua Plus has the lower cost of $19.44 per month.
Water World has the lower cost of $19.44 per month.
Answer:
water world give lower priced offer
Step-by-step explanation:
Offer given by Aqua Plus
two-year membership for $479.76
it means,
for 24 month=$479.76
For 1 month=$
For 1 month membership Aqua Plus take $19.99
Now Offer given by Water World
18-month membership for $350.00
it means for 18 month=$350.00
and For 1 month=$
For 1 month membership water world takes $19.44
it means amount taken by water world for 1 month membership is less than the amount taken for 1 month by Aqua plus
Therefore, water world give lower priced offer.
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Which relation is a function?
When a rock is dropped on Earth, the time in seconds it takes the rock to fall d meters is modeled by √0.45d. When a rock is dropped on the moon, the time in seconds it takes the rock to fall d meters is modeled by √1.11d. Does it take more time on Earth or on the moon for a rock to fall 50 meters? Show your work.
Answer:
It takes more time on moon for the rock to fall.
Step-by-step explanation:
Given that:
Time it takes for rock to fall d meters on earth = √0.45d
Time it takes for rock to fall d meters on moon = √1.11d
For a rock to fall 50 meters:
On earth :
Time = √0.45*50 = 4.7434164 seconds
On moon :
Time = √1.11*50 = 7.4498322 seconds
Time on moon > Time on earth
Hence, It takes more time on moon for the rock to fall.
Tara bought a 1.8-acre lot. She is going to have to sod put on 0.6 of the lot.
Which grids show the correct shading to model the multiplication?
I think c???? because yeah dsfiesnfgb
Answer:
i have that same Question
Step-by-step explanation:
The table shows the height of water in a pool as it is being filled. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? Height of Water in a Pool Time (min) 2 4 6 8 10 Height (in.) 8. R12 16 20 24 O The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. O The height of the water will be 2 inches when the pool is filled.
Answer:
Step-by-step explanation:
Answer:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
Felix has a bucket of golf balls. The table shows the number of times each color of golf ball was drawn. Based on the information in the table, in how many of the next 180 draws should the outcome be expected to be white? Round your answer to the nearest whole number if needed
Use the order of operations to simplify 4(3.5-1.5)-1/2
Answer:
7.5
Step-by-step explanation:
4*3.5 = 14
4*-1.5 = -6
14 + -6 = 8
8-1/2 = 7.5
Answer:
7.5
Step-by-step explanation:
The tables represent the functions f(x) and g(x).
A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15.
Which input value produces the same output value for the two functions?
Hint, because the tables are incomplete, you will need to solve by setting the equations equal to each other.
A. x = -12
B. x = -9
C. x = -6
D. x = -3
Answer:
c
Step-by-step explanation:
Answer:
B) x=-9
Step-by-step explanation:
Please help me with this
Answer:
30
Step-by-step explanation:
x+2x+3x=180
6x=180
x=30
I really need help plz ok
Answer:
n = 12
Ava has 12 times as many eggs as Cole
Step-by-step explanation:
May I have brainliest please? :)
4(5c+3) and 9c+7 is it equivilent
Answer:
why are you cheating
Step-by-step explanation:
whats your reputation
Answer:
Step-by-step explanation:
Yes
Solve for x
-2x+8y=20
Answer:
X=-6
Step-by-step explanation:
-2 times -6= 12 12+8=20
What equation of the line is parallel to y=4x-9
Answer:
y= 4x (any number negative or positive except -9)
Write this on your paper:
y = 4x +1
Please help !!!!! Don’t answer if you just want to scribble . Imagine how you would feel if it were you .
Answer:
m= -3
b= 4
Step-by-step explanation:
whatever number has x next to it is always slope, that is how you find slope in a equation. To find y-intercept (b) you can just use the other number that doesn't have x to it.
Hope this helps!!!
which of the following represents an exponential function
Answer:
what are the options
Step-by-step explanation:
Consider the recursively defined function below
Create the first five terms of the sequence defines by the given function
Answer:
So, the first five terms of the sequence defined by the given recursive function are shown below.
F(1) 0.75 f(2) 1.1 F(3) 1.45 F(4) 1.8 f(5) 2.15
written on plato
Step-by-step explanation:
Jordan is using his birthday money to buy baseball cards. Danny's Downtown Shop sells boxes of 80 cards for $23.20. The General Store sells boxes of 120 cards for $28.80. Which store offers the better deal?
Answer:
I believe that the general store offers a better deal.
Answer:
I believe that the general store offers a better deal
Step-by-step explanation:
PLS HELP ME IM.BAD AT THIS
Answer:28.8
Step-by-step explanation:
PLEASE HELP!!!
HSJSHGXDBSJHCBDSHDCB PLEASEE
Answer:
you can give her brainliest now c:
Step-by-step explanation:
Please answer this!!
Answer:
3,724 cubic inches
Step-by-step explanation:
All you have to do is multiply 19•14•14
will give brainly if you help
Answer:
I think it is 0
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
To find the y-intercept from a table all you have to do is find when x is 0 because the y-intercept is (0,5) on a graph