Answer:
According to the graph:
H^2 + 10^2 = 21^2
Solve as:
H = 18.19 feet
So the height is 18.19 feet
Luz borrowed
money from her bank for home repairs, the principal was $25,000, the rate
was 15% the time was 6 years. How
much interest will she pay and what is the total amount she will have to
pay back? (Principal and interest).
The total amount accrued, principal plus interest, from simple interest on a principal of $25,000.00 at a rate of 15% per year for 6 years is $47,500.00.
Answer:
I = $22,500.00
A = $47,500.00
Simple interestGiven Data
Principal = $25000
Rate = 15%
Time = 6 years
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 15%/100 = 0.15 per year.
Solving our equation:
A = 25000(1 + (0.15 × 6)) = 47500
A = $47,500.00
I = A - P = $22,500.00
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Kevin is planning a trip. His round-trip train ticket
costs 550 and the hotel costs $200 per night. If
he spends $850 on his train ticket and hotel, how
many nights did he stay?
can I get help with this please
Answer:
10d or less
Step-by-step explanation:
Joanne would want $50 left, and she has $250. 20 - 50 is 200. 20 goes into 100 5 times.
20 goes into 200 10 times. You just add five. (20, 40, 60, 80, 100)
If she wants at least $50 left, she would have to limit how many Dvd's she buys to 10 or less.
Charles buys 60 packs of pens.
There are 14 pens in each pack.
Each pack costs £4.50.
Charles sells each pen for 70p but he only manages to sell
2
3
of the pens.
How much profit did he make?
Answer:
£122
Step-by-step explanation:
Total no. of pens :- 60× 14= 840
Cost of all pens :- £270
Total no. of pens sold :- 560
Cost of those pens :- £392
Profit = £122Charles made a profit of £122, By selling (2/3)rd of his pens.
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.
Given, Charles buys 60 packs of pens and there are 14 pens in each pack.
If each pack costs £4.50.
So, The Total cost is,
= £(60×4.50).
= £270.
The total number of pens is,
= (14×60).
= 840, And he manages to sell (2/3) of it which is,
= (2/3)×840.
= 560.
Now, The total money made by him is,
= 540×0.7.
= £392.
Therefore, The profit he made is £(392 - 270) = £122.
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The are 3 blue marbles, 4 red marbles and 2 yellow marbles. Find the ratio of blue marbles to red and yellow marbles.
Question 2 options:
4:3
3:4
3:2
1:2
Step-by-step explanation:
3 blue
4 red
2 yellow
in total 9 marbles.
when looking at the 3 blue marbles that leaves 9-3 = 6 others (red and yellow).
so, the ratio is
3:6 = 1:2
remember, a ratio is a fraction and follows the same rules of calculation, simplification, ...
help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Febuary 10th because on the left colom it showss the dates just look for the 10
To build a snowman, Victor made three snowballs with diameters of
1
meter (m),
1
.
5
m,
and
2
m.
To the nearest cubic meter, what is the total volume of snow used in the snowman?
Considering the spherical snowballs, the total volume of snow used in the snowman is of 126 m³.
What is the volume of an sphere?The volume of an sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In this problem, there are three spheres, of radius r = 1 m, r = 5 m and r = 2 m, hence:
[tex]V_1 = \frac{4\pi}{3} = 4.19[/tex]
[tex]V_2 = \frac{4\pi \times 5^2}{3} = 104.72[/tex]
[tex]V_3 = \frac{4\pi \times 2^2}{3} = 16.76[/tex]
The total volume, in cubic meters, is of:
V = 4.19 + 104.72 + 16.76 = 125.67.
Rounding, the total volume of snow used in the snowman is of 126 m³.
More can be learned about the volume of an sphere at https://brainly.com/question/25608353
Please answer ASAP! I am very confused. Please explain steps if possible.
Answer:
943 exponent 14
Step-by-step explanation:
The question deals with indices(exponents). Therefore,all laws of indices related to the question must be applied to clearly solve and understand the question.
so,(943 exponent 78 · 943 exponent 1)/943 exponent 65
· means multiplication so simply,(943 exponent 78 × 943 exponent 1)/943 exponent 65
The laws of indices clearly state that, when two indices of the same base are multiplying, you add their exponents and when dividing,you subtract their exponents.
As all the indices have the same base which is "943", we can quickly add & subtract the exponents.
(Leaving base out of calculation now to make it easier to directly deal with exponents)
(78+1)-65(From the rules)
79-65=14,which means 943 exponent 14
∴The answer is 943 exponent 14
Mal spends 7 hours in school each day. Her lunch period is 1 hour long, and she spends a
total of 1 hour switching rooms between classes. The rest of her day is spent in 6 classes that
are all the same length, How long is each class?
Answe asap please
Answer:
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15
x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666
---
answer:
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15
x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666
---
answer:
each class is 1.07 hours
Step-by-step explanation:
Complete the square to write the equation, 4x2 24x – y 43 = 0, in standard form. y = (x )2
An equation is formed of two equal expressions. The equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation that is given to us is 4x²+24x-y+43=0, and we need to write the given equation in the form of y=(x)². Therefore, the equation can be solved in the following steps,
[tex]4x^2+24x-y+43=0\\\\4x^2+24x-y+36+7=0\\\\(4x^2+24x+36)-y+7=0\\\\(2x+6)^2-(y-7)=0\\\\(y-7)=(2x+6)^2[/tex]
Hence, the equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².
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Which ordered pair is the solution of the system of a linear equation? (See image)
Answers:
(-4,-2)
(-4,2)
(-2,-4)
(2,4)
Check the picture below.
The formula P = I-E is used to calculate profit.
P = Profit
I= Income
E = Expenses
The school bake sale earned $72 in sales and had
$125 in expenses.
Find the profit.
b. What does a negative profit mean?
Hey there!
P = I - E
Income = $72Expenses= $125P = I - E {Add values}
P = 72 - 125
= -53
Negative profit means loss, which means there was no gain
Hopes this helps
(NEED HELP FAST 50PTS) Find the function with x-intercepts (-2, 0) and (4, 0), which also goes through the point (3, 10)
A circular concrete patio has a circumference of about 53 yards. The patio has a diameter of d yards. Which expression best represents the value of ?.
Applying the expression for the circumference of circle, we found the diameter as 16.86 yards
Mensuration of Flat shapeGiven Data
Circumference = 53 yardsDiameter = d yardsLet us apply the expression for the circumference of a circle
Circumference = 2πr----------1
But r = d/2
hence put r = d/2 in the expression above
Circumference = 2πd/2----------2
Circumference = πd
Substitute our given data
53 = 3.142*d
Make d the subject of formula we have
d = 53/3.142
d = 16.86 yards
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Sumalee spent $183 on books. Math books cost $21 and english books cost $26. If she bought a total of 8, then how many of each kind did she buy?
What is the area of the quadrilateral
Answer:
Or you could also find the area of 2 triangles and one rectangle.
Area of a triangle = bh/2
1st triangle = 6 x 2 = 12
12 ÷2 = 6
2nd triangle = 6x2= 12 ÷ 2 = 6
Area of a rectangle
A=bh
b = 4
h= 6
6x4=24
Now add all the areas to find out the area of the shape, so
6+6+24 =
[tex]36 {ft}^{2} [/tex]
In which quadrant does θ lie given that sinθ < 0 and cosθ < 0? Thank You!
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
Quadrant III.
Step-by-step explanation:
u said the answer :3
The quadrant that θ lies given that sinθ < 0 and cosθ > 0 will be Quadrant IV
What are trigonometric identities?
Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
we need to first know the signs of the trigonometric functions in each of the 4 quadrants going in an anti-clockwise direction.
In the first quadrant, the cot, sin, cos and tan are all positive.
In the second quadrant going anti-clockwise, only sine is positive.
In the third quadrant going anti-clockwise, only tangent is positive.
In the fourth quadrant going anti-clockwise, only cosine is positive.
We are told that the
sinθ < 0 and cos θ > 0.
This means that sine is negative and cosine is positive.
Looking at the rule, it is clear that the angle is in the fourth quadrant.
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Mike is building storage boxes. Each box will have a length of 5 feet, a width of 412 feet, and a height of 312 feet. A pint of paint covers 50 square feet.
How many pints of paint does Mike need to buy in order to paint 4 boxes?
9 pints
7 pints
6 pints
5 pints
Answer:
Step-by-step explanation:
The question contains typos as I believe the boxes should be 5x4.2x3.2 in dimensions instead.
Assuming that and all 6 faces of each storage boxes will be painted, the surface area of each box is:
= (5*4.2*2) + (4.2*3.2*2) + (3.2*5*2)
= 100.88 square feet
4 boxes will have a total surface area of
100.88*4
= 403.52 square feet
Each pint of paint covers 50 square feet so a total of
403.52/50 = 8.07 or
9 pints is needed.
Why didn't the physics teacher marry the biology teacher
Answer: There wasn't chemistry in them?
XD I dunno ._. >w<
Car #1 travels 288 miles in 4 hours. Car #2 travels 276 miles in 3
hours. What is the speed of car #2 in miles per hours
PLEASE HELP AURGENT
Answer:
Car 1: 72 mph
Car 2: 92 mph
Step-by-step explanation:
Car 1: 72 mph
288/4 = 72
72mph
Car 2: 92 mph
276/3
92 mph
Have an amazing day!!
Please rate and mark brainliest!!
Hi I have been working on this for hours and I still can't figure out what 23x3 is I would really be thankful if you can help me.
Thanks!
The answer to your question is 69
Here are the endpoints of the segments BC, FG, and JK.
B, −67
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{7})\qquad C(\stackrel{x_2}{-4}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{[-4 - (-6)]^2 + [4 - 7]^2}\implies BC=\sqrt{(-4+6)^2+(-3)^2} \\\\\\ BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points}[/tex]
[tex]F(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad G(\stackrel{x_2}{1}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ FG=\sqrt{[1 - (-2)]^2 + [-2 - (-4)]^2}\implies FG=\sqrt{(1+2)^2+(-2+4)^2} \\\\\\ FG=\sqrt{9+4}\implies \boxed{FG=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ J(\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad K(\stackrel{x_2}{5}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}[/tex]
[tex]JK=\sqrt{[5 - 4]^2 + [-2 - 2]^2}\implies JK=\sqrt{1^2+(-4)^2}\implies \boxed{JK=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \overline{BC}\cong \overline{FG}~\hfill[/tex]
A college student takes out a $ 7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet): a. if the bank charges 3.8% interest each year? b. if the bank charges 5.3% interest each year?
Answer:
Substitute P=7500, r=0.053 and t=1 in equation (1). Therefore, the balance of the loan be after one year is $7897.5
2x - 3y = 1, x + 2y = -3 equivalent equation and solution
Answer:
x = -1, y = -1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}2x-3y=1\\ x+2y=-3\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=\frac{1+3y}{2}[/tex]
[tex]\begin{bmatrix}\frac{1+3y}{2}+2y=-3\end{bmatrix}[/tex]
Simplify
[tex]\begin{bmatrix}\frac{1+7y}{2}=-3\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=\frac{1+3y}{2}[/tex]
[tex]\mathrm{Substitute\:}y=-1[/tex]
[tex]x=\frac{1+3\left(-1\right)}{2}[/tex]
[tex]x=-1[/tex]
[tex]The\:solutions\:to\:the\:system\:of\:equations\:are[/tex]
[tex]x=-1,\:y=-1[/tex]
Check Answer:
2(-1)-3(-1) = 1
True
-1+2(-1)= -3
True
~Lenvy~
Bo needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged him $63 for parts. The total was $551.75. What was the cost of labor, per hour?
What are the solutions to the system of equations graphed below?
The solutions to the system of the equations graphed below are where the graphs intersect:
In this case, the two graphs intersect at (0,6) and (-3, -3)
So the solutions are (0,6) and (-3,-3)
Hope that helps!
The solution to the system of the equations below is: (0,6) and (-3,-3)
The solutions are where the two graphs of the equations intersect
After measuring the heights of 7 people, they have an average height of 156cm. after
measuring the heights of 8 people they have an average height of 158cm. how tall is
the 8th person?
Answer:
8th Person = 172 cm tall
Step-by-step explanation:
( a + b + c + d + e + f + g )/7 = 156
a + b + c + d + e + f + g = 1092 total size
----------------------------------------------------------
now they measured 8 people (a + b... g) + h, but we know the total size of the other 7 = 1092
a + b + c + d + e + f + g + h
( 1092 + h )/8 = 158
1092 + h = 158*8
h = 1264 - 1092
h = 172
-----------------------------------
the 8th person is 172 cm tall
bellamy is building a gate to put on a fence. the gates measurements are 7 feet by 7 feet a diagonal wooden brace is going to be attached to keep the gate rigid what is the length of wood bellany needs to cut for the brace leave your answer in simplified radical form
The length of the diagonal is the hypotenuse of the fence
The length of the wood is [tex]7\sqrt{ 2[/tex] yards
How to determine the length of the wood?The dimensions of the fence are:
7 ft by 7 ft
The length (L) of the diagonal is calculated using:
[tex]L = \sqrt{a^2 + b^2[/tex]
This gives
[tex]L = \sqrt{7^2 + 7^2[/tex]
Express as products
[tex]L = \sqrt{7^2 * 2[/tex]
Express as radical
[tex]L = 7\sqrt{ 2[/tex]
Hence, the length of the wood is [tex]7\sqrt{ 2[/tex] yards
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Determine the solution to each linear system by using the substitution method
3x+y=8
6x+2y=10
Answer:
No solution.Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
3x+y=8 and 6x+2y=10
3x+y=8x=8-y/3
Solve.
Rewrite the problem down.
6*8-y/3+2y=10
Then, solve.
16=10
Therefore, the final answer is no solution.
I hope this helps you! Let me know if my answer is wrong or not.
Evaluate each expression using the order of operations
A:-4(-4+3)+2²
B:-3-3-3(-3)
C:-17+2(-2)(-2)
D:-(+2(-3)(5)(3+2)(-6)
Answer:
[A} 8
[B] 3
[C] -9
[D] - 900
Step-by-step explanation:
A:-4(-4+3)+2²
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]-4\left(-1\right)+2^2[/tex]
[tex]-4\left(-1\right)+4[/tex]
[tex]4+4[/tex]
8
-------------------------------------------------------------------------------------------------------------
B:-3-3-3(-3)
[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]
[tex]-3-3-\left(-9\right)[/tex]
3
-------------------------------------------------------------------------------------------------------------
C:-17+2(-2)(-2)
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]-17-\left(-8\right)[/tex]
-9
-------------------------------------------------------------------------------------------------------------
D:-(+2(-3)(5)(3+2)(-6)
[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]
-900
-------------------------------------------------------------------------------------------------------------
[RevyBreeze]