Given :
A company currently has an advertisement that covers a bill board that is 30 ft wide by 70 ft high. The company wants to reduce the same advertisement to fit on a new billboard that is 25 ft wide by 40 ft high.
To Find :
The dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement.
Solution :
Area of original bill board :
[tex]A_i=30\times 70 = 2100\ ft^2[/tex]
Area of new bill board :
[tex]A_f=25\times 40 = 1000\ ft^2[/tex]
Since, new bill board can be completely fitted in original bill board as its length and breadth both are smaller than that.
So, the dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement is equal to 1000 ft².
Hence, this is the required solution.
Plz Help With This Math Brainliest First Person
Answer:
∠L = 54°
Step-by-step explanation:
5x + 2x + 3x = 180 (all angles in a triangle add up to 180)
10x = 180
x = 18°
∠L = 3x
sub x = 18
3(18) = 54
∠L = 54°
3.) Light travels at a speed of 1.25 x 107 miles per minute. Pluto's average distance from the
Sun is about 3,550,000,000 miles. On average, how long does it take sunlight to reach Pluto?
I have no idea whether those numbers are correct, and I'm not gonna bother looking them up.
But you gave us a speed and a distance, and you asked for a time.
We can just go ahead and use the formula: Time = (distance) / (speed) .
IF your numbers are true, then
Time = (distance) / (speed)
Time = (3.55 x 10⁹ mi) / (1.25 x 10⁷ mi/min)
Time = (3.55 x 10⁹ / 1.25 x 10⁷) minutes
Time = 2.84 x 10² minutes
Time = 284 minutes
Time = 4 hours 44 minutes
describe a pentagonal prism.
Step-by-step explanation:
A pentagonal prism is a prism having two pentagonal bases and five rectangular sides. It is a heptahedron.
The regular right pentagonal prism is uniform polyhedron . Its dual polyhedron is the pentagonal dipyramid.
The surface area and volume for the right regular pentagonal prism of unit edge length are
S = 5+1/2sqrt(5(5+2sqrt(5)))
(1)
V = 1/4sqrt(5(5+2sqrt(5))).
Can someone help me photo is above
Answer: 9x + (-1)
Step-by-step explanation:
(7x + 2x) + (2 -3)
9x + (-1)
Answer:
14x²-17x-6
Step-by-step explanation:
multiply (7x+2)(2x-3)
(1) multiply 7x and 2x =14x²
(2) multiply 7x and -3 = -21x
(3) multiply 2 and 2x= 4x
(4) multiply 2 and -3 = -6
Last step: add all answers from step 1 to 4
: 14x² +(-21x)+4x+(-6)
answer: 14x²-17x-6
Brandon goes to the fair with $25.00. He spends $4.00 to get in and the rest on tickets for rides. Each ride ticket costs $1.50. How many ride tickets does brandon buy? Explain how you got your answer below.
Answer:
14
Step-by-step explanation:
$25.00 - $4.00 = $21.00
$21.00 / $1.50 = 14
Answer:
14 ride tickets
Step-by-step explanation:
He has $25, and spends $4. So 25 - 4 = 21. Each ride ticket is $1.50. So 21 ÷ 1.50 = 14
Someone help me im struggling.
Find the length of d in the figure below if a = 8 in., b = 3 in., and c = 4 in. Round your answer to the nearest tenth.
Answer:
Let's see what to do buddy...
Step-by-step explanation:
_________________________________
Step (1)
First we find the diameter ((h)) of the rectangle on the floor using the Pythagorean theorem.
So we have :
[tex] {h}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {h}^{2} = 64 + 9 [/tex]
[tex] {h}^{2} = 73 [/tex]
[tex]h = \sqrt{73} [/tex]
_________________________________
Step (2)
Now we another using of Pythagorean theorem for finding d :
[tex] {d}^{2} = {h}^{2} + {c}^{2} [/tex]
[tex] {d}^{2} = 73 + 16 [/tex]
[tex] {d}^{2} = 89 [/tex]
[tex]d = \sqrt{89} [/tex]
[tex]d = 9.4[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Which expression is equivalent to cos(103°)cos(54°) – sin(103°)sin(54°)?
sin(49°)
cos(49°)
sin(157°)
cos(157°)
Answer:
D - cos(157)
Step-by-step explanation:
Cos sum angle identity
cos(A+B) = cosAcosB - sinAsinB
103+54=157
The correct answer to the question is Cos 157
There are two ways to solve this question:
Method 1:Evaluate: Cos103Cos54 – Sine103Sine54
This can be obtained as follow:
Cos103Cos54 – Sine103Sine54
= –0.1322 – 0.7883
= –0.9205Next, we shall evaluate each option given in the question to see which will be equivalent to –0.9205. This is illustrated below:
Sine 49 = 0.7547
Cos 49 = 0.6561
Sine 157 = 0.3907
Cos 157 = –0.9205From the above evaluation, we can see that Cos 157 is equivalent to Cos103Cos54 – Sine103Sine54
Thus, Cos 157 is the correct answer to the question.
Method 2Again, we can apply the addition formula from trigonometry.
Cos (A – B) = CosACosB + SineASineB
Cos (A + B) = CosACosB – SineASineB
Sine (A + B) = SineACosB + SineBCosA
Sine (A – B) = SineACosB – SineBCosA
Comparing
Cos103Cos54 – Sine103Sine54 with the formula given above, it is very clear that:
Cos103Cos54 – Sine103Sine54 = Cos(103 + 54)Cos103Cos54 – Sine103Sine54 = Cos 157
Recall:
Cos103Cos54 – Sine103Sine54 = –0.9205
Cos 157 = –0.9205
Therefore, Cos 157 remains the correct answer to the question.
Learn more: https://brainly.com/question/24487371
help please i’m really stuck and i need help please
ivy bought 10 packs of cups for her holiday party. a pack of medium cups costs $1.80 and a pack of large cups costs $2.40. she paid a total of $21.60. how many packs of each size cup did she buy?
Answer:
4 packs of medium cups and 6 packs of large cups
Step-by-step explanation:
1.80x + 2.40y = 21.60
1.80(4) + 2.40(6) = 21.60
7.2 + 14.4 = 21.60
21.60 = 21.60
Answer:
Ivy bought 4 packs of medium cups, and 6 packs of large cups.
Step-by-step explanation:
To solve this problem, we will have to use a system of equations. Our first equation will represent the cups, and our second equation the costs.
Let [tex]m[/tex] equal medium cups.
Let [tex]l[/tex] equal large cups.
[tex]m+l=10[/tex]
[tex]1.80m+2.40l=21.60[/tex]
Let's use substitution to solve this system.
Subtract [tex]l[/tex] from both sides of the first equation:
[tex]m=10-l[/tex]
Let's substitute [tex]10-l[/tex] into the second equation for [tex]m[/tex]:
[tex]1.80(10-l)+2.40l=21.60[/tex]
Distribute [tex]1.80[/tex] into [tex](10-l)[/tex]:
[tex]18-1.80l+2.40l=21.60[/tex]
Combine like terms:
[tex]18+0.6l=21.60[/tex]
Subtract [tex]18[/tex] from both sides of the equation:
[tex]-0.6l=3.60[/tex]
Divide by the coefficient of [tex]l[/tex], which is [tex]0.6[/tex]:
[tex]l=6[/tex]
Ivy bought 6 packs of large cups.
_
Let's substitute [tex]6[/tex] into the first equation to find the number of medium cup packs:
[tex]m+6=10[/tex]
Subtract [tex]6[/tex] from both sides of the equation:
[tex]m=4[/tex]
Ivy bought 4 packs of medium cups.
_
We can check our work 2 ways; by substituting our solved values into the initial equations.
1st Equation Check:
[tex](4)+(6)=10[/tex]
[tex]10=10[/tex]
2nd Equation Check:
[tex]1.80(4)+2.40(6)=21.60[/tex]
[tex]7.2+14.4=21.60[/tex]
[tex]21.60=21.60[/tex]
Our answers are correct!
Which simplified equation is equivalent to the equation shown below?
15x - 5 + x= -47
A. 11x= -47
B. 16x-5= -47
C. 14x - 5 = -47
D. 21x = -47
Answer: B
Step-by-step explanation:
The simplified equation that is equivalent to the given equation is 16x - 5 = -47. The correct answer is option B.
The equation is given as follows:
15x - 5 + x = -47
A solution to an equation, as we know, is a variable value that, when substituted into the equation, provides a true claim.
To simplify the equation 15x - 5 + x = -47, we can combine the like terms on the left side of the equation.
Combining the terms with 'x', we have:
15x + x - 5 = -47
16x - 5 = -47
Therefore, the simplified equation that is equivalent to the given equation is 16x - 5 = -47.
Learn more about the solution to the equation here:
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#SPJ6
PLEASE HELP!! (I'LL GIVE BRAINLY!)
Answer:
x inntercept is 2
Step-by-step explanation:
Last year the depth of the river was 4.2 feet deep.
This year it dropped 8%.
Find the depth of the river this year
HELP ME PLSS !!!
Answer:
should be around 3.9 exact answer is 3.864
Step-by-step explanation: subtract the percentage from the original depth
passes through (-7, -4) parallel to y=1/2x+9
Answer:
y = 1/2x -.5
Step-by-step explanation:
We know that is the line is parallel to the equation then the slopes are going to be the same we just have to find the a different y-intercept.
It's a simple as this just plug the points into the equation you have like this.
(-7,-4) (PLUG IN)
-4 = 1/2(-7) +b (I do plus be so we can get another y intercept)
-4 = -3.5 + b (add 3.5 on each side)
-.5 = b
the equation parallel to the first one is...
y = 1/2x -.5
james and bethany morrison are celebrating their 10th anniversary by having a reception at a local reception hall. they have budgeted $2.500 for their reception. if the reception hall charges a $100 cleanup fee plus $33 per person, find the greatest number of people that they may invite and still stay within their budget
Answer:
72 guests
Step-by-step explanation:
2 500$ - 100$ {divided by} 33$ = 72.73 = 72 (round down)
To which family does the function y = (x + 2) Superscript one-half Baseline + 3 belong?
quadratic
square root
exponential
reciprocal
Answer:
option b: square root
Step-by-step explanation:
just got correct on edge 2020
The family of the function belongs to square root.
We can solve this by understanding some types of functions
What is Function?This is an expression that relates two variable to one another.
In this question, we are looking for the family of the equation.
The function given is
[tex]y = (x + 2)^\frac{1}{2} + 3[/tex]
The options given here are
quadraticsquare rootexponentialreciprocalWhat is a quadratic equation?This is a polynomial that the variable have the highest power of 2. An example of this is [tex]y = ax^2 + bx + c[/tex]
What is a square rootThis a function in which the variable is a square root to the main function.
An example of this is [tex]y = \sqrt{x}[/tex]
What is an Exponential FunctionThis is a function in which one of the variable has an exponential function to the other. An example of this is [tex]y = 2e^x[/tex]
What is a Reciprocal FunctionThis is a function in which one of the variable is inverse to the other one. An example of this is [tex]y = \frac{1}{x}[/tex]
From the above explanation, we can see that the function
[tex]y = (x + 2)^\frac{1}{2} +3\\y = \sqrt{x+2} + 3[/tex]
is a square root function
Learn more on functions here;
https://brainly.com/question/15602982
Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used.
Choose the justification for each step in the solution to the given equation.
multiplication property of equality
subtraction property of equality
division property of equality
addition property of equality
simplification
Multiple tiles can be used.
From up to down in justification :
1) Subtraction property of equality
2) Simplification
3) Subtraction property of equality
4) Simplification
5) Division property of equality (( I'm not sure))
6) Simplification
Answer:
Subtract
simp
subtract
simp
multiply
simp
Step-by-step explanation:
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!! Show your work !!!!!!!!!!!!
Solve *
(6 + 3y2 + (9-10 + 5)
Answer:
Step-by-step explanation: The answer is
6y+10
Answer:
The answer is 6y + 10
what is the slope of the line that passes through 2,-1 and 2,-5
Answer:
Undefined.
Step-by-step explanation:
When using the formula y2-y1/x2-x1, the result comes out as -4/0. Any number over a 0 is undefined.
Which of the following equations is nonlinear?
y = 3
y = 8x - 1
y = 5x
y = 5x3
Answer:
D)y=5x³
Answer:
y = 5x^3
Step-by-step explanation:
If there is an exponent other than 1 on a variable, then it is not linear.
Answer: y = 5x^3 since the exponent on x is 3.
The new number, 200, is 400 less than the original number. What is the approximate percent change?
The percent change is approximately 0.6%.
The percent change is approximately 1.5%.
The percent change is approximately 66%.
The percent change is approximately 150%.
Answer:
The percent change is approximately 66%.
Step-by-step explanation:
200 is one-third of 600. In math involving percentages, division comes into play in some ways. Divide 600 by 3, and you get 200. 33% is a third of 100% in mathematics, meaning that 200 is one-third, or 33%, of 600.
Answer:
the answer is 66
Step-by-step explanation:
i just did the test
-7/-11 is the same as -7/11 True or false (Plz help me
Answer: False
Step-by-step explanation:
Two negatives equals a positive
Answer:
FALSE
Step-by-step explanation:
it takes 70 inches of ribbon around a box. the bow takes 32 inches of ribbon the width of the box is 14 inches. what is the height of the box
Find the inverse of the one-to-one function.
y = 3x+4
__ = 4
22 8
Anybody know???
How many angles are supplementary to the angle of 100 degrees?
Answer:
I think its 2 good luck
Step-by-step explanation:
Answer:
100 degrees and 80 degrees are supplementary angles
Step-by-step explanation:
2 angles are supplementary if they add up to 180 degrees
What is the value of for -6a^-3b^2 for a=-2 and b=4?
Easy buddy....
[tex] - 6 \times ({ - 2})^{ - 3} \times ({4})^{2} = [/tex]
[tex] - 6 \times ({ - \frac{1}{2} })^{3} \times 16 = \\ [/tex]
[tex] - 6 \times ( - \frac{1}{8}) \times 16 = \\ [/tex]
16 simplifies to by 8 and equals 2
[tex] - 6 \times ( - 2) = 12[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
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help me please i dont get it
Answer:
b
Step-by-step explanation:
b
Answer:6/12
Step-by-step explanation: you find the common denominator (12 in this case) and multiply 3 by 4 to get that,then you multiply one to get 4.And finally you can add (terrible explanation)
Jackie drinks a bottle of water and a bottle of orange juice every morning the bottle of water has 16.9 the bottle of orange juice has 15.2 which is the best estimate for the total amount jackie drinks in the morning for an entire week and gives a good explanation for that estimate
Answer:
224.7clStep-by-step explanation:
Ok, noticed that the bottles are not properly given a unit according to the question.
let us assume the units are in centiliters that is cl
Every morning the bottle of water has 16.9cl
the bottle of orange juice has 15.2cl
therefore if Jakie does this drinking continuously for 7 days she will be drinking
bottle of water has 16.9cl*7= 118.3cl
bottle of orange juice has 15.2cl*7=106.4cl
total=118.3+106.4
total is 224.7cl
Three times a number that is decreased by four is sixty-two. Find the number.
Answer: 22
Step-by-step explanation: (22 x 3) -4 = 62
