Answer:
42
Step-by-step explanation:
Trapezoid has 4 lines
If each side increase by 7, 4 lines totally increase by 7*4 = 28
Perimeter will be 14 + 28 = 42
What percentage of canadians live within 100 miles of the u. S. Border?.
Answer:
90%
Step-by-step explanation:
Which of the following statements are true about the graph? Check all that apply.
The graph has a minimum.
The graph has a maximum.
The graph has zeros of -4 and 2.
The vertex is located at (-1,-9).
Answer:
the graph has a minimum
Step-by-step explanation:
the minimum is -9
Answer:
the graph has a minimum & the vertex is located at (-1,-9)
Step-by-step explanation:
Minimum is where its like at the bottom opening down. And the vertex is the x value of the minimum point. Maximum is the opposite where the curve is facing upwards and is the highest point where the vertex is the x value of the maximum or highest point.
Leave answer in the simplest radical form.
[tex]\frac{7x^-^3^/^2y^5^/^2z^-^2^/^3}{56x^-^1^/^2y^1^/^4}[/tex]
[tex]\cfrac{7x^{-\frac{3}{2}} ~~ y^{\frac{5}{2}} ~~ z^{-\frac{2}{3}}}{56 x^{-\frac{1}{2}} ~~ y^{\frac{1}{4}}}\implies \cfrac{7}{56}\cdot \cfrac{y^{\frac{5}{2}} ~~ y^{-\frac{1}{4}}}{x^{-\frac{1}{2}} ~~ x^{\frac{3}{2}} ~~ z^{\frac{2}{3}}}\implies \cfrac{1}{8}\cfrac{y^{\frac{5}{2}-\frac{1}{4}}}{x^{-\frac{1}{2}+\frac{3}{2}}~~ z^{\frac{2}{3}}}[/tex]
[tex]\cfrac{y^{\frac{9}{4}}}{8x z^{\frac{2}{3}}}\implies \cfrac{\sqrt[4]{y^9}}{8x\sqrt[3]{z^2}}\implies \cfrac{\sqrt[4]{y (y^2)^4}}{8x\sqrt[3]{z^2}}\implies \cfrac{y^2 \sqrt[4]{y}}{8x\sqrt[3]{z^2}}[/tex]
A 15-foot ladder rest against a wall, The base of the ladder is 8 feet from the wall.
How far is the top of the ladder from the ground, Enter your answer as a decimal to the nearest tenth.
Can someone help I’ve been stuck on this question for almost a hour (please help).
Answer:
12.7
Step-by-step explanation:
Its a pythagerous question question
so if the ladder is 8 feet from the wall the base is 8
and the ladder is 15 foot and is the hypotemuse
so 15^2-8^2=161^2
The root of 161 = 12.69 rounded to 2 dp
so 12.7
The distance far the top of the ladder from the ground is 12.7 feet
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
We are given that;
Length= 15foot
Base= 8feet
Now,
In this case, the ladder is the hypotenuse, and the base and the height are the legs. So, we can write:
15^2 = 8^2 + h^2
where h is the height of the ladder from the ground. Solving for h, we get:
h^2 = 15^2 - 8^2
h^2 = 225 - 64
h^2 = 161
h = sqrt(161)
h = 12.688
Therefore, by Pythagoras theorem the answer will be 12.7 feet.
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What is the length of the hypotenuse of the triangle?
Triangle A B C. Side A C is 7 feet and side C B is 4 feet. Hypotenuse A B is unknown.
StartRoot 22 EndRoot ft
StartRoot 33 EndRoot ft
StartRoot 57 EndRoot ft
StartRoot 65 EndRoot ft
Answer:
[tex]\sqrt{65}[/tex]
Step-by-step explanation:
[tex]a^{2}+b^{2}=c^{2}[/tex]
[tex]4^{2} +7^{2} =c^{2}[/tex]
[tex]16+49=c^{2}[/tex]
[tex]65=c^{2}\\\sqrt{65}=c[/tex]
Answer:
65
Step-by-step explanation:
Evaluate the expression when x = 4 and y = 5.
3x2 + 4y0 • x –1
Answer:
60
Step-by-step explanation:
The evaluated expression of 3x² + 4y⁰(x - 1) when x = 4 and y = 5 is 60.
What is Substitution?
Substitution simply means to put in place another. Therefore, let's substitute the value of x and y in the mathematical expression.
3x² + 4y⁰(x - 1)
Therefore,
y⁰ = 1
3x² + 4y⁰(x - 1)
3x² + 4y⁰(x - 1)
3x² + 4(x - 1)
3x² + 4x - 4
Therefore, when x = 4 and y = 5
3(4)² + 4(4) - 4
48 + 16 - 4 = 60
HOPE THIS HELPED!
Answer:
B
Step-by-step explanation:
write the ratio for the trig function indicated
Answer:
sin Θ = 11/19
Step-by-step explanation:
19 is the hypotenuse.
The legs are 11 and 4√15.
sin Θ = opp/hyp
For angle Θ, 11 is the opposite leg.
sin Θ = 11/19
Answer:
11/19 the other guys is correct
Step-by-step explanation:
Apply the means-extremes property to the ratios of the corresponding sides to determine if the polygons are similar. has sides of length 2 cm, 3 cm, and 3.5 cm. has sides of length 4 cm, 6 cm, and 7 cm.
The ratio of the sides of the triangles ΔABC and ΔDEF are constant that is 1/2. Then the triangles ΔABC and ΔDEF are similar triangles.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangles are given below.
The ratio of the sides of the triangles ΔABC and ΔDEF will be
AB / DE = BC / EF = CA / FD
2 / 4 = 3 / 6 = 3.5 / 7
1 / 2 = 1 / 2 = 1 / 2
The ratio of the sides of the triangles ΔABC and ΔDEF are constant that is 1/2. Then the triangles ΔABC and ΔDEF are similar triangles.
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You start at (8, 0). You move right 2 units. Where do you end?
Answer:
(10,0)
Step-by-step explanation:
Moving right 2 units will increase the x value by 2 since you are going further 'down the corridor'. Hope this helps.
Help me with this question please
An associate in a scatter plot tells us the relation between the two variables. The points that are true about the given scatter plot are C and F.
What is an associate?An associate in a scatter plot tells us the relation between the two variables. There are 4 types of associates:
Positive associate: If the value of one variable is increasing the value of another increase as well, but the relation is not linear.
Negative associate: If the value of one variable is decreasing with the value of another increasing as well, but the relation is not linear.
Linear Associate: If the value of one is dependent on the other such that they follow a function of line, and all the data points are on that function line.
Non-linear Associate: If the data points of the plot are scattered and random, such that there is no relationship between the points.
The points that are true about the given scatter plot are:
C.) There appears to be a positive association.
F.) A cluster appears to be at the bottom left corner.
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Round this number to the nearest one.
87.2
Answer:
i guess 87
Step-by-step explanation:
87.2
nearest must be 87
if 87.5
nearest is 88
See
The rule is If the number aside(right) to the number where to be rounded is less than 5 then it remains same else increases one
2<5So
it will yield as 87
see attached question please please help!!
Based on the size of the pool that Mr. DelGrande wants to build, the ratio of the Olympic pool to the smaller pool is 2.5:1 and the area of an Olympic pool is 1,250 m².
What is the ratio of the length of an Olympic pool to Mr. DelGrande's pool?The ratio of the pools is:
Olympic pool length : Mr. DelGrande pool
50 : 20
Simplest terms give:
50 / 20 : 20 / 20
2.5 : 1
What is the area of a regulation Olympic Pool?Given the area of Mr. DelGrande's pool, the area of an Olympic pool is:
= Ratio ² x Area of Mr. DelGrande pool
= 2.5² x 200
= 1,250 m²
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Jeriel has a bag that contains strawberry chews, lemon chews, and watermelon chews. He performs an experiment. Jeriel randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jeriel performs the experiment 31 times. The results are shown below: A strawberry chew was selected 24 times. A lemon chew was selected 3 times. A watermelon chew was selected 4 times. Based on these results, express the probability that the next chew Jeriel removes from the bag will be a flavor other than lemon as a decimal to the nearest hundredth.
The probability that the next chew Jeriel removes from the bag is a flavor other than lemon will be 90.32%.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Jeriel has a bag that contains strawberry chews, lemon chews, and watermelon chews. He performs an experiment.
Jeriel randomly removes a chew from the bag, records the result, and returns the chew to the bag.
Jeriel performs the experiment 31 times.
The results are shown below:
A strawberry chew was selected 24 times.
A lemon chew was selected 3 times.
A watermelon chew was selected 4 times.
Based on these results, express the probability that the next chew Jeriel removes from the bag is a flavor other than lemon will be
P = 24/31 + 4/31
P = 28/31
P = 0.90322
P = 90.32%
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explain why the sum of two angles of any triangle always equals the exterior angle of the third.
Answer:
they are congruent
Step-by-step explanation:
b because a same size
Jacob opens a savings account for a vacation with $200.50. Jacob wants to have at least $856.90 in the account in 4 weeks. What is the minimum amount Jacob should save per week to meet his goal? Enter your answer in the box.
Answer:
x = 164.10
Step-by-step explanation:
translated question says :
200.50 + 4x = 856.90
4x=656.40
x = 164.10
Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms. is alana correct? use terms from the word lis in your answer.
Step-by-step explanation:
Alana is correct.
example : a kite
2 pairs of equally long sides, but none is parallel.
Im Not Sure of this. Can I get some help?
Answer: The amount of grain it can hold can also be called it's volume. 423.9
The formula for volume is PI × Raduis² × Height
And for the radius we divide the diameter by 2.
Answer:
Option A.
V = π × r(9)² × 15 ≈ 3,817.04
Which rounds closest to
3,815.10 inches
5. A sum of money is divided among Ethan, Jun Wei
and Raj in the ratio 5:6:9. After Ethan gives $50
Find the amount of money Ethan has after giving
to his mother, the ratio becomes 3:4:6.
$50 to his mother.
(Step by step explain pls)
Answer:
$450
Step-by-step explanation:
Let E be the amount of money Ethan starts with, J be the amount Jun Wei starts with, and R be the amount Raj starts with. Let M be the total amount of money to start with.
To start:
[tex]E:J:R = 5:6:9[/tex]
This means Ethan has 5/20 of M, the money to start with. This reduces to 1/4 of M.
Afterwards:
[tex](E-50):J:R = 3:4:6[/tex]
This means Ethan has 3/13 of the remaining money (which is M-50!) after giving up 50. So
E = (M/4), or 4E = M
and
[tex](E - 50) = 3/13 * (M - 50)[/tex]
We know 4E = M, so we can substitute that in:
[tex](E - 50) = 3/13 * (4E - 50)E - 50 = (12/13)E - 150/13E - 650/13 = (12/13)E - 150/13(1/13)E = 500/13E = 500[/tex]
That's how much money Ethan had to start with. But we're asked how much he has AFTER giving $50 away, so that's $450.
Find the surface area of the composite figure.
Answer:
402.9092
Step-by-step explanation:
surface area of cylinder - top base = 301.5946
surface area of cone - base = 101.3146
add together 402.9092
A map has a scale of 1 cm: 10 km. If Centerville and Greenwood are 40 km apart, then they are how far
apart on the map?
(Pls answer quick)
Answer:
4 cm
Step-by-step explanation:
1 cm : 10 km (given)-> 1*4 cm = 10*4 km (Multiply both sides by 4)-> 4 cm = 40 kmScale
1cm:10kmScale factor=10
Distance of Greenwood=40km
Now apart in map
40/104cmThe peanuts cost $2.70 for 1 pound. How
much does 3.5 pounds of peanuts cost?
Answer: $9.45
Step-by-step explanation:
Set up a proportion of 2.70/1 = x/3.5. To solve, multiply 2.70 by 3.5 and divide by 1. 2.70*3.5 = 9.45/1 = 9.45.
An open box is to be made out of a 6-inch by 18-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. find the dimensions of the resulting box that has the largest volume.
dimensions of the bottom of the box:
height of the box:
An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.
Dimensions of the bottom of the box: L x W
Height of the box:
SOLUTION
Diagram
Cardboard with x2 area cutouts...
··················14 - 2x
···x··¦¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¦···x··
¦——¦·······························¦——¦
¦·············································¦
¦·············································¦ 6 - 2x
¦·············································¦
¦——¦·······························¦——¦
···x··¦___________________¦··x···
Volume = l·w·h
After cutouts:
l = 14 - 2x
w = 6 - 2x
h = x
V = (14 - 2x)(6 - 2x)(x) in3
V = 4x3 - 40x2 + 84x in3
To maximize the volume, take the derivative of V with respect to x, set it equal to zero, and solve for x:
dV/dx = 0 = 12x2 - 80x + 24
x2 - (20/3)x + 7 = 0
x = (10 ± √37)/3 in
Since (6 - 2x) yields a negative number for x = (10 + √37)/3 we use only x = (10 - √37)/3
Thus, the dimensions are:
l = 14 - 2x = 11.39 in
w = 6 - 2x = 3.39 in
h = x = 1.31 in
Base = l·w = 38.59 in2
Volume = 50.39 in3
For what values of x is x2-36=5x true? -9 and -4 -4 and 9 4 and -9 9 and 4.
Answer: -4 and 9
Step-by-step explanation:
Please help!! <333
Hurry
Answer:
159.25cm²
Step-by-step explanation:
A=lw
A=12×10cm
The rectangle’s area is 120cm²
First, substitute the given information into the equation for the area of a circle.
A=πr²
A=(3.14)(5²)
A=3.14×25
A=78.5
Next, because the figure is only half of a circle, divide this in two.
78.5/2= 39.25cm²
Asc=39.25cm²
Add the two areas together.
A=Ar+Asc
120cm²+39.25cm²
The area of the combined figure is 159.25cm²
a book store was selling 7 books for $39.55. online you could buy 3 books for $24.96. which place has a lower unit price
Answer:
the book store selling 7 books for $39.55 (the book store)
Step-by-step explanation:
we have to calculate what each book costs. to find out what each book costs, we have to use division...
so for the book store:
39.55 / 7 = 5.65 - this means that each book costs $5.65 by itself
for the online store:
24.96 / 3 = 8.32 - this means that each book costs $8.32 by itself
now we have to compare the prices... $5.65 costs less than $8.32, so the book store would have a lower unit price.
Sam is saving money to buy himself a new phone. He currently has $95. He is able to save about $20 a week. Let represent how much money he has saved, and the number of weeks that have passed since the current date. Choose the correct function rule.
a. s(w) = 95 + 20w
b. s(w) = 95w + 20
c. w(s) = 95s + 20
d. w(s) = 95 + 20s
Answer:
the correct answer is d
Step-by-step explanation:
w(s)=weeks saved and 20s is the gain of 20 dollars every week. and the 95 is the starting amount that sam had
Hugo lives in the northwest corner of Greene County, Lena lives 29 miles away in the southeast corner, and the office where they work is directly between them. On Monday, Hugo took the bus into work, taking a direct route at 32 miles per hour. Lena left at the same time, taking her car along a direct route at a speed of 36 miles per hour. The two coworkers arrive at the office at the same time. How long did the commute take? If necessary, round your answer to the nearest minute.
Using the relation between velocity, distance and time, it is found that the commute took 48 minutes.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
For Lena, we have that d = 29, v = 36, hence the time in hours is given by:
[tex]t = \frac{d}{v} = \frac{29}{36} = 0.8056[/tex]
In minutes, the time is given by:
tM = 0.8056 x 60 = 48.
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what is 40% of 526,367.50
Answer:
[tex]210547[/tex]
Hope this helps. :)
Answer:
210547
Step-by-step explanation:
Multiply 526, 367.50 by 40 percent than the answer you get from that subtract from 526,367.50 then you get 210547.
Hope this Helps!
:D
Which is the graph of the inequality?
3y−9x≥9
Number graph ranging from negative ten to ten on the x and y axes. A dotted line passes through (zero, negative two) and (five, negative three). The area above the line is shaded gray.
Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray.
Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A solid line passes through (zero, negative fourteen) and (two, zero). The area to the right of the line is shaded gray.
Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A dotted line with a positive slope is drawn in the fourth quadrant of the graph. The area above the line is shaded gray.
A solid line passes through (-1, 0) and (0, 3). The area to the left of the line is shaded gray.
How to get the graph of the inequality?
Here we have the inequality:
3y - 9x ≥ 9
First, we should isolate y on one side of the inequality.
3y ≥ 9x + 9
y ≥ 3x + 3
Then, the graph will be a solid line of the form:
y = 3x + 3
Where the line is solid because the points on the line are solutions, and we need to shade all the region above the line.
Also, notice that for the line:
y = 3x + 3
if x = -1 we have:
y = 3*(-1) + 3 = 0
if x = 0 we have:
y = 3*0 + 3 = 3
Then the line passes through (0, 3) and (-1, 0). So the correct option is the second one.
"Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray."
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Match each equation with the number that makes it true.
the first equation is 15
the second equation is 3
the third equation is 17
the fourth equation is 7
the fifth equation is 6
the sixth equation is 50
the seventh equation is 2
the eighth equation is 5
the ninth equation is 11
the tenth equation is 31
Please can i have brainliest I did all answers correct I hope this helps you