Answer:
107
Step-by-step explanation:
7 + (5^2) x4
= 7 + 25x4
= 7 + 100
= 107
The pentagon is a regular polygon (all sides are equal). What is the Perimeter?
One side is 8x-10
Another side is 2(x+1)
Given:
One side = 8x-10
Another side = 2(x+1)
To find:
The perimeter of the pentagon.
Solution:
We know that, all five sides of a regular pentagon are equal.
[tex]8x-10=2(x+1)[/tex]
[tex]8x-10=2x+2[/tex]
[tex]8x-2x=10+2[/tex]
[tex]6x=12[/tex]
Divide both sides by6.
[tex]x=2[/tex]
Now, the length of each side of the pentagon is
[tex]Side=8(2)-10[/tex]
[tex]Side=16-10[/tex]
[tex]Side=6[/tex]
We know that, perimeter of a regular pentagon is
[tex]P=5a[/tex]
Where, a is the side length.
[tex]P=5(6)[/tex]
[tex]P=30[/tex]
Therefore, the perimeter of the regular pentagon is 30 units.
Write an equation for the line in standard form
Answer:
The equation of the line in standard form is y = -1/2·x - 3
Step-by-step explanation:
From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;
(-4, -1), (-2, -2), and (2, -4)
The slope, m, of the graph is given as follow;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, by substituting the values of the coordinates for two known points, we have;
[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]
The slope of the graph, m = -1/2
The equation of the graph on point and slope form is given as follows;
y - (-4) = -1/2(x - 2)
y = -x/2 + 1 - 4 = -x/2 - 3
The equation of the line in standard form, y = m·x + c is y = -1/2·x - 3.
oaquin counted the number of steps on each level as he ran up the stairs of the tower.
Level Numerical Expression Number of Stairs
1 32 x 1 32
2 32 x 2 64
3 32 x 3 96
4 32 x 4 128
Based on this relationship, how many stairs will Joaquin count by the 23rd level?
A. 165
B. 55
C. 756
D. 736
Answer:
D
Step-by-step explanation:
As soon as you see a number times 1 thats how you can find your unit rate, or constant of proportionality.
So since we know that we are going by 32's, we would do 32 23 times, in other words, 32x23
And when you use a CALCULATOR or pencil and paper you get D, which is 736 stairs
apply the following rule to the point (-5,6): (x,y)-->(y,-x)
Answer:
(6, 5) will be the point after the rule is applied
The required translation as of the given condition is (6, 5).
Given that,
To apply the following rule to the point (-5,6): (x,y)-->(y, -x).
Coordinate, is represented as the values on the x-axis and y-axis of the graph
What is a translation of a point?
Translation of a point is defined as changing the location of the point on an arbitrary space with the help of any function and instructions.
Here,
In the question, a rule is mentioned for the transposition of the coordinates,
(x,y)-->(y,-x)
we just need to simply poor the coordinate in the given translation equation,
(-5, 6) - - -> (6, -(-5))
(-5, 6) - - -> (6, 5)
Thus, the required translation as of the given condition is (6, 5).
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PLEASE HELPPP i’ll give brainliest
unit 8 test study guide right triangles and trigonometry
Answer:
Do you have a picture of the study guide?
Step-by-step explanation:
I am willing to help
Where the above right triangle is given, note that the value of x when rounded to the nearest tenth is 19.2.
What is a right triangle?
A right triangle is a triangle with one angle measuring 90°, forming a perpendicular side.
In this case,the base is 9 and the height is 17. Using the Pythagorean theorem, we can calculate the length of the hypotenuse as follows:
x² = 9² + 17²
x²= 81 + 289
x² = 370
To find the value of x, we take the square root of both sides -
x = √370
x = 19.2353840617
x ≈ 19.2 (rounded to the nearest tenth)
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
Solve for x. Round your answer to the nearest tenth.
Max correctly solved this inequality.
3
10
as-50
Which graph matches the inequality?
+
-55-54-53-52-51-50-49-48-47-46-45
-55-54-53-52-51-50-49-48-47-46-45
-55-54-53-52-51-50-49-48-47-46-45
O A
|_55_54-53-52-51-50-49_48_47_46_45
Answer:
B
Step-by-step explanation:
Got it right on edge. mark me brainliest please
The correct graph for the given inequality is the 2nd one.
What is an inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Given that,
Max correctly solved the inequality and a ≤ -50.
The solution set is all real numbers less than or equal to -50.
Since -50 is inclusive, we draw a closed circle on -50 on the number line and draw the arrow to the left.
Hence, the correct graph is the 2nd one.
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Please help I will mark Brainliest
Give examples of Inverses (ex: are 3 and -3 inverses?)
Answer:
3, -3 ; 4, -4
Step-by-step explanation:
Yes, 3 and -3 are inverse because positive is the inverse of negative.
You could also write
[tex] {3}^{2} [/tex]
and
[tex] \sqrt{3} [/tex]
because squares and square roots are inverse operations.
The numbers you multiply to get a product are called
O addends
O factors
absolute values
O quotients
The ratio of dogs to cats at the local pet store is 5 to 8. If there are 96 cats, how many dogs are there?
Answer:
dogs 5:8 cats
96/8 = 12
12 X 5 = 60
there are 60 dogs
Write the equation of the line in fully simplified slope-intercept form.
( help )
Answer:
[tex]y = - \frac{1}{2} x - 8[/tex]
Step-by-step explanation:
Remmeber:
[tex]slope = \frac{rise}{run} [/tex]
Will give max marks and Brainliest
Answer:
um how do i show you what to label exactly
Step-by-step explanation:
i dont really knoow how to help sry :I
Answer:
I honestly think that you should have listened in class, you would know how to do it.
The sum of four consecutive integers is 48. What is the smallest of four integers?
Plz hurry
Answer:
the sum of four consecutive, odd whole numbers is 48
Step-by-step explanation:
Help me please! :(
1. If Z2 measures 120°, what is the measure of Z1? Explain how you found the measure of 21.
Answer:
60
Step-by-step explanation:
Angles 1 and 2 are supplementary, which means that their sum is 180 degrees.
180 - 120 = 60
Angle 1 is 60 degrees
If Z2 measures 120°. We can see that Angles 1 and Angles 2 are supplementary. Therefore, Angle 1 is 60 degrees.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles.
If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
Those two-two angles are two pairs of supplementary angles.
That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
If Z2 measures 120°
We can see that Angles 1 and Angles 2 are supplementary, which means that their sum is 180 degrees.
Angles 1 + Angles 2 = 180
Angles 1= 180 - 120
Angles 1 = 60
Therefore, Angle 1 is 60 degrees.
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Layla is driving to a concert and needs to pay for parking. There is an automatic fee of
$8 just to enter the parking lot, and when she leaves the lot, she will have to pay an
additional $3 for every hour she had her car in the lot. How much total money would
Layla have to pay for parking if she left her car in the lot for 6 hours? How much
would Layla have to pay if she left her car in the lot for t hours?
Answer:
additional charge=$3×$6
=$18
minimum charge =$8
total=$24
Answer:
$26
8 + 3t
Step-by-step explanation:
The percent decrease of an item that dropped in price from $50 to $43 is what ?
a. 7%
b. 14%
c. 43%
d. 86%
Answer:
B. 14%
Step-by-step explanation:
To find the percent decrease, find the difference between the two prices then divide it by the original price:
50 - 43 = 7
7/50
= 0.14
So, the percent decrease is B, 14%
On some days, Jardon travels from home directly to his
work. On other days, Jardon visits with his friend on his way
to work.
Approximately how much farther would Jardon travel by
walking from his home to his friend's house and then from
his friend's house to work than he would travel by walking
from his home directly to work?
Using the Pythagorean Theorem, it is found that he would travel 92 miles farther by walking from his home to his friend's house and then from his friend's house to work than he would travel by walking from his home directly to work.
The Pythagorean Theorem states that, on a right triangle, the length of the hypotenuse squared is the sum of the length of each leg squared, that is:
[tex]h^2 = l_1^2 + l_2^2[/tex]
Walking from his home to his friend's house and then from his friend's house to work, Jardon travels 240 + 120 = 360 yards.
Directly from his home to work, the distance is the hypotenuse of a right triangle with legs [tex]l_1 = 240, l_2 = 120[/tex], hence:
[tex]d^2 = 240^2 + 120^2[/tex]
[tex]d = \sqrt{240^2 + 120^2}[/tex]
[tex]d = 268[/tex]
360 - 268 = 92
He would travel 92 miles farther by walking from his home to his friend's house and then from his friend's house to work than he would travel by walking from his home directly to work.
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Carol did a study to look at the number of television viewers who watched nightly news in various classes in her school. The results are shown in the table
Answer:
This is a statement what am I supposed to answer????
Answer:
If you multiply the numbers 3with the letters of the names in AZB formula its possible to find the percentages
Step-by-step explanation:
Find the product of the expression:
(3x^2) (5x^8) (6x^5)
Answer:
[tex]\left(3x^2\right)\left(5x^8\right)\left(6x^5\right)=90x^{15}[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(3x^2\right)\left(5x^8\right)\left(6x^5\right)[/tex]
Apply the exponent rule:
[tex]a^b\cdot \:a^c=a^{b+c}[/tex]
so the expression becomes
[tex]\left(3x^2\right)\:\left(5x^8\right)\:\left(6x^5\right)=3\cdot \:\:5\cdot \:\:6x^{2+8+5}[/tex]
Add the exponent numbers: 2+8+5=15
[tex]=3\cdot \:5\cdot \:6x^{15}[/tex]
Multiply the numbers: 3×5×6=90
[tex]=90x^{15}[/tex]
Therefore, we conclude that:
[tex]\left(3x^2\right)\left(5x^8\right)\left(6x^5\right)=90x^{15}[/tex]
What is the value of X?
The answer is x = 11/36
lt is 100% right
Mrs. Juarez has 3.5 pounds of apples. Her apple canning recipe calls for 7.5 pounds of apples. The equation 3.5+
p = 7.5 can be used to determine the number of pounds of apples, p, Mrs. Juarez needs to use the fullrecipe
without any changes to the ingredient measures. Which number line best represents the solution to the equation?
F
kk
Answer:
2+2 4 and for 2 2 2+4 6 yesirrrrr
Please help me with this
Answer:
3/5
Step-by-step explanation:
I just looked up how to do this since I've never done it before, so if I'm wrong I'm sorry, but from what I found all you have to do is put the opposite(o) over the hypotenuse(h) o/h which would be 9/15 and simplified it would be 3/5, and again if I'm wrong I'm sorry.
I hope this helps, and have a great day!
what is is the ratio of the rise to the run of a line in a coordinate plane
If triangle DEF is congruent to triangle GJH, find each missing angle?
Answer
<F = 105°
<G = 41°
<J = 34°
GJ = 19m
JH =14m
GH = 16m
Step-by-step explanation:
Since triangle DEF is congruent to triangle GJH, the following are true
<D = <G
<E = <J
<F = <H
Given
<H = 105°
Hence <F = 105°
Also <E = 34° =<J
From ∆GHJ
<G+<H+<J = 180°
<G+105+34 = 180°
<G + 139 =180
<G= 180-139
<G = 41°
Get the sides. For the sides, the following are true
DE = GJ = 19m
Also EF =JH = 14m
DF =GH = 16m
which expression has a value of 50
Answer:
b
Step-by-step explanation:
(50 +10) / ( 5+5)
At 20 years of age, you inherit $20,000. You find an investment that returns 8%. It is
compounded daily. How much do you have in your account, to the nearest cent, at 30 years
old?
Answer:
I am pretty sure it is $44,507 but not sure
Step-by-step explanation:
The figure below is a net for the box to the right. What is the surface area of the box?
1.5 feet
lid
1.5 feet
2 feet
2 feet
1.5 feet
bottom
1.5 feet
1.5 feet
2 feet
2 feet
2 feet
4 feet
4 feet
Answer:
24 feet
Step-by-step explanation:
The following expression has been simplified one step at a time. Match each step with the property used to get to that step. (Note: The column that lists the algebraic expressions is already in the correct order.)
1. (3 + 6x) - 5x
2. 3 + (6x - 5x)
3. 3 + (6 - 5) x
4. 3 + (1) x
5. 3 + x
a. multiplicative identity
b. distributive
c. associative
d. subtraction
e. commutative
Mr. Sanders teaches a painting class. He makes the histogram below to summarize the number of paintings each student has completed since the class began. Mr. Sanders says that the histogram shows that 1/3 of the students have finished 12 or more paintings.
Answer:
Step-by-step explanation:
6
2
2/3
Answer:
Mr Sanders likely found that 1/3 of students have completed 12 or more paintings because there are 6 bars on the histogram, and 2 of the bars represent students with 12 or more completed paintings. The actual fraction of the students who have completed 12 or more paintings is 4/19.
Step-by-step explanation:
There are 19 students in Mr Sanders's class. There are 6 bars on that histogram. He most likely thought that since the 2/6 is equal to 1/3, 1/3 of his students completed 12 or more paintings. That is not the case. Two-sixths/one-third isn't even a whole number. The other options are 2/3, 4/19, and 4/17. Two-thirds and four-seventeenths are not whole numbers as well. So that leaves 4/19. Four-nineteenths is actually equal to the whole number 4. We must put 4/19 as our answer because there are no such things as partial students...
