Step-by-step explanation:
We have AB = 7, Angle ABC = 70°
and Angle ACB = 90°.
Angle BAC = 180° - 70° - 90° = 20°
(Sum of angles in a triangle = 180°)
Using Trignometry,
AC = 7sin70° = 6.58.
BC = 7cos70° = 2.39.
Suppose M(3-1) is the midpoint and B has coordinates (1,4). What are the coordinates of A?
Describe the possible lengths of the third side of the triangle if the lengths of the other two sides are 11 feet and 18 feet.
Answer: [tex]6ft < x < 30ft[/tex]
6ft is less then x and x is less then 30ft
Step-by-step explanation:
The possible length of the third side is 7 < x < 29.
What is a Triangle?Polygon which has three sides and three vertices are called a triangle.
The sum of all the angles of the triangle is 180°.
Given:
The lengths of the other two sides of a triangle are 11 feet and 18 feet.
Let the third side's length is x feet.
The sum of the two sides of the triangle is always greater than the length of the third side of the triangle.
That means,
18 + 11 > x.
And 11 + x > 18.
So, we have a possible choice,
11 + 18 < x
Simplifying,
29 < x.
Arranging in better terms,
x > 29.
Another possible choice,
18 -11 < x
7 < x
Combining both inequalities,
we get,
7 < x < 29.
Therefore, 7 < x < 29.
To learn more about the triangle;
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2.
Using long division method, divide the following polynomials by a binomial and
check your answer.
4p3 - 4p2 + 6p - 5/2by 2p - 1
Answer:
2p^2-p + 5/2
Step-by-step explanation:
Here, we want to use long division method
Please check attachment for the long division process
According to the long division, the answer is
2p^2-p + 5/2
To check the answer, we multiply the binomial by the result of the division
That will be;
(2p-1)(2p^2-p + 5/2)
= 4p^3-2p^2+5p-2p^2+p-5/2
= 4p^3-2p^2-2p^2+5p+p-5/2
= 4p^3-4p^2+ 6p - 5/2
we then conclude that our answer is correct
Greg needs to buy plastic forks. Brand A has a box of 25 forks for $1.97. Brand B has a box of 48 forks for $2.98
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
To find the price per spoon of brand A, divide the cost by the amount of spoons:
1.99 / 25 = 0.0796
Repeat this process for brand B:
3.89 / 42 = 0.0926
Brand A, at $0.08 a unit, is the better buy of brands A and B.
Hope this helps.
Which equation represents the vertical line passing through (7,-3)?
А.X=-3
B. y=-3
C. x=7
D. y=7
Jordan made a wooden square box. All sides of the wooden are 6 cm. If he wants to increase the length of all sides by 1.6 cm, what will be the perimeter and area of the new box
Answer:
Perimeter: 30.4 cm
Area:57.76
Step-by-step explanation:
6cm+1.6cm=7.6cm
Perimeter:7.6x4
Area:7.6x7.6
i am in middle school
Answer:
1.25 per pound
Step-by-step explanation:
help pleaseeeeeeeeeeeeee
Luke bought a computer for $525 and two computer games for $34.99 each. The sales tax rate was 6.25%. How much sales tax was Luke charged?
Luke charged an amount of $37.18 in sales tax which is determined by the evaluation of 6.25% of 595.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Luke bought a computer for $525 and two computer games for $34.99 each. The sales tax rate was 6.25%.
⇒ 525 + 2×34.99 = 595
We have to determine the evaluation of 6.25% of 595.
⇒ 6.25% of 595
6.25% is expressed as 6.25/100 in fractional form
⇒ (6.25/100)(595)
6.25/100 is expressed as 0.0625 in decimal form
⇒ (0.0625 )(595)
Apply the multiplication operation, and we get
⇒ 37.18
Therefore, Luke charged an amount of $37.18 in sales tax.
Learn more about the percentages here:
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A perfect score in the game is 300 points You get a perfect score if you knock down 120 pins
Find what percent 120 is of 300 then express the percent oa a decimal
What is the sum of (-10)+(-7)=
Answer:
-17
Step-by-step explanation:
Answer:
-17
Step-by-step explanation:
[tex](-10)+(-7)= - 10 - 7 = - 17[/tex]
I NEED THE ANSWER ASAP!!!!
Answer:
H.
Step-by-step explanation: Best one out of the rest, I'm 75% sure it may be right just by memory.
Which point represents 2?
Answer:
The answer is simple
Step-by-step explanation:
The answer is B, on a line graph the order goes from 0, 1, 2, 3 and so on without this order you can't use negative terms without a equation
what is 2 + 2-(-3 x 10
pic a pic that will be best as my pfp
Answer:
Step-by-step explanation:
Combine Like Terms:
=2+2+3x^10
=(3x^10)+(2+2)
=3x^10+4
Answer:
34
Step-by-step explanation:
2+2+30 Simplify
34 add the numbers
Hope that helps
Find the coordinates of the vertex of the following parabola algebraically.
Write your answer as an (x, y) point.
y = x2
Answer:
I have no idea what it is sorry
help mee plzz will give brainliest
Answer:
Answer: X=12
Explanation: 180-72= 108. 108/9 = 12
Step-by-step explanation:
A line passes through the points (6, 8) and (5,5). What is its equation in slope-intercept
form?
Answer:
y = 3x -10
Step-by-step explanation:
Use the method [tex]\frac{rise}{run}[/tex].
I took a screenshot of the graph below, as an example of the rise over run method.
3 ÷ 1 = 3
To find the y intercept, count down on the graph until you reach the point where the line crosses.
In this case, the line crossed at -10 on the y-axis.
(Look at the second image)
So plug the numbers into the equation, and then you get y = 3x -10.
Rewrite in simplest terms: 4(-6t – 3) - 10t
Step-by-step explanation:
4(-6t-3)-10t
-24t-12-10t
-12-24t-10t
-12-34t
The area of a circle will _____ be larger than the area of a polygon circumscribed about the circle.
always
often
sometimes
never
Sara went shopping. She bought six oranges at $0.25 each, two apples at $0.40 each, three plums at $0.18 each. She gave the cashier $5.00. How much change will Sara receive from the $5.00?
Answer:
$2.16
Step-by-step explanation:
Amount of change received
= $[5.00-0.25(6)-0.40(2)-0.18(3)]
= $(5.00-1.50-0.80-0.54)
= $2.16
Pls help as soon as possible
Answer: 161.6 seconds
Step-by-step explanation:
1. 8.216 + 3.652 = 11.868 (add together, this is for one car)
2. 11.868 x 42 = 161.6
5
X
2
4
6
8
f(x)
7
11
15
19
Which of the following functions is represented
by the table above?
a. f(x) = 4x + 7
b. f(x) = 4x + 3
c. f(x) = 2x + 7
d. f(x) = 2x + 3
Answer:
d
Step-by-step explanation:
just substitute the numbers and if both sides equals, then its correct
PLEASE HELP
ill raise points if needed
A geometry student named Cornell claims that the two triangles in the diagram below are similar to one another. He asserts that the LMN is similar to STU because the sides on the bigger triangle are spaced the same as the sides of the smaller triangle.
Explain why Cornell is mistaken in his conclusions about LMN and STU. In writing your response, be sure to explain the concept of proportionality. Also be sure to include important math vocabulary such as
similarity, corresponding sides, and ratios.
What is the common difference in the arithmetic sequence -3, -1, 1, 3, ...?
Answer:
2
Step-by-step explanation:
The common difference in an arithmetic sequence is the difference between any two terms
So, you could start by doing -3 + d = -1
-3 + d = -1
-3 + d +3 = -1 +3
d = 3 -1
d = 2
Now test it with other terms
-1 + d = 1
Substitute
-1 +2 = 1
2 -1 = 1
1 = 1
It works!!!
If you want you can try it with 1 and 3
1 + d = 3
1 + 2 = 3
3 = 3
I hope this helps!!!!
40 is a rational number.
Answer: if its a true or false question then yes 40 is a rational number
Step-by-step explanation:
Answer:
40 is a rational number
Step-by-step explanation:
It can be expressed as a quotient of two factors
40/1
I will give brainliest!!!!
Answer: A, 3 B, 2 C, 6
Step-by-step explanation:
what is the area of the parallelogram shown?
please help!!!!
Answer
24 (x) 13= 312cm
Step-by-step explanation:
area of a parallelogram= area of a rectangle/ sqaure=
24 (x) 13= 312cm
(the 18 inches it there to confuse you some times)
1.) You decide to order strands of LED lights for a party. Amazon charges
a flat fee of $7.00 to ship this item, whether you order two strands or
fifty strands. If each strand costs $4.50, and your total came to $56.50,
how many strands did you order?
Quick answer please
Answer:
11
Step-by-step explanation:
56.50-7=49.50
49.50divided by 4.50=11
Triangle JKL is formed by plotting three points, as shown below. What is the length of side
JK?
Answer:
5
Step-by-step explanation:
9-4=5
given
[tex] log_{2}(x) = \frac{3}{ log_{xy}(2) } [/tex]
express y in terms of x
Answer:
[tex]\displaystyle y = x^{-\frac{2}{3}}[/tex]
Step-by-step explanation:
Logarithms
Some properties of logarithms will be useful to solve this problem:
1. [tex]\log(pq)=\log p+\log q[/tex]
2. [tex]\displaystyle \log_pq=\frac{1}{\log_qp}[/tex]
3. [tex]\displaystyle \log p^q=q\log p[/tex]
We are given the equation:
[tex]\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }[/tex]
Applying the second property:
[tex]\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}[/tex]
Substituting:
[tex]\displaystyle \log_{2}(x) = 3\log_{2}(xy)[/tex]
Applying the first property:
[tex]\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))[/tex]
Operating:
[tex]\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)[/tex]
Rearranging:
[tex]\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)[/tex]
Simplifying:
[tex]\displaystyle -2\log_{2}(x) =3\log_{2}(y)[/tex]
Dividing by 3:
[tex]\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}[/tex]
Applying the third property:
[tex]\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)[/tex]
Applying inverse logs:
[tex]\boxed{y = x^{-\frac{2}{3}}}[/tex]