Answers
Using this information, we can make and solve an equation:
8y - 4 = 60° (we know that it is equal to 60°, since it is an equilateral triangle)8y = 64° (we added both sides by 4 to get the y's alone on one side)y = 8° (we divide both sides by 8 to find out what just y is)-------------------------------------------------------------------------------------------------------------Answer:
So y is equal to 8°
Related Questions
The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $11,000.00, how much was the car worth when she bought it?
Answers
90% $11000
100% $x
Now we cross multiply numbers and solve it for x:
90*x = 100 * 11000
90x = 1 100 000
x= 1 100 000 / 90
x= $12 222,22
When Maggie bought a car theprice was $12 222,22
9/20 as a percent
320% as a fraction
2 3/8 as a decimal and percent
.1% as a decimal and fraction
1.2 as a percent and fraction
5 1/3 as a percent and decimal
Answers
Answer:
1) 45%
2) [tex]\frac{16}{5}[/tex]
3) 2.335
237.5%
4) 0.0001
[tex]\frac{1}{1000}[/tex]
5) 120%
[tex]\frac{6}{5}[/tex]
6) 533.3%
5.333
Step-by-step explanation:
1) Divide the numerator by the denominator and multiply by 100, then:
[tex]\frac{9}{20}=0.45*100=45\%[/tex]
2) Write 320 has the numerator and 100 has the denominator, then reduce the fraction:
[tex]\frac{320}{100}=\frac{32}{10}=\frac{16}{5}[/tex]
3) As a decimal:
Divide the numerator by the denominator and add it to the integer part:
[tex]2+0.375=2.375[/tex]
As a percent:
Multiply the decimal number obtained above by 100:
[tex]2.375*100=237.5\%[/tex]
4) As a decimal:
Divide it by 100:
[tex]\frac{0.1}{100}=0.0001[/tex]
As a fraction:
As you can see, the decimal point were moved three spaces to the left. Therefore, the integer 1 is divided by 1000. Write 1 as the numerator and 1000 has the denominator:
[tex]\frac{1}{1000}[/tex]
5) As a percent:
Multiply 1.2 by 100, then:
[tex]1.2*100=120\%[/tex]
As a fraction:
To make 1.2 an integer you must multiply by 10, therefore, 12 will be the numerator and 10 the denominator:
[tex]\frac{12}{10}[/tex]
Reduce it:
[tex]\frac{6}{5}[/tex]
6) As a decimal:
Divide the numerator by the denominator and add it to the integer part:
[tex]5+0.33=5.333[/tex]
Multiply the decimal number obtained above by 100:
[tex]5.33*100=533.3\%[/tex]
Answer:
9/20 as a percent- 45%
320% as a fraction- 16/5
2 3/8 as a decimal- 2.38
2 3/8 as a percent- 237.5%
.1% as a decimal- 0.001
.1% as a fraction- 1/100
1.2 as a percent- 120%
1.2 as a fraction- 6/5
5 1/3 as a percent- 533.3%
5 1/3 as a decimal- 5.33
Can you please help me out ?
Answers
sine (x) = a / h
Where,
a: side of the triangle.
h: hypotenuse.
Substituting:
sine (x) = 3/6
x = Arcosine (1/2)
x = 30 degrees.
The other angle is:
180-30-90 = 60 degrees
Answer:
W = 30
V = 60
U = 90
option 4
Which of the following best describes the algebraic expression 5(x+2)-3? A. Three less than five times a number plus two B. Three less than five times the quantity of a number plus two
Answers
b. three less again -3 than five times the quantity of a number plus two -3*5(x+2)
which means B best describes our situation
Answer:
Option B is correct.
Three less than five times of a quantity of a number plus two.
Step-by-step explanation:
Given the expression: [tex]5(x+2)-3[/tex]
To describe the given algebraic expression.
Here, x be the number.
x+ 2 means "a number plus 2"
5(x+2) means "five times the quantity of a number plus two".
and
5(x+2)-3 means "Three less than five times of a quantity of a number plus two".
Therefore, the following which best describe the algebraic expression [tex]5(x+2)-3[/tex] is, Three less than five times of a quantity of a number plus two.
factor completely y^2-xy-56x^2
Answers
So [tex] y^{2} - xy - 56x^{2} [/tex] factored out is (y+7x)(y-8x)
We can check this using FOIL
F = (y)(y) = [tex] y^{2} [/tex]
O = (y)(-8x) = -8xy
I = (7x)(y) = 7xy
L = (7x)(-8x) = [tex] -56x^{2} [/tex]
[tex] y^{2} - 8xy + 7xy - 56x^{2} [/tex] Combine like terms
[tex] y^{2} - xy - 56x^{2} [/tex]
Answer: I got (y-8x)(y-7x) by factoring out the factors of 56, that have a sum of -1.
8 and 7 are factors of 56 when you multiply them and to get a sum of -1, 8 should change to negative. 7 + -8 = -1
at the local baseball diamond,the distance from home base to second base is 100 feet. Determine the distance from home base to first base.
Answers
Answer:
70.7 ft
Step-by-step explanation:
The triangle formed by home plate, first base, and second base is an isosceles right triangle with hypotenuse 100 ft. Then the side length (base-line distance between bases) is (100 ft)/√2 ≈ 70.7 ft.
___
For an isosceles right triangle with side lengths 1, the hypotenuse can be found from the Pythagorean theorem to be ...
hypotenuse = √(side² + side²) = √(1²+1²) = √2
Then the diamond distances satisfy the proportion ...
hypotenuse/side = 100 ft/(base distance) = √2/1
or ...
base distance = (100 ft)/√2 ≈ 70.71068 ft
Suppose that g(x) = f(x – 8). Which statement best compares the graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) shifted 8 units to the left.
B. The graph of g(x) is the graph of f(x) shifted 8 units down.
C. The graph of g(x) is the graph of f(x) shifted 8 units up.
D. The graph of g(x) is the graph of f(x) shifted 8 units to the right.
Answers
The graph of g(x) is the graph of f(x) shifted 8 units to the right.
Option D is correct.
What is shifting of a function?A shift is a rigid translation in that it does not change the shape or size of the graph of the function. All that a shift will do is change the location of the graph. A vertical shift adds/subtracts a constant to/from every y-coordinate while leaving the x-coordinate unchanged.
According to the question
g(x) = f(x – 8)
If the function is shifted to the left it is going to plus(+).
If the function is shifted to the right it is going to minus(-).
Hence, The graph of g(x) is the graph of f(x) shifted 8 units to the right.
Option D is correct.
Find out more information about shift here
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The legs of a right triangle are 12 cm and 16 cm. What is the length of the hypotenuse? 15 cm 17 cm 20 cm 28 cm
Answers
To solve this, use the Pythagorean Theorem, a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse of the right triangle.
**The Pythagorean Theorem only works for right triangles.**
Substitute in the values.
a² + b² = c²
12² + 16² = c²
Solve for c, the hypotenuse.
12² + 16² = c²
144 + 256 = c²
400 = c²
c = √400
c = 20
Answer:
20cm
Step-by-step explanation:
the figure shown is made up of a square and a triangle. Express the area of the figure in terms of y.
Answers
2. The area of the square (A1) is:
A1=(y)(y)
A1=y²
3. The area of the triangle (A2) is:
A2=(y)(4)/2
4. When you simplify it, you obtain:
A2=2y
5. Finally, you obtain the area of the figure (A) when you sum the area of the square and the area of the triangle:
A=A1+A2
A=y²+2y
A protractor is used to measure an angle. Which of the following could be the measure of the angle if we know it is an acute angle?
125°
75°
0°
it can't be determined
Answers
Final answer:
To find an acute angle using a protractor, choose the angle less than 90°. The acute angle could be 75°.
Explanation:
To determine an acute angle using a protractor, we look for an angle that is less than 90 degrees, as acute angles are those that measure less than 90 degrees.
75° could be the measure of the angle as it falls within the range of acute angles.
Hence, in this case, the angle that could be the measure of the acute angle is 75°.
What is the order of 5x10^4 , 7x10^-5 , 3x10^-9 , 8x10^4 from least to greatest?
Answers
5x10^4=50000
7x10^-5=0.00007
3x10^-9=0.000000003
8x10^4=80000
Therefore, the order of 5x10^4, 7x10^-5, 3x10^-9, 8x10^4 from least to greatest is:
3x10^-9, 7x10^-5, 5x10^4, 8x10^4
The order from least to greatest of the given numbers 5x10^4, 7x10^-5, 3x10^-9, 8x10^4 is 3x10^-9, 7x10^-5, 5x10^4, and finally 8x10^4. This is determined by comparing the exponents and coefficients of the scientific notation.
To find the order of 5x10^4, 7x10^-5, 3x10^-9, and 8x10^4 from least to greatest, we have to compare their exponents as they determine the size of the numbers. The exponent indicates how many times the number 10 is used in a multiplication.
Here are these numbers in order from the smallest to the largest:
3x10^-97x10^-55x10^48x10^4The smaller the exponent (more negative), the smaller the number. The first is the smallest because it has the most negative exponent (-9), and the last is the largest with the exponent of 4. When exponents are the same, we then compare the coefficients (the numbers before the 'x10'), in this case, 5 is less than 8, so 5x10^4 is smaller than 8x10^4.
which of the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola is xy=4
Answers
according to the equation it is a hyperbola.
The graph of this function is attached.
Can someone verify this for me please!
Answers
A zoo has two male lions 1/6 of the line on male lions how many lions are there at the zoo
Answers
6x2=12
12 lions in total
you lease a car valued at 23,495 for 3 years at $429.95/month with a $500 down payment. If interest is 30% of the payment, how much interest is paid over the 3 years?
Answers
Solution:
Present Value of car= $ 23,495
Down Payment = $ 500
Total Amount paid monthly for 3 years that is 36 months, if you pay $ 429.95 per month=$ 15478.20
Total amount paid for the car as an agreement which includes Down payment of $ 500 as well as monthly Payment of $ 429.95 for 36 months= $ 15478.20+$ 500=$ 15978.20
As, given Interest is 30% of the payment.
So, total interest = 30% of $ 15978
[tex]=\frac{30}{100}\times 15978.20[/tex]
= $ 4793.40
But if you will calculate interest on payment of $ 429.95 at the rate of 30%, it gives
[tex]=\frac{30}{100}\times 429.95[/tex]
= $128.985
So, total interest for 3 years= $128.985 ×36=$ 4643.46
Also, if you will calculate interest on payment of ($500+$429.95=$929.95) at the rate of 30%
[tex]=\frac{30}{100}\times 929.95[/tex]
=$278.985
Total interest for 3 years= $278.985 ×36=$10,043.46
Write three equations whose graphs are the same line as the equation 3x+2y=7.
Answers
1. rule: the equation will be the same if the both its parts are multiplied by one number ('0' is not included!).
2. using the rule, described upon:
-3x-2y=-7 (*(-1));
6x+4y=14 (*2);
-6x-4y=-14 (*(-2)).
Note, that not all the ways are described.
an appliance store sells lamps at $ 95.00 for two.a department store sells similar lamps at five for 250.00 which store sells at a better rate? how much is better?
Answers
Desiree made 100 cookies this week, she baked 4 more than three times the total she made last week. How many cookies did she bake last week?
Answers
3x + 4 = 100 x = 32 cookies
Desiree made 100 cookies this week. She baked 4 more than three times the total she made last week. How many cookies did she bake last week.
3x + 4 = 100 x = 32 cookies
A graphic designer is planning the layout for a magazine advertisement of three pictures, shown below. The ratio of the sum of the widths of the three pictures to the total width of the advertisement is 4:5. If each picture is 4 inches wide, what is the length of each of the four empty spaces between the pictures (t)?
Answers
Let S be the sum of the width of the pictures and T be the total width of the advertisement. Our proportion would be
[tex]\frac{S}{T}=\frac{4}{5}[/tex]
Since there are 3 pictures and each is 4 inches long, S=3*4=12:
[tex]\frac{12}{T}=\frac{4}{5}[/tex]
Cross multiplying, we have:
12*5=4*T
60=4T
Divide both sides by 4:
60/4 = 4T/4
15=T
The total width of the advertisement is 15 inches. Subtract the known width of the pictures from this, 12, and we have 3 inches left over for the total of the 4 spaces. Thus our answer is 3/4.
How many possible outcomes are there from choosing an outfit from a blue shirt, a red shirt, black shorts, tan shorts, a pair of sneakers, and a pair of sandals?
Answers
2 shorts
2 shoes
2 x 2 x 2 = 8 different ways
What is simplified form of the expression -(4)^-2
Answers
-1/16
Explanation:
First, when we have a negative power in the numerator, the number with this power will be moved to the denominator and the power is converted to a positive one.
In other words: a^-x = 1 / a^x
In the question, we have:
-(4)^-2
This can be written as:
- 1 / 4^2 = -1 / (4*4) = -1/16
Hope this helps :)
By properties of exponents we have:
- (1 / (4) ^ 2)
Rewriting the expression:
- (1 / (4 * 4))
- (1 / (16))
Answer:
simplified form of the expression - (4) ^ - 2 is:
-1/16
Alex lives eight tenth of a mile from Sarah. What is eight tenths written as a decimal
Answers
Eight tenths = 8/10
To convert a fraction to a decimal, we must divide the numerator by the denominator.
8 ÷ 10 = 0.8
Eight tenths is 0.8 as a decimal.
I hope this helps
which of the following functions gives the length of the base edge
Answers
a = sqrt(3v/8) which is the first choice
Explanation:
The volume of the right square pyramid is calculated using the following rule:
V = (1/3)*h*a^2 where:
V is the volume
a is the length of the base
h is the height
We are given that the height = 8 in and volume = v, this means that:
v = (1/3)*8*a^2 = (8/3)*a^2
Now, we will solve this equation for a as follows:
v = (8/3)*a^2
3v = 8a^2
3v/8 = a^2
a = sqrt(3v/8) which is the first choice
Hope this helps :)
There is an ice cream and candy shop next-door that is the same size as your bakery. How many 30th of the space does it take up
Answers
Samatha has 24 cards. Chelsea saw 15 more cards than Samatha. How many cards does Chelsea have?
Answers
24 + 15 = 39
Chelsea has 39 cards
In the month of January, a certain restaurant claimed it sold 9,000 burgers and expects sales to grow at a rate of 4.8% per month over the next year. Which formula will determine the number of burgers the restaurant expects to sell this year?
Answers
Answer:
[tex]y=9000(1.048)^x[/tex]
Step-by-step explanation:
This will be an exponential growth problem. This is because the amount of burgers is expected to change at the same rate every month.
These equations are of the form
[tex]y=a(1+r)^x[/tex],
where a is the original amount, r is the growth rate and x is the amount of time.
In this problem, the original amount, a, is 9000.
The rate of growth is 4.8%; 4.8% = 4.8/1000 = 0.048
This gives us
[tex]y=9000(1+0.048)^x\\\\y=9000(1.048)^x[/tex]
Answer:
The answer is 9000(1.048)^t {limit from n = 1 to n = 12}.
Step-by-step explanation:
A large bottle of Dragon Breath mouthwash costs $5.00 before tax and $5.30 after tax. What is the percentage the tax?
Answers
the percentage tax is0. 30/500*100=6%
What fraction of the circle does the shaded angle represent??
Answers
The fraction of the circle that is shaded is 1/4
non shaded ( not shaded) is 3/4
altogether it would be 4/4 or one whole
Recently in a large random sample of teens a proportion of 0.76 teens said they send text messages to friends. the margin of error for a 98% confidence interval was 0.030. (a) what is the sample statistic for the proportion of teens who send text messages to friends
Answers
p = 0.76
Margin of error at 98% confidence = E = 0.030
The point estimate for proportion of of teens who send the text message = p = 0.76
The interval estimate for the proportion of teens who send the text message will be in the range:
( p - E, p + E)
p - E = 0.76 - 0.030 = 0.730
p + E = 0.76 + 0.030 = 0.790
Thus with 98% confidence we can say, the population proportion of teens who send the text message is between 0.730 and 0.790.
The sample statistic for the proportion of teens who send text messages to friends is 0.76 or 76%. This result was obtained with a 98% confidence interval and a margin of error of 0.03.
Explanation:The sample statistic in this scenario is the proportion of teens who said they send text messages to friends. In statistics, a sample proportion (also known as a sample percentage) is a way to express the count of observations in a category as a ratio or a fraction of the total sample size.
In your case, the sample statistic is 0.76, meaning that 76% of the teens in your sample said they send text messages to friends. This result was accompanied by a margin of error of 0.030 for your 98% confidence interval.
A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.
The margin of error represents the range in which we are confident that the true population proportion lies given our sample statistic. With a confidence level of 98%, we are sure that if we repeated our sample many times, 98% of those samples would produce a proportion between 76%- 3% and 76% + 3%.
Learn more about Sample Proportion here:https://brainly.com/question/32638029
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If a stadium has 15,000 seats sold at $10.00, $12.50, and $15.00 equally distributed in three sections, how much can be made if the stadium sells out?
Answers
Answer:
$187,500
Step-by-step explanation:
There must be 15,000/3 = 5,000 seats in each section. Then the total revenue can be ...
5000·$10.00 + 5000·12.50 + 5000·15.00 = 5000·($10 + 12.50 +15.00)
= 5000·$37.50 = $187,500
Stadium revenue can be $187,500 if all seats are sold.
The total earnings from selling out the stadium with tickets priced at $10.00, $12.50, and $15.00, equally distributed, would amount to $637,500.
The total earnings from selling out the stadium would be $15 x 15,000 = $225,000 for tickets priced at $10.00.
For tickets priced at $12.50, the earnings would be $12.50 x 15,000 = $187,500.
Lastly, for tickets priced at $15.00, the earnings would be $15 x 15,000 = $225,000.
To find the total earnings, add the earnings from each section: $225,000 + $187,500 + $225,000 = $637,500.