Answers
Use The Pythagorean theorem. It’s a^2+b^2=c^2. Plug in 11 and 60. The equation would be 11^2+60^2=c^2. Simplify to get 121+3600=c^2. Simplify again to get 3721=c^2. Sqaure root each side to get c=61. The answer is the last one, c=61.
I hope this helps!
Related Questions
What would this expression be simplified?
6p x 3 = 3 x 6p
Answers
3p x 6 = 18p
18p = 18p (True)
your equation will just look like: 18p = 18p
hope this helps
-5.8c+4.2-3.1+1.4c combine like terms to create an equivalent expression
Answers
The equivalent expression to the given expression is:
[tex]-4.4c+1.1[/tex]
Step-by-step explanation:We are given an algebraic equation in terms of the variable c as follows:
[tex]-5.8c+4.2-3.1+1.4c[/tex]
Now, we will first combine the like term i.e. the terms with the same variable term and the constant terms are combined altogether i.e. the expression is given as follows:
[tex]-5.8c+4.2-3.1+1.4c=-5.8c+1.4c+4.2-3.1[/tex]
On simplifying this expression we get :
[tex]-5.8c+4.2-3.1+1.4c=-4.4c+1.1[/tex]
Final answer:
To combine like terms in the expression -5.8c + 4.2 - 3.1 + 1.4c, we add the coefficients of the terms with 'c' and separately combine the constant terms. The simplified expression is -4.4c + 1.1.
Explanation:
To combine like terms and create an equivalent expression for -5.8c + 4.2 - 3.1 + 1.4c, we must identify and combine terms that have the same variable to the same power, which in this case are the terms with 'c' and the constant terms without variables.
Combining like terms with 'c':
-5.8c + 1.4c = -4.4c
Combining constant terms:
4.2 - 3.1 = 1.1
Equivalent Expression:
The equivalent expression by combining like terms is -4.4c + 1.1.
Twelve ounces of Brand X costs $1.14. Sixteen ounces of Brand Y costs $1.28. Brand X costs how much more per ounce than Brand Y.
Answers
The difference in cost per ounce is
.. (1.14/12) -(1.28/16) = .095 -.08 = 0.015
Brand X costs 1.5¢ more per ounce than Brand Y.
a net has two equilateral triangles and three rectangles what solid figure could this make
Answers
i hope im right
Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6. d
Answers
Final answer:
The shortest distance from the point (5, 0, -6) to the plane x + y + z = 6 is calculated using the distance of a point to a plane formula, resulting in 7 / √3 units.
Explanation:
To find the shortest distance, d, from the point (5, 0, -6) to the plane x + y + z = 6, we use the formula for the distance of a point to a plane in 3D space. The formula is given by:
d = |Ax1 + By1 + Cz1 + D| / √(A² + B² + C²)
For the plane x + y + z = 6, A = 1, B = 1, C = 1, and D = -6. Substituting the coordinates of the point (x1=5, y1=0, z1=-6) into the formula, we get:
d = |1(5) + 1(0) + 1(-6) - 6| / √(1² + 1² + 1²)
d = |-7| / √3
d = 7 / √3
Therefore, the shortest distance from the point to the plane is 7 / √3 units.
Find the area of a sector with a central angle of 2pi/15 and a radius of 18.8 m
Answers
[Area of a circumference]=pi*r²
for r=18.8 m
Area=pi*18.8²=1109.80 m²
if the area for 2pi radians (full circumference) is --------------> 1109.80 m²
for 2pi/15----------------------------------> X
X=(2pi/15)*1109.80/2pi----------> 73.99
the answer is 73.99 m²
Answer:
74.02 square meters.
Step-by-step explanation:
We are asked to find the area of sector of circle, whose central angle is [tex]\frac{2\pi}{15}[/tex].
We will use area of sector formula to solve our given problem.
[tex]\text{Area of sector}=\frac{\theta}{2\pi}\times \pi r^2[/tex], where, r represents radius of circle.
Upon substituting our given values in above formula, we will get:
[tex]\text{Area of sector}=\frac{\frac{2\pi}{15}}{2\pi}\times \pi (18.8)^2[/tex]
Using fraction rule [tex]\frac{\frac{a}{b}}{c}=\frac{a}{bc}[/tex], we will get:
[tex]\text{Area of sector}=\frac{2\pi}{15\times 2\pi}\times \pi (18.8)^2[/tex]
[tex]\text{Area of sector}=\frac{1}{15}\times \pi \times 353.44[/tex]
[tex]\text{Area of sector}=23.5626666\times \pi[/tex]
[tex]\text{Area of sector}=74.0243004\approx 74.02[/tex]
Therefore, the area of given sector of circle is 74.02 square meters.
Identify if the expressions below are polynomials or not for each of them.
Answers
-Variables in the exponents of the terms.
-Variables in the denominator.
- Negative exponents.
-Fractionals exponents.
-The variables cant be as radicals.
Therefore:
a) It is a polynomial (The variable is under a radical)
b) It is not a polynomial.
c) It is a polynomial.
d) It is not a polynomial. (It has a variable in the denominator).
e) It is a polynomial.
f) It is not a polynomial. (It has a variable in the denominator).
Help needed and explain!!
Answers
1. Since there are 4 triangle so you will need to find the area and the formula is base(height)1/2 but you should probably check the formula just to make sure
2.Then you will find the area of the square which is length times width
3.Add all 5 areas together and the answer should be labeled in squared
hope that helped
Determine the simple interest. the rate is an annual rate. Assume 360 days in a year. p= $460 r= 2.75% t= 3.25 years
Answers
Which equation can be used to solve for b? b = (8)tan(30o) b = b = (8)sin(30o) b =
Answers
tan30 = b/8
b=8tan30
In a right angle triangle the three sides are represented by the letters a, b and c .
a represents the side adjacent with given angle .
b represents the side opposite to the given angle.
c represents the hypotenuse of the triangle .
Check the attached image for clear picture of the right angle triangle with angle 30 degrees .
Using the trigonometric ratio we can write the ratio as
[tex]\frac{b}{a} = tan(30^0)[/tex]
Multiplying both sides by a , we get
[tex]b =a * tan(30^0)[/tex]
since a=8 so
[tex]b = 8* tan(30^0)[/tex]
Use any model you choose to find the quotient. 4 divided by 1/3
Answers
The question is basically doing 4 x 3, which is equivalent to 12 :)
alex originally paid $5200 for her car 1 year ago. the value of her car now is $4,420. what is the percent of decrease in the value of her car?
Answers
hope it helps
please mark as brainliest
graph
[tex]y = - \frac{x}{2} + 1[/tex]
Answers
You only need two points because it's a linear graph. You already know one point, the y intercept, because your equation is in point slope form and b = 1, so 1 is the y intercept.
Kevin needs to convert 620 millimeters per minute to meters per hour. Which conversion factors should he use?
Answers
1 meter=1000 mm; 1 hour=60 min. From another side: 1 mm=0.001 m. and 1 min=1/60 h.
Using this rule:
620 mm/h=0.06*620 m/h=37.2 meters per hour.
answer: 0.06
A candle is shaped like a triangular pyramid. The side lengths of the base are equal. Find the surface area of the candle
Answers
6.8+ 2*8=14.8. so 14.8 is the answer
what do you need to know about two figures to be convinced that the two figures are congruent
Answers
Only thing I can think of...
To establish congruence between figures in geometry, it is necessary to ensure their corresponding sides and angles match. The process involves utilizing the concept of congruent transformations to map one figure onto another without changing its dimensions.
Congruent figures have corresponding points, segments, and angles that are equal. To be convinced that two figures are congruent, you need to know that their corresponding sides and angles match.
Theorem 11 states that if one side and the two adjacent angles of two triangles are congruent, then the triangles are congruent.
In geometry, congruent transformations are used to show that two figures are congruent by mapping one onto the other without altering the size or shape.
Last year the girls basketball had 8 5th graders and 7 6th graders. What was the ratio of 6th graders to 5th graders on the team
Answers
We simply list the number of sixth graders (7 of them), then write a colon, and then write the number of fifth graders (8 of them). After writing all this down, we would reduce the ratio but it cannot be reduced any further. Why not? Because there are no common factors (other than 1) between 7 and 8.
So that's why the answer is 7:8
Answer:
The ratio is 7:8
We simply list the number of sixth graders (7 of them), then write a colon, and then write the number of fifth graders (8 of them). After writing all this down, we would reduce the ratio but it cannot be reduced any further. Why not? Because there are no common factors (other than 1) between 7 and 8.
So that's why the answer is 7:8
What are the solutions of the equation x6 + 6x3 + 5 = 0? Use factoring to solve
B.x=-3 sqrt5 and x= -1 is the correct answer
Answers
The correct answer is gonna be B. Or x = -3√5 and x = -1
A gumball machine has 140 red gumballs if the red gumballs are 25% of the total number of gumballs how many gumballs are in the gumball machine
Answers
140 = 0.25x
Solve for x to find your answer.
Jenny used her credit card to buy a refrigerator with a base cost of $824. The refrigerator consumed an average of $0.09 in electricity every day. Jenny made regular monthly payments for three and a half years, at which point the refrigerator was paid off. Over the eight years that Jenny had the refrigerator, it needed repairs three times, costing $68.75 each time. If Jenny’s credit card has an APR of 10.54%, compounded monthly, and sales tax in Jenny’s area is 7.13%, what was the lifetime cost of Jenny’s refrigerator? Assume that Jenny made no other purchases with her credit card, and round all dollar values to the nearest cent. (Remember that leap year occurs every four years.) a. $1,528.47 b. $1,622.46 c. $1,779.63 d. $1,457.91
Answers
The lifetime cost of Jenny's refrigerator is A. $1,528.47.
What is lifetime cost?Lifetime cost is the total expenses relating to the purchase of a good, like a car, a home, or a refrigerator from the purchase date to the end of the asset's lifespan.
We can calculate the lifetime cost by using an online finance calculator to determine the total payment, including interests, for the asset and then adding up other expenses like repairs and electricity costs.
Data and Calculations:Base cost of refrigerator = $824
Sales tax = 7.13%
Total cost of refrigerator, including sales tax (loan amount) = $882.75 ($824 x 1.0713)
Average daily electricity consumption = $0.09
Total electricity cost = $262.98 ($0.09 x 8 years x 365 days + $0.09 x 2 leap year days)
Payment period for credit purchase = 3 1/2 years
Total repairs cost = $206.25 ($68.75 x 3)
Period of possessing the refrigerator = 8 years
APR = 10.54% compounded monthly
From an online finance calculator:
Monthly Payment = $25.22
Total Payment = $1,059.24 ($25.22 x 12 x 3.5)
Total Interest for 3 1/2 years = $176.49 ($1,059.24 - $882.75)
Lifetime cost of Jenny's refrigerator = Total loan payment + Electricity cost + Repairs cost)
= $1,528.47 ($1,059.24 + $262.98 + $206.25)
Thus, the lifetime cost of Jenny's refrigerator is A. $1,528.47.
Learn more about lifetime cost at https://brainly.com/question/26892161
What is the volume of the right rectangular prism 8L 10W 3
Answers
8 x 10 x 3 = 240 cubic units
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total 21499
. The variable costs will be $12
per book. The publisher will sell the finished product to bookstores at a price of 22.75
per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answers
.. 21,499/10.75 = 1999.9
books
Sales revenue will equal production costs when the publisher produces and sells 2000 books.
Jason buys a pizza for $15.59 . He also buys 6 sodas. Each soda costs the same amount. He spends $23.33 on the pizza and the sodas. Jason finds the cost of each soda by calculating (23.33 − 15.59) ÷ 6 .
Answers
Jason found that each soda costs $1.29 by calculating (23.33 - 15.59) ÷ 6.
Explanation:Jason spends $23.33 on the pizza and the sodas, and the total cost of the pizza is $15.59. Let's find out the total cost of the sodas by subtracting the cost of the pizza from the total amount spent. So, $23.33 - $15.59 = $7.74.
Now, to find the cost of each soda, we need to divide the total cost of the sodas by the number of sodas purchased. In this case, there were 6 sodas, so $7.74 ÷ 6 = $1.29.
Therefore, Jason found that each soda costs $1.29 by calculating (23.33 - 15.59) ÷ 6.
Cost of each soda (x) is approximately $1.29.
Jason buys a pizza for $15.59.
The cost of the pizza is $15.59.
He also buys 6 sodas:
The total cost of the pizza and sodas is $23.33.
Each soda costs the same amount:
Let's denote the cost of each soda as x.
He spends $23.33 on the pizza and the sodas.
The total cost can be expressed as the sum of the cost of the pizza and the cost of the sodas:
15.59+6x=23.33.
Now, Jason finds the cost of each soda by calculating (23.33 − 15.59) ÷ 6.
This expression represents the cost of each soda.
Let's calculate it:
[tex]\frac{7.74}{6} \approx 1.29[/tex]
So, Jason finds that each soda costs approximately $1.29.
Tom wanted to compare what proceeds he would receive with a simple interest note versus a simple discount note. Both had the same terms: $18,235 at 10% for 2 years. Use ordinary interest as needed.
a. Calculate the simple interest note proceeds.
b. Calculate the simple discount note proceeds.
Answers
b) Simple discount note proceeds are the face value less the inerest due,
.. $18,235(1 -0.10*2) = $14,588.
Decide if the measurements determine no triangle, a unique triangle, or more than one triangle.
ITEMBANK:
3 cm, 4 cm, 11 cm
3 cm, 5 cm, 15 cm
30°, 40°, 110°
6 cm, 7 cm, 12 cm
60°, 60°, 60°
8 cm, 90°, 45 °
Options: No triangle, Unique triangle, or More than one triangle
Answers
2) No triangle
3) More than 1 triangle
4) 1 triangle
5) More than 1 triangle
6) Either 1 or more than 1 triangle
Explanation:
1) The sum of the two smaller sides is not greater than the third side, so these will not form a triangle.
2) The sum of the two smaller sides is not greater than the third side, so these will not form a triangle.
3) The angles add up to 180, so this will make more than one triangle (there is no information given about the sides, so the triangles would be similar but not necessarily congruent)
4) The sum of the two smaller sides is greater than the third side, so one triangle is formed
5) The angles add up to 180, so this will make more than one triangle (there is no information given about the sides, so the triangles would be similar but not necessarily congruent)
6) Depending on whether the side is between the two given angles, either 1 triangle or more than 1 triangle could be formed.
Answer:
1.)No Triangle
2.)No Triangle
3.)More Than One Triangle
4.)Unique Triangle
5.)More Than One Triangle
6.)Unique Triangle
This a fraction problem, can u solve it
3 1/2 - 2 5/9
Answers
or 0.39 in decimal
LCM of 9 and 2 is 18
Then, you change it to an improper question
3 1/2 = 7/2 = 63/18
2 5/9 = 23/9 = 46/18
63/18 - 46/18 = 17/18
Hope this helps! ;)
which of the following values are in the range of the function graphed below?
Answers
(-∞,-2] ∪ [2,∞)
So all the values that are in this range must be selected from the given options. Therefore, the correct answer is:
Option A: 2
Option C: -4
Option E: -2
Answer:
Option A , B , C And E are correct.
Step-by-step explanation:
We are given with a graph of a function.
We need to find numbers or values which belong to range of the function.
From graph of the function,
Value on x-axis or Horizontal line gives us the Domain of the Function .i.e., ( -∞ , -2 ] and [ 2 , ∞ ) = ( -∞ , -2 ] ∪ [ 2 , ∞ )
Value on y-axis or Vertical line gives us the Range of the Function .i.e.,
( -∞ , -1 ] and [ 1 , ∞ ) = ( -∞ , -1 ] ∪ [ 1 , ∞ )
So, From given values 2 , 1 -4 , -2 belong to range of the function.
Therefore, Option A , B , C And E are correct.
Find the equation of the line having a slope of 4 and a y-intercept of (0,3)
Answers
[tex]\bf y=\stackrel{slope}{4}x\stackrel{y-intercept}{+3}\qquad \impliedby \textit{slope-intercept form}[/tex]
reason why that form is called like so.
a seed company planted a floral mosaic of a national flags.the perimeter of the flag is 560 feet determine the flags length and width if the length is 40 feet greater that width.write three situation to which you could apply the resulting system of equations
Answers
x------------> the flags length
y------------> the flags width
P----------> perimeter
we know that
p=2x+2y------> 2x+2y=560----------> equation 1
and
x=y+40-------------> equation 2
substitute 2 in 1
2*(y+40)+2y=560-----------> 2y+80+2y=560--------> 4y=480------> y=120
x=y+40-------> 120+40----------> x=160
the answer is
the flags length is 160 ft
the flags width is 120 ft
Part 2) Write three situation to which you could apply the resulting system of equations
1) It can be used when considering the relationship between the price of a product and the quantities of the product that people want to buy at a certain price.
2) It can be used to determine the speed, distance and time duration when traveling by car, and you want to know the values of the unknown variables in your trips.
3) It can be used to determine the most convenient loan option to buy a car or a house when considering the duration of the loan.Which of the following illustrates the product rule for Logarithmic equations?
Answers
We are given Logarithmic equations.
We need to find the equation which illustrates the product rule.
We know, the product rule of Logarithms is:
[tex]log_b (mn) = log_b(m) + log_b(n)[/tex].
According to the product rule of Logarithms, we need to separate logs by plus sign.
In the given options only 4th option logs are separated by plus sign.
[tex]log_2(4x) = log_2\ 4+log_2\ x[/tex].
Therefore, correct option is 4th option.Answer:
Its D
Step-by-step explanation:
Took test