Answers
Answer:
x^2 + 6^2 = 10^2
x^2 + 36 = 100
x^2 = 64
x = 8
Answer:
x=8
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to find the leg of the triangle
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse.
We know one of the legs is 6 and the hypotenuse is 10
6^2 +x^2 = 10^2
36+ x^2 = 100
Subtract 36 from each side
36-36 +x^2 = 100-36
x^2 = 64
Take the square root of each side
sqrt(x^2) = sqrt(64)
x = 8
Related Questions
What is the area of a parallelogram if its length is x+4 and its height is x+3
Answers
[tex]\sf A=bh[/tex]
Where 'b' is the base and 'h' is the height. Plug in what we know:
[tex]\sf A=(x+4)(x+3)[/tex]
Distribute(multiply everything in the first parenthesis to everything in the second parenthesis):
[tex]\sf x\times x=x^2[/tex]
[tex]\sf x\times 3=3x[/tex]
[tex]\sf 4\times x=4x[/tex]
[tex]\sf 4\times 3=12[/tex]
So we have:
[tex]\sf A=x^2+3x+4x+12[/tex]
Combine like terms(3x + 4x = 7x):
[tex]\sf A=\boxed{\sf x^2+7x+12}[/tex]
To find the area of a parallelogram with base length x+4 and height x+3, multiply these two values to yield an area represented by the quadratic equation x²+7x+12.
Explanation:The area of a parallelogram is calculated by multiplying the base length by the height of the parallelogram. For a parallelogram with a base length of x+4 and a height of x+3, the area can be found by the formula Base x Height = Area of parallelogram.
The calculations follow these steps:
Identify the base (x+4) and the height (x+3).Multiply the base and height: (x+4)(x+3).Continuing with algebra, expand the expression: x²+3x+4x+12.Combine like terms to get the final area: x²+7x+12.Therefore, the area of the parallelogram is represented by the equation x²+7x+12, given the dimensions provided.
what equation has a solution of 4/5 for n?
Answers
ellen flipped a coin 80 times. the coin landed heads up 44 times and tails up 36 times. what is the theoretical probability of labding tails up
Answers
Answer:
50%
Step-by-step explanation:
Help please!
John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the next 10 months. The extra cost paid by taking this deal is equivalent to what actual yearly rate of interest? A. 33% B. 36% C. 3.6% D. 63%
Answers
Explanation:
1) Purchase price: $4500
2) Payments:
down: $1500
monthly: $350 * 10 = 3500
Total payments = $1500 + $3500 = $5000
3) Difference: $5000 - $3500 = $1500 = extra cost
4) Percent extra cost = (difference / purchase price) * 100 = ($1500/$4500)*100 = 33.3%
Answer-
The extra cost paid by taking this deal is equivalent to actual yearly rate of interest 36%
Solution-
Price of truck = $4500
John made a down payment of $1500, so the present value of annuity will be,
[tex]4500-1500=\$3000[/tex]
We know that,
[tex]\text{PV of annuity}=P[\frac{1-(1+r)^{-n}}{r}][/tex]
[tex]PV\ of\ annuity=3000,\\\\P=350,\\\\r = x%\ monthly\\\\n=10\ months[/tex]
Putting the values,
[tex]\Rightarrow 3000=350[\dfrac{1-(1+x)^{-10}}{x}][/tex]
[tex]\Rightarrow \dfrac{3000}{350}=[\dfrac{1-(1+x)^{-10}}{x}][/tex]
[tex]\Rightarrow \dfrac{60}{7}x=1-(1+x)^{-10}[/tex]
[tex]\Rightarrow (1+x)^{-10}+\frac{60}{7}x-1=0[/tex]
Using calculator we get,
[tex]\Rightarrow x=0.0291=2.91\% \approx 3\%[/tex]
Therefore, annual interest will be,
[tex]=12\times x=12 \times 3=36\%[/tex]
Find the volume of the figure. A) 33 in3 B) 150 in3 C) 233 in3 D) 425 in3
Answers
bottom part: 5 * 5 *5 = 125
total: 108 +125 = 233 in^3
Answer is C
The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity is called volume. The volume of the given figure is 233 in³.
What is Volume?The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity is called volume.
The given figure can be divided into two parts. The first figure 'A' is a cuboid, while the second figure 'B' is a cube. As shown below.
Now, the volume of the figure can be calculated by adding the volume of the cuboid A and the volume of the cube B.
The volume of Cuboid A can be written as,
[tex]\rm \text{Volume of cuboid} = Length \times Breadth \times Height[/tex]
[tex]= 12 \times 3 \times 3\\\\= 108\rm\ in^3[/tex]
The volume of Cube B can be written as,
[tex]\rm \text{Volume of Cube} = (Side)^3[/tex]
[tex]= 5^3\\\\= 125\rm\ in^3[/tex]
Further, the volume of the figure can be written as,
The volume of the figure = Volume of the cuboid + Volume of the Cube
= 108 + 125 = 233 in³
Hence, the volume of the given figure is 233 in³.
Learn more about Volume:
https://brainly.com/question/1578538
What is the LCD of 11/12 - 7/8 ?
Answers
Johannes buys a bag of dried fruit in 10 ounce bags. If he plans to take 5 pounds of dried fruit on a camping trip, how many bags should he take?
A. 5
B. 8
C. 32
D. 50
Answers
On the test with 25 problems, Grace got 88% correct. How many problems did Grace get correct?
Answers
88/100 is .88
Then multiply that by the number of problems.
.88 x 25 is 22
Your answer is 22!!
Hope this helped!!!
~xox Melis
There are 22 problems Grace get correct.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Total number of questions = 25
And, Grace got 88% correct.
Now,
Since, Total number of questions = 25
And, Grace got 88% correct.
Hence, The correct questions = 88% of 25
= 88/100 x 25
= 88/4
= 22
Thus, There are 22 problems Grace get correct.
Learn more about the percentage visit:
https://brainly.com/question/843074
#SPJ2
WILL MARK BRAINIEST!!
Find the slope of the line that passes through each pair of points.
C(7, -3), D(11, -4)
R(-2, -3), S(-2, -5)
T(-13, 8), U(21, 8)
E(5, 2), F(12, -3)
Answers
CD: -1/4
RS: undefined (a vertical line at x=-2)
TU: 0 (a horizontal line at y=8)
EF: -5/7
A sphere has a diameter of 5 inches.
What is the volume of the sphere rounded to the nearest tenth?
Use 3.14 for pi.
16.4 in³
65.4 in³
130.8 in³
523.3 in³
Answers
[tex]V = (4/3) * ( \pi ) * (r ^ 3) [/tex]
Where,
r: is the radius of the sphere
The radius of the sphere is:
[tex]r = d / 2 [/tex]
Where,
d: diameter of the sphere
Substituting values we have:
[tex]r = 5/2 r = 2.5[/tex]
Then, the nolumen is given by:
[tex]V = (4/3) * (3.14) * (2.5 ^ 3) V = 65.4 in ^ 3[/tex]
Answer:
the volume of the sphere is:
65.4 in³
Answer:
65.4 in³
Step-by-step explanation:
Emma is going camping each side triangle of hurt it is 5 feet tall the square base 4 feet wide what is the surface area of her tent
Answers
[total surface area]= [surface area of the base]+[surface area of triangle sides]
[surface area of the base]= 4*4=16 ft²
[surface area of one triangle side] = (base*height)/2 = 4*5/2------> 10 ft²
[surface area of four triangle sides]=4*10----------> 40 ft²
[total surface area]=16+40-------> 56 ft²
the answer is 56 ft²
The diameter of a circle is 2 yards. What is the circle's radius?
d
Answers
In the other hand the radius is a line passing through the center of the circle to the circumference, and it is the half of the measure of the diameter.
On this question is given that the diameter of a circle is 2 yards and it is asked to find the radius.
Radius=1/2diameter
Radius=1/2(2)
Radius=1
The radius of a the circle is 1 yard.
What is the answer for the equation 4|x+1/3|=20 ? A.x=411/12or-411/12 B.x=411/12 C.x=42/3or-51/3D.no solution
Answers
Divide by 4, unfold, subtract 1/3.
.. |x +1/3| = 5
.. -5 = x +1/3 . . . . one choice for the sign of the content of |x +1/3|
.. -5 1/3 = x
.. x +1/3 = 5 . . . . the other choice
.. x = 4 2/3
_____
If this were an inequality |x +1/3| < 5, I would "unfold" it as
.. -5 < x +1/3 < 5 . . . . . . . copy the right side expression to the left with reversed sign.
The above is an approximation of that. You can't really write -5 = ( ) = 5, because it is a gross violation of the equal sign. But you can write the two versions:
.. -5 = ( )
.. ( ) = 5
Answer:
C. x = 4 2/3 or x = -5 1/3
Step-by-step explanation:
4|x + 1/3| = 20
Divide both sides by 4.
|x + 1/3| = 5
Deal with the absolute sign symbol.
x + 1/3 = 5 or x + 1/3 = -5
x = 4 2/3 or x = -5 1/3
Answer: C. x = 4 2/3 or x = -5 1/3
A swimmer swims 4 laps in 3 minuets. What is the swimmers unit rate?
Answers
The population of city A is 18% less than the population of city B so city A population is what percent of city B
Answers
The population of city A is 82% of the population of city B.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Let y be the population of the city A.
and, x be the population of city B.
As, the population of city A is 18% less than the population of city B.
So, (100- 18) = 82% = 0.82
Thus, the relation is y= 0.82 x
Hence, The population of city A is 82% of the population of city B.
Learn more about Algebra here:
https://brainly.com/question/9073891
#SPJ2
Final answer:
City A's population is 82% of city B's population, which is calculated by subtracting the decrease percentage (18%) from 100%.
Explanation:
The question focuses on finding the percentage of city A's population relative to city B's population. Given that city A's population is 18% less than city B's population, it means that city A has 82% (100% - 18%) of the population of city B. Therefore, if city B is considered 100% in terms of population size, city A's population is 82% of city B's population. This is calculated by understanding that subtracting the percentage decrease from 100% gives us the remaining percentage.
Hence, City A's population is 82% of City B's population, indicating that City A's population is 82/100 or 0.82 times the population of City B.
Plastic bags used for packaging produce are manufactured so that the breaking strength of the bag is normally distributed with a mean of 5 pounds per square inch and a standard deviation of 2 pounds per square inch. what is the probability that a sample of 16 such bags will have an average breaking strength less than 6 pounds per square inch? (choose the closest answer. answers are rounded to the fourth decimal place).
Answers
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 16 cm2. (let x, y, and z be the dimensions of the rectangular box.) (x, y, z) =
Answers
x = y = z = √(16/6) cm = (2/3)√6 cm, about 1.633 cm
Final answer:
Finding the exact dimensions of a rectangular box with the largest volume from a given surface area of 16 cm2 requires additional constraints. For illustrative purposes, in the case of a cube with equal sides, the side length can be found using the formula for surface area, showing how such a problem might be approached.
Explanation:
To find the dimensions of a rectangular box with the largest volume given a total surface area of 16 cm2, we can use the method of Lagrange multipliers or understand the principle that for a given surface area, the box which is closest to a cube will have the largest volume. However, without additional constraints, like a relation between the dimensions (x, y, z), solving for specific x, y, z values directly from just the surface area constraint alone leads to an infinite number of solutions. For simplicity, we'll consider a problem where symmetry is involved, as in the case of a cube, to illustrate how one might approach it.
Surface area of a rectangular box is given by 2(xy + xz + yz) = 16 cm2. To simplify and directly answer based on the data given would require additional constraints, such as assuming all sides are equal. For a cube, with all sides equal (let’s call each side 'a'), the surface area would be 6a^2. Solving 6a^2 = 16 gives a = sqrt(16/6) ≈ 1.633. This illustrates a scenario under specific conditions but doesn't directly solve the original question without additional constraints.
Draw a number line and show all numbers that …
are solutions of the equations (x−1)(x+1)=0.
on a number line that is -5 through 5
Answers
x = 1 or x = -1
Ans : -1 and 1
-5 -4 -3 -2 -1 0 1 2 3 4 5
--|--|--|---|---|--|---|--|--|--|--|--
(x-1)(x+1)=0
is x=1 and x= -1
Therefore, there should be points on the line at 1 and -1
George has $23 to spend on Art supplies. He wants to buy markers,paper,and glue. If the total cost of the markets and paper is more than $14, write an inequality that represents the dollar amount,p, George can spend on glue.
Answers
A piece of stained glass in the shape of a right triangle has sides measuring 8 centimeters, 15 centimeters, and 17 centimeters.What is the area of the piece?
Answers
A = (1/2)bh
A = (1/2)(8 cm)(15 cm)
A = 60 cm²
5.301 times 10^7 standard form
Answers
Can anyone help me out with this?? I dont Understand
Answers
s = r*θ . . . . . . . where θ is in radians
For your arc, the length is
s = (15 ft)*(π/4) ≈ 11.78 ft
_____
45° can be converted to radians by multiplying by π/180°.
45° * (π/180°) = π*(45/180) = π/4 . . . . radians
What is the value of x?
Answers
This is a 45-45-90 triangle; 45-45-90 triangles' sides are in the ratio 1:1:[tex] \sqrt{2} [/tex].
Since the legs measure 7 units, the hypotenuse (x) measures [tex]7 \sqrt{2} [/tex].
Answer:
[tex]7 \sqrt{2} [/tex]
Anais bought 2 1/2 yards of ribbon. She had 1 foot 6 inches of ribbon left andvtrimming some curtains. How many inches of ribbon did Anais use to trim curtains
Answers
Maggs invests $10,250 at a rate of 9%, compounded weekly. To the nearest whole dollar, find the value of the investment after 7 years. $10,375 $11,208 $18,737 $19,230
Answers
P = Principal
R = Rate
Y = Years
T = P* (1+ r/n)^(y*n)
n=52
T = 10,250 * (1. 0.002)^(364)
T = 10,250 * 1.877
T = 19,235.03
Your answer is $19,253.03
Hope I helped!
Let me know if you need anything else!
~ Zoe (Rank:'Genius')
Answer:
the correct answer is 19,230
Step-by-step explanation:
10 people can paint a building in 5 days. If each person paints as quickly as the others then how much of the building could 7 people paint in 5 days?
Answers
Answer:
0.7 building
Step-by-step explanation:
The allowed time is the same, so we expect the amount of building to be proportional to the number of people working. If 7/10 of the workforce is present, we expect 7/10 of the building to be painted.
determine whether each set of side lengths could be the sides of a right triangle Drag and drop each set of side lengths to the correct box right triangle not a right triangle 8 in 15 in 17 in. 4 in 15 in 17 in
Answers
Answer:
8 in 15 in 17 in.--- form a right angled triangle.
4 in 15 in 17 in.---- do not form a right angled triangle.
Step-by-step explanation:
We know that according to the PYTHAGOREAN THEOREM of right triangles we have:
[tex]c^2=a^2+b^2[/tex]
where c is the hypotenuse or the largest side of a triangle and a and b are other two legs of a right triangle,.
1)
8 in 15 in 17 in.
[tex]17^2=15^2+8^2\\\\289=225+64\\\\289=289[/tex]
Hence, the given measure of sides form a side of a right angled triangle.
2)
4 in 15 in 17 in.
Since,
[tex]17^2\neq 15^2+4^2[/tex]
Hence, the given measure of sides do not form a side of a right angled triangle.
Drag the tiles to the correct boxes to complete the pairs.
Model each problem as an equation, and then match it to its solution.
Tiles
The sum of the squares
of two positive integers is
185. If one integer is 3
less than the other, find
the larger integer.
The numerator of a
fraction is 1 more than
twice its denominator. If 4
is added to both the
numerator and the
denominator, the fraction
reduces to . Find the
denominator.
The difference of a
positive integer and its
inverse is . Find the
integer.
Answers
The questions are solved by setting up equations based on the information provided, and then solving. The equations help identify the larger integer, the denominator, and the positive integer in the various problems.
Explanation:The first question talks about two integers, hence we can express them as x and y. It is stated that one is 3 less than the other, so we let y = x - 3. The sum of their squares is 185, so we can write this as x² + y² = 185. Replacing y in the equation, we get x² + (x - 3)² = 185. Solve this quadratic equation for its roots, one of which is the larger integer.
In the second question, the numerator of a fraction is described to be 1 more than twice its denominator. If the denominator is x, the numerator becomes 2x + 1. We're also told that when 4 is added to both, the fraction reduces to 1/2. Thus, we have: (2x + 1 + 4) / (x + 4) = 1/2. Solve this equation to find the denominator.
The third question talks about a positive integer and its inverse (1/x if x is the integer). It is mentioned that their difference is 1/4. Hence, we get the equation: x - 1/x = 1/4. Solving this equation gives the required integer.
Learn more about Equations here:https://brainly.com/question/9585437
#SPJ12
A traveler has $50 in United States bills and wishes to convert them to Swiss Francs. The traveler checks a newspaper for the exchange rate and finds the figure "1.6465" under "Dollar in Foreign Currency."
At this rate he receives -__ francs.
51.65
82.33
30.37
will report if answer is wrong or you just reply "sorry idk"
Answers
First answer, but any other questions i answer will be short and sweet and the answer itself will be in bold
Answer:
At this rate traveler receives 82.33 Swiss Francs.
Step-by-step explanation:
A traveler has $50 United States bills. He wishes to convert them to Swiss Francs.
The current exchange rate : 1 Dollar = 1.6465 Swiss Francs
50 Dollars = 1.6465 x 50 = 82.325 Swiss Francs rounded to 82.33.
At this rate traveler receives 82.33 Swiss Francs.
Factor.
x^2−8x+16
(x−8)^2
(x+8)^2
(x+4^)2
(x−4)^2
Answers
-4 are two factors of 16 that differ by -8