Answers
In 45-45-90 triangles hypotenuse = x√2 [x=leg]
If leg = 14cm, then hypotenuse = 14√2 cm.
Related Questions
Someone help me please !!!
Answers
Answer:
1. 10
2. 12
3. Sqrt 130
4. Sqrt 45
Step-by-step explanation:
To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex] where a and b are the legs with a being the smallest and c is the hypotenuse.
1. a=6, b=8, c=?
[tex]6^2+8^2=c^2\\36+64=c^2\\100=c^2\\10=c[/tex]
2. a=5, b=?, c=13
[tex]5^2+b^2=13^2\\25+b^2=169\\169-25=b^2\\144=b^2\\12=b[/tex]
3. a=7, b=9, c=?
[tex]7^2+9^2=c^2\\49+81=c^2\\130=c^2\\\sqrt{130}=c[/tex]
4. a=2, b=?, c=7
[tex]2^2+b^2=7^2\\4+b^2=49\\49-4=b^2\\45=b^2\\\sqrt{45}=b[/tex]
1. Evaluate 6.314 - 9.77.
3.456
-3.464
-3.456
-16.084
2. Evaluate -5.118 - (-4.1).
-9.218
-1.018
1.018
9.218
3. Find the value of x + y for x = 75.9 and y = 2.65.
10.24
102.4
78.55
79.55
4. Find the value of -x + y for x = 75.9 and y = 2.65.
-78.55
78.55
73.25
-73.25
Answers
3.456
-3.464
-3.456 ☆
-16.084
2. Evaluate -5.118 - (-4.1).
-9.218
-1.018 ☆
1.018
9.218
3. Find the value of x + y for x = 75.9 and y = 2.65.
10.24
102.4
78.55 ☆
79.55
4. Find the value of -x + y for x = 75.9 and y = 2.65.
-78.55
78.55
73.25
-73.25☆
Answer:
1. -3.456
2. -1.018
3. 78.55
4. -73.25
Step-by-step explanation:
In Algebra, the following notations have to be considered.
Algebra is a branch of mathematics that deals with the computation of numbers irrespective of the signs involved.
- × - = +
+ × - = -
- × + = -
+ × + = +
Therefore,
1. 6.314 - 9.77 = -3.456
2. -5.118 - (-4.1) = -5.118 + 4.1 = -1.018
3. x + y for x = 75.9 and y = 2.65.
This requires substitution
75.9 + 2.65 = 78.55
4. -x + y for x = 75.9 and y = 2.65
= -75.9 + 2.65
= -73.25
A quiz has 4 multiple-choice questions with 4 possible answer choices each. for each question, there is only 1 correct answer.a student guesses each answer at random. what is the probability of getting exactly 3 questions correct, to the nearest percent?(3 correct and 1 incorrect)
Answers
The probability of getting 3 correct and 1 wrong in one of these ways is
1/4 * 1/4 * 1/4 * 3/4 = 3/256
So required probability = 4 * 3/256 = 12/256 = 4.69 %
5% to nearest percent.
Answer: (quartered spinner) (4) (1/256)
solve the equation by completing the square. round to the nearest hundredth if necessary. x^2-6x=20
Answers
x^2 - 6x + 9 = 20 + 9
(x - 3)^2 = 29
x - 3 = (+-) sqrt 29
x = 3 (+-) sqrt 29
x = 3 (+-) 5.39
x = 3 + 5.39 = 8.39 <=
x = 3 - 5.39 = - 2.39 <=
x^2-6x+(6/2)^2=20+(6/2)^2
x^2-6x+(3)^2=20+(3)^2
x^2-6x+9=20+9
(x-3)^2=29
x-3=5.38 or -5.38
x=5.38+3 or -5.38+3
x=8.38 or -2.38
A and b are complementary angles find a and b a=3/4x-13 b=3x-17
Answers
3 3/4x-30=90
3 3/4x = 120
x=32
A=11
B=79
To the nearest square unit, what is the area of the shaded region?
Answers
The area of one triangle= 1/2 x 15 x 18.11
=135.825
The area of the octagon = 135.825 x 8
= 1086.6
The area of shaded region will be the area of the octagon minus the square
The area of the shaded region = 1086.5-(15x15)
=861.6
Answer will be C as you need to round off to three significant figures
2 trapezium
1 rectangle
These reading are for shaded region
Each side of octagone is 15 as it is regular
The height of octagone=18.11 x 2=36.22 this is one side of trapezium
and the other is 15 as it is regular
the height of trapezium=10.61 from the whole horizontal length is equal to vertical as it is regular octagone
then we need to subtract this horizontal length by 15 which is one of the side =36.22-15=21.22 then divide it by 2 so that can get height of each trapezium =10.61
so the area of each trapezium= 0.5 x (36.22+15) x 10.61=271.7
And of two are= 271.7 x 2 =543.4
The area of triangle = 15 x 21.22 ( this is not the area of rectangle shown it is the area of rectangle which is above it and part of shaded region.
=318.3
Area of shaded region = 543.44 + 318 3 =861.7=862 to nearest whole number
SO ANSWER IS C THAT IS 862 square units
If there are 52 ounces of cereal in 2 boxes, how many ounces are there in 5 boxes?
Answers
26 * 5 = 130 ounces of cereal in 5 boxes
Answer:
If there are 52 ounces of cereal in 2 boxes, how many ounces are there in 5 boxes?
Step-by-step explanation:
If we have 52 ounces in 2 boxes, in 1 box we have: 52/2 = 26 ounces.
If we have 5 boxes and 26 ounces in each, we have: 5 x 26 = 130 ounces in total.
Webassign find the area of the region bounded by the parabola y = x2, the tangent line to this parabola at the point (6, 36), and the x-axis.
Answers
dy/dx=2x
at x=6, the slope is 2(6)=12
so
use point slope form
y-y1=m(x-x1)
point is (6,36)
so
y-36=12(x-6)
y-36=12x-72
y=12x-36
alright, so we know they intersect at x=6
and y=12x-36 is below y=x^2
so we do [tex] \int\limits^6_0 {x^2} \, dx - \int\limits^6_0 {12x-36} \, dx = \int\limits^6_0 {x^2-(12x-36)} \, dx = \int\limits^6_0 {x^2-12x+36} \, dx =[/tex]
[tex][\frac{x^3}{3}-6x^2+36x]\limits^6_0=(\frac{6^3}{3}-6(6)^2+36(6))-(0)=\frac{216}{3}-216+216=[/tex] [tex]72+0=72[/tex]
the area under the curve bounded by the lines and the x axis is 72 square units
HELP QUICK!!!
An ellipse has foci F1(9, 0) and F2(11, 6), and the point (1, 6) is on the ellipse. Identify the constant sum for the ellipse.
a 20
b 10
c 0
d 100
Answers
Distance D1:
(D1)^2 = (9-1)^2 + (0-6)^2 = 100
D1 = 10
Distance D2:
(D2)^2 = (11-1)^2 + (6-6)^2 = 100
D2 = 10
The constant sum is the summation of the two distances as follows:
constant sum = D1 + D2 = 10 + 10 = 20
The correct choice is:
a) 20
Answer: 20
Step-by-step explanation:
A tea bag is shaped like a regular square pyramid. Each leg of the base is 4 cm, and the slant height is 5 cm. Find the VOLUME of the tea bag.
Answers
So, the area of the base is 4x4, which is 16, then you multiply it by the height, 5, and 16x5 is 80, and 80/3 is approximately 26.6
The answer would be 26.6 cm^3
Find the product.
(n + 7)(n - 2)
n² - 5n - 14
n² + 5n - 14
n² - 5n + 14
Answers
[tex](n+7)(n-2)\\\\n*n+(-2)*n+7*n+7*(-2)\\\\n^{2}-2n+7n-14\\\\n^{2}+5n-14[/tex]
=n•n+(-2)•n+7•n+7•(-2)
=n²-2n+7n-14
=n²+5n-14. In conclusion, the product of (n+7) and (n-2) or (n+7)(n-2)=n²+5n-14. Hope it help!
Two numbers are in the ratio of 3 to 4. If nine is subtracted from each, they are in the ratio of 3 to 5. Find the numbers.
Answers
12-9=3
16-9=5
When subtracting 9 from each the new ratio is 3:5
Hope this helps!
Rectangular prisms A and B are similar.
The edge of prism B is 3 times that of prism A. How many times the volume of prism A is the volume of prism B?
Answers
[tex]\bf \textit{let's say the edge of A is \underline{k} long, then B's is \underline{3k}} \\\\\\ \cfrac{A}{B}\qquad \cfrac{k}{3k}\implies \cfrac{1}{3}\implies \cfrac{s}{s}\qquad thus \\\\\\ \cfrac{A}{B}\qquad \cfrac{1}{3}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{1}{3}=\sqrt[3]{\cfrac{s^3}{s^3}}\implies \left( \cfrac{1}{3} \right)^3=\cfrac{s^3}{s^3}\implies \cfrac{1^3}{3^3}=\cfrac{s^3}{s^3} \\\\\\ \cfrac{1}{27}=\cfrac{s^3}{s^3}[/tex]
What is the precise definition of an angle? question 1 options:?
Answers
From 75 campsites to 120 campsites
Answers
subtract 75 from 120
120-75 =45 more campsites
The sum of two numbers is 54 . the smaller number is 12 less than the larger number. what are the numbers?
Answers
If BC=5.3, CD=8.8, and AD= 14.3, find AB to the nearest tenth.
Answers
Step-by-step explanation:
8.6 is the answer to the equation
The sum of two numbers is 33. Twice the first number minus the second number equals 18. Find both numbers.
Answers
y = 33 - x
SO
2x - 33 + x = 18
3x = 51
x = 17
Now, we know x. We can use this to find y:
x + y = 33
17 + y = 33
y = 16
So, the numbers are 16 and 17.
The both numbers are = 17 and 16
Solving for the unknown numbersThe sum of two numbers = 33
Let the two numbers be X and y.
therefore X + y = 33 ----> equation 1
Twice the first number minus the second number= 18.
That is,
2x - y = 18 -----> equation 2
From equation 1 make X the subject of formula;
X = 33 – y
substitute X into equation 2,
2(33 – y) - y = 18
66 – 2y – y = 18
66 – 3y = 18
66 – 18 = 3y
48 = 3y
y = 48/3
y = 16
Substitute y = 16 into equation 1
Therefore, X +16 = 33
X = 33 –16
X = 17
Therefore, he both numbers are = 17 and 16
Learn more about summation here:
https://brainly.com/question/14322177
Write an equation for the translation of the function. y = cos x; translated 6 units up
Answers
Answer:
[tex]y=cos(x)+6[/tex].
Step-by-step explanation:
We are asked to write an equation for the translation of the function [tex]y=cos(x)[/tex] to 6 units upwards.
Let us recall transformation rules.
[tex]f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}[/tex]
[tex]f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}[/tex]
[tex]f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}[/tex]
[tex]f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}[/tex]
Since we need to shift our given function 6 units upwards, so we will add 6 to our given function outside the parenthesis as:
[tex]y=cos(x)+6[/tex]
Therefore, our required equation would be [tex]y=cos(x)+6[/tex].
5/14 divided by 3/4, what's the answer
Answers
(5/14)/(3/4)
(5/14)(4/3)
(5*4)/(14*3)
20/42
10/21
This can be calculated by finding the reciprocal of 3/4, which is 4/3.
Next, you multiply 5/14 by 4/3. To multiply fractions, you multiply the two numerators and set it as the new numerator and multiply the two denominators and set it as the new denominator.
5 * 4 = 20
14 * 3 = 42
To simplify, you can divide each by 2 since it goes into both values.
20/2 = 10
42/2 = 21
Answer: 10/21
A bag contains 30 red tiles, 15 green tiles, and 5 yellow tiles. One tile is drawn and then replaced. Then a second tile is drawn. What is the probability that the first tile is yellow and the second tile is green?
A.
1%
B.
3%
C.
6%
D.
18%
Answers
(5/50)*(15/50)=0.03 YOU HAVE A 3 PERCENT CHANCE!!!:D
^This is to calculate the probability of picking it in that order)^
The teen club had a cupcake sale. they started with 126 cupcakes. they sold 2/3 of their cupcakes in the morning. how many were left for them to sell in the afternoon?
Answers
42×2= 84 (number of cupcakes sold)
126-84= 42 (number of cupcakes left)
Please help me !!!!!!!!
Answers
side xy = square root 81 = 9
cosine(X) = Adj / Hypo
cosine(X) = 9/41
answer
C. 9/41
20 POINTS, PLEASE HELP ASAP!!!!
Answers
17 minutes ⇒ 1 revolution = 2π
1 minute ⇒ 2π/17
Angle of rotation is 2π/17 per minute
Question c)
The period of the rotation is 2π/17
The wheel starts rotating from the height of 5 meters from the ground and the maximum height is 125 meter from the ground.
The amplitude is 125 - 5 = 120 ÷ 2 = 60
The midline of the rotation is at 125 - 5= 120 ÷2 = 60 + 5 = 65 (this is the location of the centre of the wheel). This value is a shift of 65 from the zero midlines (which in this case would be the ground)
Question C
The movement of the wheel can be described as starting from 0° then reaching its peak at 180° and come back to its original position as it stops and it makes a complete circular turn 360°.
If we sketch this on a graph, we will obtain a curve of -cos(x)
We need to apply the period, the amplitude and the shift produced by this rotation into the equation [tex]y = -cos(x)[/tex]
The period is [tex] \frac{2 \pi }{7} [/tex] ⇒ [tex]f(t)=-cos( \frac{2 \pi }{7}t) [/tex]
The amplitude of 60 ⇒ [tex]f(t)=-60cos( \frac{2 \pi }{7}t) [/tex]
The shift of the midline by 65 units upwards ⇒ [tex]f(t) = -60cos( \frac{2 \pi }{7}t)+65 [/tex]
The final equation is
[tex]f(t) = -60cos( \frac{2 \pi }{7}t)+65 [/tex]
and the graph is shown in the third picture below
At a sandwich shop they offer 3 kinds of bread, 5 kinds of meat, and 3 kinds of cheese. Each type of sandwich has a combination of exactly 3 ingredients: 1 bread, 1 meat, and 1 cheese. How many types of sandwiches are possible?
Answers
The sandwich shop could yield a total of 45 types of sandwiches based on the three categories provided; namely, bread, meat, and cheese. According to the counting principle in mathematics, you multiply the amount of options available from each category to get the total combinations possible.
Explanation:In the scenario described, to determine the possible number of sandwiches, we need to analyze the provided combinations. We have 3 types of bread, 5 kinds of meat, and 3 kinds of cheese. Each sandwich exactly contains one item from each category.
To find out all possible sandwich combinations, we multiply the number of choices in each category. This is known as the counting principle.
So, the formula would be:
Number of sandwich combinations = Types of Bread * Types of Meat * Types of Cheese
Plugging the given numbers into this formula, we get:
Number of sandwich combinations = 3 * 5 * 3 = 45
So, there are 45 possible sandwich combinations available in this sandwich shop.
Learn more about Counting Principle here:https://brainly.com/question/29594564
#SPJ12
Evaluate 9 - b when b = 8
Answers
9 - 8 = 1
So, your answer is 1. Hope this helps, please mark brainliest and have an amazing day!
Equations are expressions separated by an equal sign. The value of the expression 9-b is b is 8 is given as 1
Equations and expressionsEquations are expressions separated by an equal sign
Given the expression 9 - b
If b = 8, we will have to substitute the value of 8 into the expression to have:
f(b) = 9 - b
f(8) = 9 - 8
f(8) = 1
Hence the value of the expression 9-b is b is 8 is given as 1
Learn more on function and values here: https://brainly.com/question/2284360
Find the area of the triangle
Answers
The base here is 8 and the height is 3.
8*3=24
24/2=12
The answer is B, 12 yd^2
My sister is 15 years older than i am. the sum of our ages is 41. find our ages
Answers
x + y = 41
y = x + 15
x + (x + 15) = 41
2x + 15 = 41
2x = 41 - 15
2x = 26
x = 26/2
x = 13 <== u r 13
y = x + 15
y = 13 + 15
y = 28 <== ur sis
Twenty times the square of a non-zero number is equal to 15 times the number
Answers
20x^2 - 15x = 0
5x(4x - 3) = 0
5x = 0, x =0
4x -3 = 0, x = 3/4
answer
non-zero number is 3/4
Solve 2x + 5y = −13
3x − 4y = −8
Answers
3x-4y=-8
Rearrange the first equation to solve for x in terms of y. This will be needed to apply the substition method.
2x+5y=-13
2x=-5y-13
x=-5/2y-13/2
Now plug this in for x in the second equation.
3(-5/2y-13/2)-4y=-8
-15/2y-39/2-4y=-8
-23/2y-39/2=-8
-23/2y=11.5
y=-1
Now plug this y value in to one of the original equations.
2x+5(-1)=-13
2x-5=-13
2x=-8
x=-4
Final answer: (-4,-1). <=============
To check:
2(-4)+5(-1)=-13
-8+5(-1)=-13
-8-5=-13
-13=-13
True
3(-4)-4(-1)=-8
-12-4(-1)=-8
-12+4=-8
-8=-8
True