Using the Pythagorean Theorem, determine the length of the missing side of the right triangle.
Answers
In this case, you have a and b, so you need c.
That means that c^2 = a^2 - b^2 so c is the square root of (a^2 - b^2) that means c = the square root of (676 - 576) which is 10in.
Answer: 10 in.
Step-by-step explanation: We can use the PT to find the length of the missing side. The PT is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where "a" and "b" are side lengths and "c" is the hypotenuse. Given that, we can see that they have given just one side length (24 in) and the length of the hypotenuse (26 in). Plugging these values into the formula, we get 24^2 + b^2 = 26^2. This equals 576 + b^{2} = 676. Solving for b^{2}, we move the 576 and do 676-576, which equals 100, giving us b^{2} = 100. If we take the square root of both sides, we get b = [tex]\sqrt{100\\}[/tex]. The square root of 100 equals 10, giving us our final answer. The length of the missing side is 10 in.Related Questions
What is an equation of the line passing between(4, -6) and (12, -8)?*
Answers
Answer:
y= -1/4x - 5
Step-by-step explanation:
first you need to find the slope.
to do this you can use the equation: change in y/change in x which is also y2 - y1/x2-x1
-8 - (-6)/12-4
-2/8
-1/4 = slope
since the line's equation is y = mx + b, we still need to find the y-intercept. we can do this by just plugging in one of the points
-6 = -1/4(4) + b
-6 = -1 + b
-5 = b
so the final equation is y= -1/4x - 5
can someone please answer
Answers
Answer:
The answer is 49 degrees
Step-by-step explanation:
The total we are getting to is 180, we have 131. Subtract to find the missing number that makes it 180 which is 49 because 180 minus 131 is 49.
Answer:
x = 49 °
Step-by-step explanation:
These both angles are located at the straight line. So, the sum of both angles are 180 ° .
x + 131 ° = 180 °
subtract 131 ° from 180 °
x = 180° - 131 °
x = 49 °
Open or closed circle?
What is the answer for the number line?
What is the solution?
Answers
To isolate m, we'll multiply both sides by 8.
We go from m/8 < 4 to m < 32
This describes any number smaller than 32. We aren't including 32 itself, so we have an open circle at 32 on the number line. The shading is to the left since everything to the left of 32 is smaller than 32.
A farmer has developed a new type of fertilizer. This new fertilizer costs 20
percent more to produce than the old fertilizer but has better results: The
same land now produces 25 percent more crops each year.
Which statement best describes one way the farm will be affected by using
this new fertilizer?
A. The farm's marginal cost for fertilizer will decrease.
B. The farm's marginal cost for fertilizer will increase.
C. The farm's opportunity cost for using fertilizer will decrease.
D. The farm's opportunity cost for using fertilizer will increase.
Answers
Answer:
A
Step-by-step explanation:
Marginal cost is the change in total cost as a result of increasing output by one unit
Marginal cost = Δcost / Δquantity
0.2 / 0.25 = 0.8
The marginal cost would decrease because the change in output is higher than the change in total cost
Marginal benefit would increase
Opportunity cost is the cost of the opportunity forgone when one alternative is chosen over other alternatives. There is no enough information given to determine the impact on opportunity cost
What is the value of x in the equation 1/5x - 2/3 y = 30, when y= 15?
4.
Ο Ο Ο Ο
200
Answers
Answer:
The value of x is 100
in a survey of 100 cars,47 were white,23 were blue and 30 were red.express each of these numbers as a percentage of the total.
Answers
Answer:
white- 47% Blue-23% Red- 30%
Step-by-step explanation:
White cars- (47/100)*100= 47%
Blue cars- (23/100)*100=23%
Red cars- (30/100)*100=30%
*BRAINLIEST**
Would anyone be willing to give a quick sketch of what this should look like?
Answers
Answer:
There is your answer. Hope this helps
find the equation of the straight line passing through 4,1 with a gradient of 1
Answers
Answer:
y = x - 3
Step-by-step explanation:
If the gradient (slope) of the line is m, then the point-slope form of the appropriate equation is y - k = m(x - h). If the gradient is 1, then
y - k = x - h
Since this line passes through (4, 1), we have
y - 1 = x - 4, or
y = x - 3
Can someone pls help me out
Answers
Answer:
50 is the answer
Step-by-step explanation:
corresponding angles are equal
i hooe it helps u
Answer:
50
Step-by-step explanation:
I suggest you to watch the khan academy videos before doing the practice!
JoeLouis2
Find The Volume & Show Work pls
Answers
Answer:
288 pi yds^3
Step-by-step explanation:
First find the volume of the cylinder
V = pi r^2 h = pi (6^2) * 24 = pi (36)*24 =864 pi
Then find the volume of one sphere
V = 4/3 pi r^3 = 4/3 pi (6)^3 = /43 pi (216) =288 pi
There are 2 sphere so multiply by 2
288 pi *2 =576 pi
Subtract the spheres from the cylinder
864 pi - 576 pi =288 pi
Please answer thiss!!!!
Answers
Answers:
a = 1/3
b = -6
c = 7
======================================================
Explanation:
The terms of the given expression rearrange to [tex]\frac{1}{3}x^2 - 6x+7[/tex] which is now in standard form (the exponents decrease when moving from left to right).
We can see that
a = 1/3
b = -6
c = 7
after matching that with the ax^2+bx+c form.
The area of a swimming pool is 119 square meters. The width of the pool is 7 meters. What is the length of the pool in centimeters?
Answers
Answer:
17 meters
Step-by-step explanation:
Area = Length x Width
Width = 7
Area = 119
Solving for: Length
Equation:
119 = 7 * x
Solving for Length (x) :
119 = 7 * x
x = 119/7
x = 17
Units = meters
Answer: 17 meters
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
pls answer. im not smart
Answers
Step-by-step explanation:
A.
20-4-681041214-2B.
68-20-4212881412What is the y intercept of the line that has a slope of 4 and goes through the point (-3,12)?
A) 0
B) -12
C) 24
D) 12
Answers
Hope this helps :)
BRANLIEST FOR CORRECT ANSWER ASAP
Complete the statement about the tables below. Then, choose a rule for each.
x y
0 5
1 7.5
2 11.25
This table represents a(n)
relationship.
Rule:
x y
0 -6
1 12
2 30
This table represents a(n)
relationship.
Rule:
Answers
Answer:
Step-by-step explanation:
First rule:- Each value of y after the first one is obtained by multiplying the previous value by 1.5, ( Note 11.25 / 7.5 = 1.5 and 7.5 / 5 = 1.5).
The relationship is : a(n) = 5 * 1.5^(n-1)
Second Rule:- Note:- 12 - (-6) = 18 and 30 - 12 = 18. So we add 18 to get the next term in this rule.
Relationship is : a(n) = -6 + 18(n - 1).
Describe the general properties of rotations. Include a discussion of the properties of rigid transformations ,and line segments connecting corresponding points to each other and to the center of rotation
Answers
Answer:
A rotation is a rigid transformation, sometimes called an isometric transformation, that moves every point of the pre-image through an angle of rotation about the center of rotation to create an image. Rotations preserve size, rotations of 360 map a figure to itself, and lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length.
Step-by-step explanation:
Here man this is right
Answer:
Here is the sample response
Step-by-step explanation:
Sample Response: Rotations are rigid transformations, which means they preserve the size, length, shape, and angle measures of the figure. However, the orientation is not preserved. Line segments connecting the center of rotation to a point on the pre-image and the corresponding point on the image have equal length. The line segments connecting corresponding vertices are not parallel.
Determine the value for x in the picture below.
Please help me
Answers
Given:
The figure of a right angle triangle.
A line segment intersect the two sides and parallel to third side of the triangle
To find:
The value of x.
Solution:
According to basic proportionality theorem, if a line segment intersect the two sides and parallel to third side of the triangle, then it divides the two sides proportionally.
Using basic proportionality theorem, we get
[tex]\dfrac{8}{20-8}=\dfrac{6}{x}[/tex]
[tex]\dfrac{8}{12}=\dfrac{6}{x}[/tex]
[tex]\dfrac{2}{3}=\dfrac{6}{x}[/tex]
On cross multiplication, we get
[tex]2\times x=6\times 3[/tex]
[tex]2x=18[/tex]
[tex]x=\dfrac{18}{2}[/tex]
[tex]x=9[/tex]
Therefore, the value of x is 9.
What is the range of the function shown on the graph?
A. -(infinite) < y < (infinite)
B. -6 < y < (infinite)
C. -(infinite) < y < -6
D. -(infinite) < y < 3
Answers
Answer:
B. -6 < y < ∞
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Inequality NotationStep-by-step explanation:
According to the graph, we have an asymptote at y = -6 and infinite positive y-values. Our range is therefore restricted to -6 to infinity. Both y = -6 and ∞ are excluded:
-6 < y < ∞
A building casts a shadow 168 meters long. At the same time, a pole 5 meters high casts a shadow 20 meters long . What is the height of the building ?
Answers
Answer:
42
Step-by-step explanation:
The height of the pole is 4 times shorter than the length of the shadow 20÷5=4
The height of the building must be 4 times shorter than its shadow length 168÷4=42
Which of the expressions are equivalent to the one below? Check all that
apply.
2. (4+9)-(3.2)
A. (3.2)-(2.4) + (
29)
O B. (2+4). (2 + 9)-3.2
C. 2.4 +9-3.2
D.2.4+ (2.9) - (2.3)
Answers
Answer:
The answer is C because its the only one that adds up correctly
None of the given expressions are equivalent to (4 + 9) - (3 . 2).
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can simplify the given expression as:
(4 + 9) - (3 . 2) = 13 - 3.2 = 9.8
Now, we can check which of the given expressions is equivalent to 9.8:
A.
(3 . 2) - (2.4) + (2.9) = 3.7
(not equivalent)
B.
(2 + 4) (2 + 9) -3 . 2 = 84.8
(not equivalent)
C.
2.4 +9 - 3.2 = 8.2
(not equivalent)
D.
2.4 + (2.9) - (2.3) = 3.0
(not equivalent)
Therefore,
None of the given expressions are equivalent to (4 + 9) - (3 . 2).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
The complete question.
Which of the expressions is equivalent to the one below?
Check all that apply.
(4 + 9) - (3 . 2)
A. (3 . 2) - (2.4) + (2.9)
B. (2 + 4) (2 + 9) -3 . 2
C. 2.4 + 9 - 3.2
D. 2.4 + (2.9) - (2.3)
90 POINTS
Joshua has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 14.2 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 78°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer.
Answers
Answer:
not safe
Step-by-step explanation:
check work in pic
100 points !!!!! thank you :)
Answers
Answer:
A
Step-by-step explanation:
4+(-7)-(-3) What will be the answer ?
Answers
there are four consecutive even numbers. The second number is represented by x. find the sum of four numbers in term of x
Answers
Answer:
Sum of the four numbers in terms of x would be 4x+4
Step-by-step explanation:
x-2 + x + x+2 + x+4 = sum
4x+4 = sum
Need help quick someone help!
Answers
To solve this problem, you multiply both sides by 3. Next you divide both sides by 2
How to find the measurements
Answers
Answer:
by using ruler or measurement tape
Divide *° -3x– 10x+ 24 by X-2
Answers
Answer:
[tex] - 13 - \frac{2}{x - 2} [/tex]
Step-by-step explanation:
[tex] \frac{ - 3x - 10x + 24}{x - 2} [/tex][tex] \frac{ - 13x + 24}{x - 2} [/tex][tex] - 13 - \frac{2}{x - 2} [/tex]
Hope it is helpful...The circumference of a circle is 20 pi inches. What is the area in square inches of the circle express your answer in terms of pi
Answers
Answer:
314 c m 2
Step-by-step explanation:i think i dont know (sorry)
On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons of gas with us the average gas mileage for Stephanie car?
Answers
Answer:
0.0428 miles per gallon
Step-by-step explanation:
On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons
Given data
Distance driven = 280miles
Fuel used= 12 gallons
Hence the gas per mile is expressed as
Gas per mile= 12/280
Gas per mile= 0.0428 miles per gallon
What is the value of x ?
Answers
Answer:
x = 20
Step-by-step explanation:
90 = 60 + (x + 10)
90 - 60 = x + 10
30 = x + 10
30 - 10 = x
20 = x
Answer:
x = 20
Step-by-step explanation:
From the diagram we see that ∠60° and ∠(x + 10)° are supplementary, therefore we know that the following is true...
60° + (x + 10)° = 90°
Now we just solve the equation and get the following...
60° + (x + 10)° = 90°
x° + 10° = 30°
x° = 20°
x = 20