Given a right triangles with the sides a,b, and c where c is the side opposite the right angle. Find the missing side if a=10 and b=12. Round the answer to 2 decimal places if necessary.
Rounding to 2 decimal places, the missing side of the right triangle is approximately 15.62 units.
To find the missing side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we are given sides a = 10 and b = 12, and we need to find the missing side c.
Using the Pythagorean theorem:
c^2 = a^2 + b^2
Substituting the given values:
c^2 = 10^2 + 12^2
c^2 = 100 + 144
c^2 = 244
Taking the square root of both sides to solve for c:
c = √244
c ≈ 15.62
Rounding to 2 decimal places, the missing side of the right triangle is approximately 15.62 units.
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LMN is a right triangle.
A. True
B. False
Answer: A
Áp dụng định lý Pitago đảo:
MN^2 = ML^2 + LN^2
<=> 39^2 = 15^2 + 36^2
<=> 1521 = 1521 (luôn đúng)
Jacob bought 5. 5 pounds of jelly beans for $14. 74. How much would 7. 25 pounds of jelly beans cost, to the nearest cent?.
Answer:
$19.43
Step-by-step explanation:
when 5.5 pounds cost $14.74 then 1 pound costs $2.68
because 14.74 divided by 5.5 equals 2.68
To calculate the price of 7.25 you multiply the price for 1 pund by 7.25
7.25 * 2.68 = 19.43
What is the equation of this line?
y=−1/4x
y=1/4x
y=−4x
y = 4x
Answer:
y=4x
Step-by-step explanation:
Answer:
y=5x
Step-by-step explanation:
Convert 30% to a fraction in lowest terms
Answer:
3/10
Step-by-step explanation:
Hope this helped
Solve by substitution.
y=4x-1
y=4-x
Please explain step by step.
I'll give Brainliest to the 1st person
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope:
4
y-intercept:
(
0
,
−
1
)
x
y
0
−
1
1
3
Step-by-step explanation:
Answer:
(yx-1)+(4-x)=4xy+4x-x
Create a rectangle with an area of 42 cm² and a perimeter of 34 cm.
A Rectangle with a length of 14 cm and breadth of 3 cm will be formed.
The Rectangle is a quadrilateral which has two sets of equal opposite sides.
Area of a rectangle = L × B = Length × Breadth
Perimeter of a rectangle = 2 [ L + B ] = 2 [ Length + Breadth ]
⇒ l * b = 42 ...[1]
⇒ 2 [ l + b ] = 34 ...[2]
From equation 2 ,
l + b = 17
b = 17 - l ...[3]
Putting the value of b in [1]
⇒ l*[17 - l ] = 42
⇒ 17l - l² = 42
⇒ l² - 17l + 42 = 0
⇒ l² - 14l - 3l + 42 = 0
⇒ l [ l -14 ] - 3 [l - 14] = 0
⇒ [l -14] [l - 3] = 0
⇒ L = 14 , 3
Putting values of B in [1]
B = 14 , 3
But the length of rectangle is 14 cm as length is longer than breadth.
And Breadth of a rectangle is 3 cm.
Hence, a Rectangle with a length of 14 cm and breadth of 3 cm will be formed.
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The perimeter of a regular hexagon is 90 feet.
What is the area of the hexagon?
Enter your answer rounded to the nearest tenth in the box.
Answer: 584.6
Step-by-step explanation: I just took the test
1. An exponential function is shown below.
f (x)= -2(2)
Which key attribute does the function not exhibit?
This question seems extremely odd to me. I don't really even understand what's being asked.
As far as exponential functions go, it's missing an exponent for one. The dependent variable is missing. This essentially saying f(x) = -4 or y = -4. Which is fine, but is definitely not an exponential function and in a very odd and incomplete form to begin with.
G
H
2.5(JK)
12
к
L
F
What is HL?
=================================================================
Work Shown:
The diagram shows that JK = 12 and GF = 2.5*(JK) = 2.5*12 = 30
The midsegment HL will be the average of the two lengths it is parallel to.
We'll add up the values and then cut the result in half
HL = (JK+GF)/2
HL = (12+30)/2
HL = 42/2
HL = 21
What is the product of (7.28 x 10-2). (9.1 x 10-2)?
06.6248 10-3
O 66.248 x 10-4
06.6248 x 104
0 66.248 x 10-3
Answer:
B
Step-by-step explanation:
Answer:
its 4543 i6v
Step-by-step explanation:
Find the y-intercept of the parabola
y=x^2-6x+8
Type a coordinate point like (9,-5) with no spaces.
Show your work.
Vertex is at (3,−1) ; y-intercept is at (0,8) and x-intercepts are at (2,0) and (4, 0)
We know the equation of parabola in vertex form is y = a(x - h)² + k where vertex is at (h,k). Here y = x² - 6x + 8 = (x - 3)² - 9 + 8 = (x - 3)² - 1 ∴ Vertex is at (3,-1) we find y-intercept by putting x = 0 in the equation. So y = 0 - 0 + 8 = 8 and x-intercept by putting y=0 in the equation. So x² - 6x + 8 = 0 or (x - 4)(x - 2) = 0 or x = 4; x = 2 graph{x^2-6x+8 [-20, 20, -10, 10]}
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xxxxxxx
xxx
xxxxxxx
xxx
xxxxxxx
xxx
xxxxxxx
xxx
xxxxxxx
xxx
xxxxxxx
Which equation shows how the distributive property can be used to find the number of
Xs in both arrays?
Answer:
here is a simple version
lets make A equal the exponent so (A=^2 or 3 or whatever)
the exponent will be the amount of times you want to repeat the process.
Now lets make x = the first array, so x=3
and lets make y = the second array, y=7
now a simple equation would be (3x)(7y)^A or for this you could say
(3x)(7y)^6
Jon caught four fish that weighed a total of 264 pounds. The kingfish weighed twice as much as the
amberjack and the white marlin weighed twice as much as the kingfish. The weight of the tarpon was 5
times the weight of the amberjack.
How much did each fish weigh?
Answer:
Amber jack 22 pounds
Tarpon 110 pounds
King fish = 44 pounds
White Marlin = 88 pounds
Step-by-step explanation:
Let the weight of the amber jack be x pounds
Kingfish weighed twice as much = 2 * x = 2x pounds
White Marlin weighed 2 times kingfish
= 2x * 2 = 4x pounds
Tarpon weighs 5 times amber jack = 5 * x = 5x
Add all together to give 264
5x + 4x + 2x + x = 264
12x = 264
x = 264/12
x = 22 pounds
Hence ;
Amberjack weighs 22 pounds
Tarpon = 5 * 22 = 110 pounds
Kingfish = 2 * 22 = 44 pounds
White Marlin = 2 times king fish = 2 * 44 = 88 pounds
Simplify the expression answer must be in positive exponents
(5x)^0
Answer:
1
Step-by-step explanation:
using the rule of exponents
\(a^{0}\) = 1 , then
\((5x)^{0}\) = 1
∑ Hey, jillianwagler ⊃
Answer:
1
Step-by-step explanation:
Given:
Simplify the expression answer must be in positive exponents
\(\mathrm{(5x)^0}\)
Solve:
Applying exponent rule: \(a^0=1,\:\quad \mathrm{\:assuming\:}a\ne \:0\)
\(=1\)
Hence, the answer is 1.
xcookiex12
8/19/2022
She must determine height of the clock tower using a 1.5 m transit instrument (calculations are done 1.5 m above level ground) from a distance 100 m from the tower she found the angle of elevation to be 19 degrees. How high is the clock tower from 1 decimal place?
Step-by-step explanation:
We can use trigonometry to solve this problem. Let's draw a diagram:
```
A - observer (1.5 m above ground)
B - base of the clock tower
C - top of the clock tower
D - intersection of AB and the horizontal ground
E - point on the ground directly below C
C
|
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| x
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-------------
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B
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A
```
We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:
tan(ACD) = CE / AB
tan(19) = CE / 100
CE = 100 * tan(19)
CE ≈ 34.5 m (rounded to 1 decimal place)
Therefore, the height of the clock tower is approximately 34.5 m.
Make a the subject of the formula v=u+at
Answer:
a = (v - u)/t.
Step-by-step explanation:
v = u + at
v - u = at
(v - u)/t = a.
snicker fun size 10.59oz the cost is 3.89 what is the price per ounce.
Step 1
Given;
\(\begin{gathered} \text{ Candy bars = 10.59oz} \\ \text{Cost}=\text{\$}3.89 \end{gathered}\)Required; To find the price per ounce
Step 2
State the ratio that can be used to find the price per ounce of the candy bars.
\(\begin{gathered} \frac{\text{\$}3.89}{x}=\frac{10.59oz}{1oz} \\ 3.89\times1=10.59x \\ x=\frac{3.89}{10.59} \\ x=\text{\$}0.3673276676 \\ x\approx\text{\$0.37} \\ \text{That is approxi}mately\text{ 37 cents} \end{gathered}\)10.) In a simple linear regression analysis on n=100 observations, the following results are produced:
SST= 500, SSE= 100
Which of the following is true?
14.) In a simple regression analysis, if the standard error of estimate is 15 and the number of observations is 10 then the sum of the residual squared must be 120.
15.) In a multiple regression problem involving 35 observations and five explanatory variables
SST= 900 and SSE is 460. The value of the F ratio for testing the significance of this model is 15.56.
Please show Excel work.
The value of the F ratio for testing the significance of this model is not 15.56.
For question 10, in a simple linear regression analysis, SST represents the total sum of squares, which measures the total variation in the dependent variable. SSE represents the sum of squared errors, which measures the variation that is not explained by the regression model.
To determine which statement is true, we need to compare the values of SST and SSE.
Now let's move on to question 14. The standard error of estimate is a measure of the variability of the observed values around the regression line. It is not directly related to the sum of the residual squared.
Therefore, the statement that the sum of the residual squared must be 120 is not necessarily true.
Lastly, for question 15, the F ratio is used to test the overall significance of a multiple regression model. It compares the explained variation (SST - SSE) with the unexplained variation (SSE) and takes into account the number of observations and number of explanatory variables.
Given that SST is 900 and SSE is 460, we can calculate the F ratio as follows:
F = ((SST - SSE) / number of explanatory variables) / (SSE / (number of observations - number of explanatory variables))
F = ((900 - 460) / 5) / (460 / (35 - 5))
F = 440 / 460
F ≈ 0.9565
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3 5/6 + (-1 1/6)
plz help me with this.
Answer:
3 5/6 + (-11/6) --> 2 2/3
Step-by-step explanation:
Step 1: 3-1--> 2
Step 2: 5/6 - 1/6 --> 2/3
Final Answ. : 2 2/3
if each of seven persons in a group shakes hands with each of the other six persons, then a total of forty-two handshakes occurs.
A. True
B. False
Answer:
B. False
Step-by-step explanation:
You want to know if it is true that when each of seven persons in a group shakes hands with each of the other six persons, a total of forty-two handshakes occurs.
HandshakesThe count of 42 handshakes includes every one of 7 shaking hands with each of the remaining 6, without regard to whether they met before.
The count will include A shaking hands with B, and B shaking hands with A. That handshake will be counted twice, so the number 42 overstates the actual number of handshakes by a factor of 2.
It is false that there will be 42 handshakes. (There will be only 21.)
please can you help me??
Answer:
Step-by-step explanation:
you put the -9 above where it says the -9 and same to the -3
or to solve the equation:
Divide both sides of the equation by the same term
−9=−3−9−3=−3−3
Divide the numbers
−9−3=−3−3
3=−3−3
Cancel terms that are in both the numerator and denominator
Move the variable to the left =3x=3
Solution =3
Help please im sooooo confused
Answer:
the square or the triangle
Step-by-step explanation:
Can someone please answer my three math questions I’ll give u five stars I rlly need them thanks if u need the link for the questions I’ll give them to u
Answer:
ill help you just send me the pictures of the problems!
where is the altitude of polaris (the maximum)
The altitude of Polaris, also known as the North Star, refers to its angle above the horizon when observed from a specific location on Earth.
The altitude of Polaris varies depending on the observer's latitude.
For an observer at the North Pole (latitude 90 degrees), Polaris appears directly overhead, at an altitude of 90 degrees. This means Polaris is at the zenith, the highest point in the sky.
For observers at other latitudes in the Northern Hemisphere, Polaris will appear lower in the sky. The altitude of Polaris is equal to the observer's latitude. For example, if you are at a latitude of 40 degrees north, Polaris will have an altitude of approximately 40 degrees above the horizon.
It's important to note that the altitude of Polaris remains relatively constant throughout the night and throughout the year due to its proximity to the celestial north pole. This makes it a useful navigational reference point for determining direction and latitude in the Northern Hemisphere.
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Which expression is equivalent tofor all values of m , p , and v where the expression is defined?
m^6p^(-3)v^10.m^2p^5v^2
a. m^12p^(-15)v^20
b. m^3p^12v^7
c. m^-(18)p^20v^10
d. m^8p^2v^12
The given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) for all values of m, p, and v is equivalent to \(m^{8}p^{2}v^{12}\). Therefore, option D is the right choice for this question.
Monomials are algebraic expressions with single terms. They can be said to be specialized cases of polynomials.
We are given the algebraic expression - \(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)
To simplify it we will use the rules of the indices as follows -
\(a^{m}.\ a^{n} = a^{m+n}\)
Now,
\(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)
Segregating the like variables, we get,
= \((m^6.\ m^2) .\ (p^{-3}.\ p^{5}) .\ (v^{10}.\ v^{2})\)
by using the rules of indices, we will get,
= \((m^{6+2}) .\ (p^{-3+5}) .\ (v^{10+2})\)
= \((m^{8}) .\ (p^{2}) .\ (v^{12})\)
= \(m^{8}p^{2}v^{12}\)
Hence, the given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) is equivalent to \(m^{8}p^{2}v^{12}\).
Therefore, option D is the right choice for this question.
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-X-5y + z = 17
-5x - 5y + 5z = 5
2x + 5y- 3z=-10
Solve the systems of equations.
(x, y, z)
Answer:
x = -1 , y = -4 , z = -4
Step-by-step explanation:
Solve the following system:
{-x - 5 y + z = 17 | (equation 1)
-5 x - 5 y + 5 z = 5 | (equation 2)
2 x + 5 y - 3 z = -10 | (equation 3)
Swap equation 1 with equation 2:
{-(5 x) - 5 y + 5 z = 5 | (equation 1)
-x - 5 y + z = 17 | (equation 2)
2 x + 5 y - 3 z = -10 | (equation 3)
Subtract 1/5 × (equation 1) from equation 2:
{-(5 x) - 5 y + 5 z = 5 | (equation 1)
0 x - 4 y+0 z = 16 | (equation 2)
2 x + 5 y - 3 z = -10 | (equation 3)
Divide equation 1 by 5:
{-x - y + z = 1 | (equation 1)
0 x - 4 y+0 z = 16 | (equation 2)
2 x + 5 y - 3 z = -10 | (equation 3)
Divide equation 2 by 4:
{-x - y + z = 1 | (equation 1)
0 x - y+0 z = 4 | (equation 2)
2 x + 5 y - 3 z = -10 | (equation 3)
Add 2 × (equation 1) to equation 3:
{-x - y + z = 1 | (equation 1)
0 x - y+0 z = 4 | (equation 2)
0 x+3 y - z = -8 | (equation 3)
Swap equation 2 with equation 3:
{-x - y + z = 1 | (equation 1)
0 x+3 y - z = -8 | (equation 2)
0 x - y+0 z = 4 | (equation 3)
Add 1/3 × (equation 2) to equation 3:
{-x - y + z = 1 | (equation 1)
0 x+3 y - z = -8 | (equation 2)
0 x+0 y - z/3 = 4/3 | (equation 3)
Multiply equation 3 by 3:
{-x - y + z = 1 | (equation 1)
0 x+3 y - z = -8 | (equation 2)
0 x+0 y - z = 4 | (equation 3)
Multiply equation 3 by -1:
{-x - y + z = 1 | (equation 1)
0 x+3 y - z = -8 | (equation 2)
0 x+0 y+z = -4 | (equation 3)
Add equation 3 to equation 2:
{-x - y + z = 1 | (equation 1)
0 x+3 y+0 z = -12 | (equation 2)
0 x+0 y+z = -4 | (equation 3)
Divide equation 2 by 3:
{-x - y + z = 1 | (equation 1)
0 x+y+0 z = -4 | (equation 2)
0 x+0 y+z = -4 | (equation 3)
Add equation 2 to equation 1:
{-x + 0 y+z = -3 | (equation 1)
0 x+y+0 z = -4 | (equation 2)
0 x+0 y+z = -4 | (equation 3)
Subtract equation 3 from equation 1:
{-x+0 y+0 z = 1 | (equation 1)
0 x+y+0 z = -4 | (equation 2)
0 x+0 y+z = -4 | (equation 3)
Multiply equation 1 by -1:
{x+0 y+0 z = -1 | (equation 1)
0 x+y+0 z = -4 | (equation 2)
0 x+0 y+z = -4 | (equation 3)
Collect results:
Answer: {x = -1 , y = -4 , z = -4
which is greater ? 4.592 or 4.524
Answer:
4.592 is greater
hmm.
ok
Answer:
4.524
Step-by-step explanation:
Given that ZQRP = (2x + 20) and ZPSQ = 30°, find the value of x.
The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.
We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.
If angles QRP and PSQ are supplementary, their sum is 180°:
(2x + 20)° + 30° = 180°
Now, we can solve for x:
2x + 50 = 180
Subtract 50 from both sides:
2x = 130
Divide by 2:
x = 65
4,000 is equal to 2/5 of what number?
Answer:
False
Step-by-step explanation:
\(4000\ =\ \frac{2}{5}\)
Is really equaled to:
\(4000 = 0.4\)
Hope this helped you!
Answer:
4,000 is equal to 2/5 of 10,000
Step-by-step explanation:
I didn't feel like writing the steps so I put added a picture, hope it helps