Given:
In a right angle triangle, the measures of two legs are 5 ft and 5.6 ft. The measure of the hypotenuse is x.
To find:
The value of x.
Solution:
Pythagoras theorem: In a right angle triangle,
[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]
Using Pythagoras theorem, we get
[tex](x)^2=(5)^2+(5.6)^2[/tex]
[tex]x^2=25+31.36[/tex]
[tex]x^2=56.36[/tex]
Taking square root on both sides, we get
[tex]x=\sqrt{56.36}[/tex]
[tex]x=7.50733[/tex]
[tex]x\approx 7.5[/tex]
The measure of missing side is 7.5 ft. Therefore, the correct option is D.
what additional information is needed to prove the triangles congruent by AAS
Answer:
pq=su
Step-by-step explanation:
its the only one that makes sense
Product of additive identity and multiplicative identity of -1/2 is
Answer:
1
Step-by-step explanation:
additive identity =1/2
multiplicative =2
Product = 1/2*2
So the answer is 1
Which are correct representations of the inequality –3(2x-5) <5(2 - x)? Select two options.
u x<5
. -6x-5 < 10 - X
0 -6x + 15 <10 - 5x
-3
--2
-1
0
2
3
5
to
6
7
-7
1-6
-5
-3 -2 -1 0
2
3
Answer:
Step-by-step explanation:
-6 and up going left
make q subject in formula
t=q/2 + 5
Answer:
[tex] q = 2(t - 5) [/tex]
Step-by-step explanation:
[tex]t = \frac{q}{2} + 5 \\ \\ t - 5 = \frac{q}{2} \\ 2(t - 5) = q[/tex]
hope this helps you.
Have a nice day!
Answer:
2 ( t - 5 ) = q
Step-by-step explanation:
t = q/2 + 5subtract 5 from both side
t - 5 = q / 2 + 5 - 5t - 5 = q / 2multiply each side by 2.
2 × ( t - 5 ) = q / 2 × 22 ( t - 5 ) = qAt 6 a.m., the temperature was –8°C. By noon, the temperature had risen 6°C. The temperature at 6 p.m. was –10°C. Which integer represents the temperature change between noon and 6 p.m.?
–24
–12
–8
–4
Answer:
-8
Step-by-step explanation:
so -8 + 6 = -2. and then for that to drop to -10, it would have to change -8 degrees
Answer:
Step-by-step explanation:
-8 is the answer
I need answer for number 8 please no links and the right answer thank youuu
Answer:
y = 2/5x - 4
Step-by-step explanation:
y = mx+b where m is the slope and b is the y intercept
y = 2/5x - 4
Given m || n, find the value of x and y
Step-by-step explanation:
5x-6+7x+18=180
12x=180+6-18
12x=168
168÷12=14
X=14
for y
3y+11=7x+18(7×14+18)
3y+11=116
3y=116-11
3y=105
y= 35
Put these numbers in order from least to greatest.
1/5, 0.78,0.71, and 0.63
Answer:
1/5, 0.63, 0.71, 0.78
Step-by-step explanation:
1/5 = 0.2
You and your friends decide to go to the recreation center to play pickup basketball. You decide to play the game 21 where a layup equals 1 point and a jump shot equals two points. You made 11 layups and need to decide how many jump shots you need to make in order to win… Remember that you must not go over 21 points or you lose.
Answer:
5 jump shots.
Step-by-step explanation:
Let l = number of layups and j = number of jump shots
l + 2j = 21
11 + 2j = 21
2j = 10
j = 5
5 jump shots are needed to win the game and not go over 21 points.
round 0.982 to 2 decimal places
Answer:
0.98
Step-by-step explanation:
0.982,0.98()2 (round up if 5+ down 4-) 0.98
The number 0.982 rounded of to two decimal places will be 0.98.
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
The digit 5 acts as a limit.
if the right-sided digit to the digit where we've to round off is < 5, we keep it the same and make all right-sided values 0, and if the right-sided digit is > 5, then we make it increase by 1, and the rest of the right-sided digits become 0. If the digit on right is 5, and after it, there are only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)
Since the given number is 0.982, and in this number the thousandth place is taken by 2, therefore, the number when rounded off will be equal to 0.98.
Hence, the number 0.982 rounded of to two decimal places will be 0.98.
Learn more about Rounding Numbers here:
https://brainly.com/question/1285054
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Please help will give branliest
Answer:
ok
8^7*512/262144=4096
8^4=4096
?=4
Your Welcome
BIFFY OUT!!!
8 less than a number x is more than 5 times that same number.
Answer:
x < -1/2
Step-by-step explanation:
x - 8 > 5x
-8 > 5x -x
-8 > 4x
Divide through by 8
-1/2 > x or x < -1/2.
That is ofcourse if I interpreted the first part correctly.
Please help if you can!
Answer:
D: 78 ft2
Step-by-step explanation:
6x13=78
Answer:
Rectangle
Result
Area = l × w
= 13 × 6
= 78 feet2
Step-by-step explanation:
#Brainliestbunch
find the inverse function
Answer
[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]
Step by step
[tex]y = \frac{2x}{5} + 2[/tex]
Swap roles of x and y
[tex]x = \frac{2}{5} y + 2[/tex]
Then
[tex]5x = 2y + 10[/tex]
So
[tex]2y = 5x - 10[/tex]
Hence
[tex]y = \frac{5}{2} x - 5[/tex]
Therefore
[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]
please help find x!!
Answer:
X= 360- (180+35)
X= 145
Step-by-step explanation:
since angle at a point is same as angle in a circle =360°
And we've being given two values out of three that makes up the point. so we subtract the sum of the two values from the size of angle at a point
True or false question. In Standard form, the number 3.5 *10^4 is 3,500.
Answer: False
Step-by-step explanation:
10^4=10000. 10000*3,5=35000.
Answer:
No, you missed a zero.
Step-by-step explanation:
In the given case, as we have the number as
3.5 × 10^4, we need to move decimal digit to the right by three points. For this, let us write 3.5 as 3.50000 and moving decimal point four points to right means
35000.0
Hence in standard notation
3.5 × 10^4=35,000
Lacy got a $100 gift card to an online clothing store. She
uses the gift card to buy a pair of pants for $19.99. She
also wants to use the gift card to buy some shirts. Each
shirt costs $11.69.
Which of these inequalities describes this situation, where
n is the number of shirts Lacy wants to buy?
Answer:
80.01>11.69n
Explanation:
100-19.99=80.01
she has 80.01 dollars to spend on shirts. The shirts are 11.69 with n being the number of shirts. we have to take off 19.99 because she bought the pants so the total has to be less then 80.
someone help tysm will give brainliest !!
Answer:
11. A) x = 2 . B) x=-1 . C) x = 0
12. A) y = 20 . C) y = -3 . D) y = 0
Step-by-step explanation:
When the line is vertical, take the x coordinate
When the line is horizontal, take the y coordinate
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Pleaseee HELP ASAP !!!
Answer:
A: (x-5.5)^2 + (y-4)^2=12.25
Step-by-step explanation:
What I Can Do
Construet an appropriate graph for the Charity donations of each grade level in a high school:
Answer:
You should have a graph that has the words on the y axis Grade 7 Grade 8 Grade 9 and Grade 10 on each differnt line. Than put the number corosponding to the grade on each line, making the graph rise up and down.
Step-by-step explanation:
Can't make one.
PLEASE HELP ME 50 PTS and i'll give brainliest please help me this is the video they game me to do this hw but I still don't understand it https://youtu.be/7Uos1ED3KHI
1.) 70x/100x^2 = 7/10x
2.) 16x^3/24x = 2x^2/3
3.) 7x(2x+1)/21(2x+1) = x/3
4.) 35x - 35/x^2 - 1 = 35/x + 1
5.) x + 7/x^2 + 4x - 21 = 1/x - 3
6.) x^2 - 6x + 5 = x - 5/5
7.) x^2 - 36/x^2 - 3x - 18 = x + 6/x + 3
8.) x^2 - 3x - 10/x^2 + x - 2 = x - 5/x - 1
help meee it's pythagorean theorem, just need answers plsssssss
Answer:
Hi, there your answer is C or D and the second page is C
Step-by-step explanation:
Find the area of a regular Heptagon with a side length of 7?
Answer:
[tex]seven \: sides \\ area = (7 \times 7) \\ = 49 \: sq \: units[/tex]
enlarge the triangle by a scale factor of -1.5 with centre of englargement (3,6)
The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3), B'(x, y) = (3, 3) and C'(x, y) = (6, 0).
How to enlarge a triangle on a Cartesian plane by rigid transformation
In this problem we find a triangle whose vertices have the following coordinates: A(x, y) = (1, 8), B(x, y) = (3, 8), C(x, y) = (1, 10), and we are asked to enlarge the triangle by a scale factor of - 1.5 and with a centre of enlargement at (3, 6). Please notice that the negative sign of the scale factor involves both enlargement and reflection. Then, the operation can be done by the following operation:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)] (1)
Where:
O(x, y) - Center of enlargementk - Scale factorP(x, y) - Original pointP'(x, y) - Resulting pointIf we know that O(x, y) = (3, 6), k = - 1.5, A(x, y) = (1, 8), B(x, y) = (3, 8) and C(x, y) = (1, 10), then the coordinates of the resulting expression:
A'(x, y) = (3, 6) + (- 1.5) · [(1, 8) - (3, 6)]
A'(x, y) = (3, 6) + (- 1.5) · (- 2, 2)
A'(x, y) = (3, 6) + (3, - 3)
A'(x, y) = (6, 3)
B'(x, y) = (3, 6) + (- 1.5) · [(3, 8) - (3, 6)]
B'(x, y) = (3, 6) + (- 1.5) · (0, 2)
B'(x, y) = (3, 6) + (0, - 3)
B'(x, y) = (3, 3)
C'(x, y) = (3, 6) + (- 1.5) · [(1, 10) - (3, 6)]
C'(x, y) = (3, 6) + (- 1.5) · (- 2, 4)
C'(x, y) = (3, 6) + (3, - 6)
C'(x, y) = (6, 0)
The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3), B'(x, y) = (3, 3) and C'(x, y) = (6, 0).
To learn more on rigid transformations: https://brainly.com/question/1761538
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A community is building a square park with sides that measure 110 meters. To separate the picnic area from the play area, the park is split by a diagonal line from the opposite corners Determine the approximate length of the diagonal line that splits the square.
Answer:
155.56 m
Step-by-step explanation:
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√110² + 110²
Select all of the following that are equivalent to 1/10,000
A (10,000)^-1
B(-10,000)
C(100)^-2
D(10)^-4
E(-10)^2
D.( 10 )^-4
This is the answer of your question
hope it is helpful to you
Marcus wants to end the semester with at least an 85 test average in his math class. On his first 3 tests, he earned 83, 97, and 80. What will he have to earn on his fourth test to have at least an 85 average? Let g represent the grade needed on his fourth test. Write an inequality that models the situation.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{83+97+80+g}{4} \geq 85[/tex]
»»————- ★ ————-««
Here’s why:
The average is found by dividing the sum of the values by the number of values.⸻⸻⸻⸻
[tex]\frac{83+97+80+g}{4} \geq 85[/tex]
⸻⸻⸻⸻
The numerator would consist of the test grades and the unknown 'g' and the denominator would be the number of tests he taken.
"At least" indicates a greater than or equal to inequality.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the slope of the line shown?
Answer:
The slope of the line show is always writen in the form of rise/ run or y/x. Bassically the answer should look like a fraction. In this case, the slope of the line is 1/2. Graphing points on the line always make this process eaiser. From one point to another measure the rise/run or y/x and that will be your slope. Here the line rises one point and runs 2. The slope of the line is positive because it slants right in quadrant one of the graph.
Step-by-step explanation:
Find the slope of the line that passes through (10, 4) and (6, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope of the line that pass through the points (10, 4), and (6, 3) is 1/4
Step-by-step explanation:
The given points son the line are; (10, 4), and (6, 3)
The slope of a line is the rate of change of the y-values of the line relative to the x-values of the given line and the slope. 'm', can therefore be found by specifying two points on the line, (x₁, y₁), and (x₂, y₂), from which we get;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, the slope of the found line is given as follows;
(x₁, y₁) = (10, 4) and (x₂, y₂) = (6, 3)
[tex]Slope \ of \ the \ line, \, m =\dfrac{3-4}{6-10} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]
The slope of the line that pass through the points (10, 4), and (6, 3), m = 1/4
Andy £9500 Bevan £25000 Cheryl £13250 Deva £75000 Elliott £12750 Frankie £29500 Grace £11000 a) Work out the mean income to 2 DP. b) Deva was given a large bonus for 30 years service. Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
a. £25142.86
b. £16833.33
Step-by-step explanation:
According to the Question,
Given, The Salary Of 7 People in An Office are,
Andy ⇒ £9500
Bevan ⇒ £25000
Cheryl ⇒ £13250
Deva ⇒ £75000
Elliott ⇒ £12750
Frankie ⇒ £29500
Grace ⇒ £11000
a. The mean income = Total Sum of Salaries ÷ Number of Workers
Mean = (9500+25000+13250+75000+12750+29500+11000) ÷ 7
Mean = 176000 / 7 ⇒ £25142.86
b. Now, The Mean income After Excluding Deva's Salary is,
Mean = (9500+25000+13250+12750+29500+11000) ÷ 6
Mean = 101000 / 6 ⇒ £16833.33