Answers
Answer :
6.7 mm[tex] \: [/tex]
Explanation :
This is Right Angled Trian1gle.[tex] \: [/tex]
Solution :
We'll solve this using the Pythagorean Theorem.[tex] \: [/tex]
Where,
VW (9 mm) is the Hypotenuse.UV (6 mm) is the Base.UW is the Perpendicular .[tex] \: [/tex]
We know that,
[tex]{\longrightarrow \pmb{\mathbb {\qquad (UV) {}^{2} + (UW) {}^{2} =( VW) {}^{2} }}} \\ \\ [/tex]
Now, we will substitute the given values in the formula :
[tex]{\longrightarrow \pmb{\sf {\qquad (6) {}^{2} + (UW) {}^{2} =( 9) {}^{2} }}} \\ \\ [/tex]
We know that, (6)² = 36 and (9)² = 81. So,
[tex]{\longrightarrow \pmb{\sf {\qquad 36 + (UW) {}^{2} =81}}} \\ \\ [/tex]
Now, transposing 36 to the other side we get :
[tex]{\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} =81 - 36 }}} \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} = 45}}} \\ \\ [/tex]
Now, we'll take the square root of both sides to remove the square from UW :
[tex]{\longrightarrow \pmb{\sf {\qquad \sqrt{(UW) {}^{2}} = \sqrt{ 45}}}} \\ \\ [/tex]
When we take the square root of (UW)² , it becomes UW,
[tex]{\longrightarrow \pmb{\sf {\qquad UW = \sqrt{45}}}} \\ \\ [/tex]
We know that, square root of 45 is 6.708.
[tex]{\longrightarrow \pmb{\sf {\qquad UW \approx6.708}}} \\ \\ [/tex]
So,
The measure of the missing side (UW) is 6.7 mm (Rounded to nearest tenth)Related Questions
Please help
I need the lateral surface area
Answers
Answer:
[tex]la = 588 \: \: {cm}^{2} [/tex]
Step-by-step explanation:
Lateral area for trapezoidal prism:
- Is the sum of all the areas excluding the base area.
la - Lateral area
[tex]a = 20\\ b = 10 \\ c = 10 \\ d = 9 \\ l = 12[/tex]
[tex]la = al + \: bl + \: cl + \: dl[/tex]
[tex]la = l(a + \: b + \: c + \: d)[/tex]
[tex]la = 12(20 + 10 + 10 + 9)[/tex]
[tex]la = 588 \: \: {cm}^{2} [/tex]
Can someone help me with this problem
Answers
d(4.4)
hope it really helps ...!!!
Someone solve number 8 pleaseeeee
Answers
Answer:
2 cats
Step-by-step explanation:
12% of 24 = 2.88
Answer:
2 cats were adopted.
Step-by-step explanation:
When finding a percentage of something, heres a trick. Just take the number you taking the perccentage of, and mutiply it by the percentage. In this case, 24*12.
24*12 = 288.
Now take that new number and divide it by 100. Now you have your answer. In this case,
288/100 = 2.88.
Becuase these are cats, we can't have or adopt half of one XD. You can't adopt half of a cat, so we round it down to 2. Meaning, 2 cats were adopted.
a. 30
b. 86
c. 32
d. 79
Answers
Answer:
30°
Step-by-step explanation:
<KOL = <JOL - <JOK
= 58° - 28°
= 30°
CAN SOMEONE PLEASE HELP ME WITH THIS!! IMAGE BELOW
ILL GIVE YOU BRAINLIST ANSWER
Answers
 GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:
Answers
Answer:
the given picture is not clear
Write an example problem(s) for area.
Answers
Answer:
Example 1.
A square with side lengths of 5.
5*5 = 25.
So the area would be 25 units ^2
Example 2.
A rectangle with a length of 9 and a width of 4
9*4 = 36
So the area is 36 units ^2
Answer:
A square with side lengths of 5.5*5 = 25.
Step-by-step explanation:
The triangles are similar. Find the value of x.
Answers
Answer:
x = 36
Step-by-step explanation:
Remark
This can be done as a proportion. A proportion consists of 2 ratios which means it has 4 parts. If you know three of them, you can solve for the 4th.
We can use the following proportion
42/14 = x / 12 Notice that both ratios have tops and bottoms that use corresponding parts. Cross Multiply
14*x = 42 * 12 Combine the right
14x = 504 Divide by 14
x = 504/14
x = 36
Solve the equation. y 3 = –y 9 y = 1 y = 3 y = 6 y = 9
Answers
The solution of the equation is y = 3.
What is the linear equation?An equation between two variables that gives a straight line when plotted on a graph.
The solution to the equation is;
[tex]\rm y + 3 = -y + 9\\\\y+y=9-3\\\\2y=6\\\\y=\dfrac{6}{2}\\\\y=3[/tex]
Hence, the solution of the equation is y = 3.
To know more about linear equations click the link given below.
https://brainly.com/question/14824234
find the area of the composite figure
Answers
Answer:
74 in²
Step-by-step explanation:
The easiest way to find the area is to imagine the rectangle as a whole rectangle, then subtract the area of the empty space.
The area of the whole rectangle can be found with:
A = b · h
A = 9 in · 11 in
A = 99 in²
So the area of the entire rectangle (with the empty space included) is 99 in².
In order to find the area of the composite figure, you need to subtract the area of the empty space, which can be found with:
A = b · h
A = 5 in · h
In order to find the height of the empty space, we can take the whole side (11 in) and subtract the values already there (4 in and 2 in).
11 in - (4 in + 2 in) = 5 in
So the height is 5 in:
A = 5 in · 5 in
A = 25 in²
The area of the composite figure is:
A = 99 in² - 25 in²
A = 74 in²
Answer:
Answer:74 in^2Step-by-step explanation:
My in-head skip solutioning method...:
the 4, 5__2,9___4,4,2__=10in.___5,4__=9in.
......__74
What is the percent of increase from 4.2 to 9.5?
Answers
Answer:
126.19%
Step-by-step explanation:
Ms. Lawrence had $550 in her bank account. The next day she withdrew $120 to buy groceries. She deposited $200 two days later. Four days later she used her debit card to buy new shoes that cost $89. What was her bank account balance after these transactions? O A $541.00 O B $630.00 O c $430,00 D $670.00
Answers
option A
hope it really helps...!!!
Quadratic Functions - Part 2
Graphing Quadratic Functions Using Vertex Form - Part 1
Independence Practice
1. Identify the vertex, complete the table and graph g(x) = (x – 4)^2 – 5.
2. Identify the vertex, complete the table and graph h(x) = (x + 1)^2 + 4.
Answers
Answer:
h(x) = (x + 1)^2 + 4/ 23+40 =49
Step-by-step explanation:
The step by step is on papamath.com
Which quadratic function is represented by the graph?
Answers
Answer:
f(x) = -5(x+1)(x-5)
Step-by-step explanation:
Because the x-axis of the arch is 1 and -5 and it couldn't be -1/5 because the y-axis doesn't show that.
g(n) = 4n+ 3
f(n) =n +4
Find -5g (9) + 5f (9)
Answers
Answer: -130
Step-by-step explanation:
GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:
Answers
Answer:
30
Step-by-step explanation:
Perimeter of parallelogram = 70 ft
-> 2x + 2y = 70 .....(1)
x = 6y (Given) .....(2)
From equations (1) & (2)
2(6y) + 2y = 70
12y + 2y = 70
14y = 70
y = 70/14
y = 5
-> x = 6*5
-> x =30
This shape is called parallelogram.
perimeter : 2(base + height)
Identify the base and height
base : x ≈ 6(y) [ as x is 6 times as large as y ]
height : y
====================================
2(base + height) = perimeter2(6(y) + y) = 70 2(7y) = 707y = 35 [ divide both sides by 7 ]y = 5Find x:
x ≈ 6(y)x ≈ 6(5)x = 30An urn of boiling water in an office has a capacity of 20litres. If it filled to maximum capacity, calculate the number of 250ml cups that can be shared from it.
Answers
The is a picture show all details and work
(triangles)
Answers
Answer:
x: 8.75
y: 8.5
Step-by-step explanation:
Since the two triangles are similar, you can find the scale of LJK relevant to TRS by dividing 7/4 = 1.75
This means each side of LJK is 1.75 times greater than the respective side of TRS
Now you can plug this in to the other two sides by doing 5*1.75=8.75 and 6*1.75=10.5
This solves x, but since side LK is y+2, y is 10.5-2=8.5
x=8.75
y=8.5
Felipe received a $15.25 gift card for a photo center. He used it to buy prints that cost 6 cents each. The remaining balance, B (in dollars), on the card after
buying x prints is given by the following
B = 15.25 -0.06x
What is the remaining balance on the card if Felipe bought 50 prints?
Can anyone help me ?
Answers
Answer:
12.25
Step-by-step explanation:
B = 15.25 -0.06x
B = 15.25 -0.06(50)
B = 12.25
pls help answer
i dont not need explaination
:)
Answers
Answer:
165 km²
Step-by-step explanation:
First, let us find the area of the big rectangle.
Area = length × Width
Area = 15km × 13 km
Area = 195 km²
Now, let us find the area of the small rectangle.
Area = length × width
Area = 6 km × 5 km
Area = 30 km²
And now, let us find the area of the shaded region.
For that, we have to subtract the area of the small rectangle from the area of the big rectangle.
Area = 195 km² - 30 km²
Area = 165 km²
A company is promoting two employees to the director and manger roles. If there are currently 35 employees, how many ways can those positions be filled?
1785
1190
595
270
Answers
Answer:
595
Step-by-step explanation:
2 positions for 35 employees.
[tex]C(n) = (\frac{n}{k}) = \frac{n!}{(k!(n-k)!)}[/tex]
Where n = 35, total number of employees and k = 2, how many spots available
[tex]\frac{35}{2} = \frac{35!}{2!(n-k)!} = \frac{35*34}{2 * 1} = 595[/tex]
Answer:
595
Step-by-step explanation:
two children want to share 5 cupcakes so that each child gets the same amount. How many cupcakes should each child get
Answers
Answer:
2.5
Step-by-step explanation:
5 divided by 2 equals 2.5
40x40x40 divided by 6 Help me pls
Answers
Answer:
the answer is 10666.6666667.
Step-by-step explanation:
40*40*40=64000
64000/ 6=10666.6666667
I NEED THIS ASAP
five doctors are selected at random from a hospital employing 27 doctors to fill out a question
*WILL GIVE BRAINLIEST
Answers
Answer:
See below
Step-by-step explanation:
There are 27 C 5 ways to choose 5 doctors from 27
= 27 ! /(22! 5!) = 80730 ways to choose 5
This is a COMBINATION.
Answer: Combination
Step-by-step explanation: It has no order of selection. It is random and can't be paired like permutation.
Compare with another response
What is 11 in x 17 in (7.7 in x 23) in
Answers
33117.7 in is the answer I believe…
Answer:
33117.7
Step-by-step explanation:
33117.7 is the perfect answer
Factor the expression 4+28x using the GCF
Answers
Answer:
4(1+7x)
Step-by-step explanation:
There are 2 terms in this expression: Factorize them
4: 2 * 2
28x: 2 * 2 * 7 * [tex]x[/tex]
Which factors do both of the terms have in common?
2 and 2, which means that the GCF is 4.
Now to figure out whats inside the parentheses.
What number multiplied by 4 gives 4? 1
What number multiplied by 28x gives 4? 7x
So the final result is 4(1+7x)
can you answer it pls and by the way i am in 5th grade
Answers
Step-by-step explanation:
3×3 = 9, so it's greater than 3
3×4/3 = 4, so it's greater than 3
3×5/5 = 3, so it's equal to 3
3x4/9 = 4/3, so it's less than 3
3x5/6 = 5/2, so it's less than 3
Find m < RQP
A) 70°
B) 55°
C) 80°
D) 90°
Answers
Answer:
The answer is 70
Step-by-step explanation:
This is an inscribed angle, and acording to the inscribed angle therom, the ? is 1/2 the measure of it ark.
So divide the ark measure (140 degrees) by 2
and you get 70 as your answer
Hope this helps!! (ɔ◔‿◔)ɔ ♥
HELPPPP HEL-P MEE ME
Answers
Answer:
208
Step-by-step explanation:
the formula is:
2*(width*lenght+height*lenght+height*width)
2*(6*8+4*8+4*6)
208
Answer:
208 m²[tex] \: [/tex]
Step-by-step explanation:
In the given figure, it is given a net of cuboid where, the length is 8m, the breadth is 6m and the height is 4m and we have to find the surface area of the cuboid.
So, the formula for finding the surface area is ;
[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Surface\: area_{(cuboid)}=2(lb + bh + lh )}}}}}} \: \: \bigstar \\ \\[/tex]
Now, we'll substitute the values in the formula :
[tex]\\{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(8.6 + 6.4 + 8.4 }}}}}}) \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(48 + 24 + 32 }}}}}}) \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(104 }}}}}}) \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ { \pmb{ \frak{ { \: Surface\: area_{(cuboid)}=208 }}}}}}\: \: \\ \\[/tex]
Therefore,
The surface area of the cuboid is 208m²PLEASE HELP WILL MARK BRAINLIST
The line y = 3x +2 is dilated by a scale factor of 2 centered at the origin. Which equation represents the image of the line after the dilation?
y=6x+4
y=2x+2
y=3x+9
y=3x+4
Answers
Answer:
y=6x+4
Step-by-step explanation: