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In the lower triangle, one of the angles of which is 45 degrees, we know:
In the triangle, the side facing the angle 45° is √2 / 2 times the hypothenuse.
Thus ;
[tex]10 = hypothenuse \times \frac{ \sqrt{2} }{2} \\ [/tex]
[tex]hypothenuse \times \frac{ \sqrt{2} }{2} = 10 \\ [/tex]
Multiply sides by 2
[tex]hypothenuse \times \sqrt{2} = 2 \times 10[/tex]
Divide sides by √2
[tex]hypothenuse = \frac{2 \times 10}{ \sqrt{2} } \\ [/tex]
[tex]hypothenuse = \frac{ \sqrt{2} \times \sqrt{2} \times 10 }{ \sqrt{2} } \\ [/tex]
[tex]hypothenuse = 10 \sqrt{2} [/tex]
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The common side of the triangles is hypothenuse for both.
[tex]hypothenuse \times \cos(60) = x[/tex]
[tex]10 \sqrt{2} \times \frac{1}{2} = x \\ [/tex]
[tex]x = \frac{2 \times 5 \sqrt{2} }{2} \\ [/tex]
[tex]x = 5 \sqrt{2} [/tex]
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The correct answer is the Third Option .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A contestant on the Biggest Loser tv show started at 380 lbs. When the show ended, the contestant weighed 225 lbs. What was the contestants percent decrease?
Answer:40.789%
Step-by-step explanation:
380-225=155
155/380=0.40789 or 40.789%
6
4.
2
74-22
2
4-
6
Slope
Which ratio is equivalent to 10:2
Answer:
5:1
Step-by-step explanation:
The ratio 10: 2 will be equivalent to ratios 20:4, 30:6, 40:8, and 50:10. Then all the options are correct.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The equivalent is the expression that is in different forms but is equal to the same value.
The ratio is given below.
Ratio = 10 / 2
Multiply and divide the ratio by 2. Then we have
Ratio = 10 x 2 / 2 x 2
Ratio = 20 / 4
Multiply and divide the ratio by 3. Then we have
Ratio = 10 x 3 / 2 x 3
Ratio = 30 / 6
Multiply and divide the ratio by 4. Then we have
Ratio = 10 x 4 / 2 x 4
Ratio = 40 / 8
Multiply and divide the ratio by 5. Then we have
Ratio = 10 x 5 / 2 x 5
Ratio = 50 / 10
The ratio 10: 2 will be equivalent to ratios 20:4, 30:6, 40:8, and 50:10. Then all the options are correct.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
The missing options are given below.
20:4
30:6
40:8
50:10
What is a pre-image?
Answer:
an image before the image your seeing
Step-by-step explanation:
Janet answered 4 out of 5 correctly on her test. What percent of the questions did she answer
correctly?
Answer:
80%
Step-by-step explanation:
you divide 4 and 5. Which equals 80
Answer:
80%
Step-by-step explanation:
Which subtraction expression
has the difference 1 + 4i?
O (-2+ 6i) - (1 - 2i)
O (-2+ 6i) - (1 - 2i)
O (3 + 5i) - (2 - i)
O (3 + 5i) - (2 + i)
Answer: d, (3+5i)-(2+i)
Step-by-step explanation:
i’m smart
The subtraction expression that has the difference 1 + 4i is (3 + 5i) - (2 + i).
Option D is the correct answer.
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 find the difference 1 + 4i by subtracting the complex numbers in each expression and checking which one gives us the result of 1 + 4i.
Let's start with option (a):
(-2 + 6i) - (1 - 2i) = -2 + 6i - 1 + 2i = -3 + 8i
This is not equal to 1 + 4i, so option (a) is not the correct answer.
Let's move on to option (b):
(-2 + 6i) - (1 - 2i) = -2 + 6i - 1 + 2i = -3 + 8i
We have already seen this expression and it is not equal to 1 + 4i. Therefore, option (b) is also not the correct answer.
Let's move on to option (c):
(3 + 5i) - (2 - i) = 3 + 5i - 2 + i = 1 + 6i
This is not equal to 1 + 4i, so option (c) is not the correct answer.
Finally, we have the option (d):
(3 + 5i) - (2 + i) = 3 + 5i - 2 - i = 1 + 4i
This is equal to 1 + 4i.
Thus,
The subtraction expression that has the difference 1 + 4i is (3 + 5i) - (2 + i).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
Using bangle side relationship theorem use the angle measures to list the side lengths of the triangle in order from longest to shortest
Answer:
AC= longest side
BC=middle side
AB=shortest side
Step-by-step explanation:
there is 180 degrees in a triangle, therefore
95+50=145
180-145=35
so we have angles 95, 50, 30
and we know that the side opposites with the angle corresponds to how big the side will be compared to the other sides
Therefore,
AC= longest side
BC=middle side
AB=shortest side
Consider the equation y = 3x - 1. Identify the slope and y-intercept and
sketch the graph.
can you guys help me pleasee ?
Answer: slope=3
y intercept :(0, -1)
Step-by-step explanation:Use the slope-intercept form to find the slope and y-intercept
how do you divde fractions with whole numbers with gemdas
Example: 3/4 x 7
3 7
x
4 1
You multiply 3 and 7 to get 21.
Then multiply 4 and 1 to get 4.
Now you have 21/4.
Finally, you simplify.
5 1/4
hope it helps! :3
Benny went to his local zoo that featured 6 lion exhibits. If these lion exhibits make up 25% of the zoo's exhibits, then how many exhibits does the zoo have in total?
Answer:
24
Step-by-step explanation:
if 6 exhibits are 25% of the entire zoo. You would need four times that amount to get the total number of exhibits because 25% × 4 = 100%. So, if you multiply 6 × 4 the total number of exhibits would be 24.
what is 6.85 times 2 times 10?
Answer:
137
Step-by-step explanation:
:)
Rotate AXYZ 270° about the origin, (0,0).
Answer:
The rule for a rotation by 270° about the origin is (x,y)→(y,−x) .
does anybody even understand algebra?
Answer:
I do not understand thank you for asking
Step-by-step explanation:
thank you
Answer:
B (2,22)
Step-by-step explanation:
EASY POINTS Y'ALL!!!!
Answer:
subtracting 18 from both sides isolate the variable term
Is 10, 24, and 13 a Pythagorean triple?
A. yes
B. cannot tell
C. no
Answer:
C. no
Step-by-step explanation:
In the equation 0.5x-8=1.5 the decimal coefficient is
Answer:-9.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
The coefficient is the number that multiply the variable, in this case x.
Find the range of the function f(x) = 3x - 2, given the domain {-4, 0, 4}
Answer:
{-14, -2, 10}
Step-by-step explanation:
To find the range, you can use all the domain values and find the output.
f(-4) = 3(-4) - 2
f(-4) = -12 - 2
f(-4) = -14
f(0) = 3(0) - 2
f(0) = 0 - 2
f(0) = -2
f(4) = 3(4) - 2
f(4) = 12 - 2
f(4) = 10
Best of Luck!
Answer:
{-14, -2, 10 }
Step-by-step explanation:
someone please help
What is the solution to the system of equations below?
4x + 8y = 24
12y = 4x - 30
Answer:
(33/5 , -3/10)
Step-by-step explanation:
Find the distance between A and B
Answer:
The distance between A and B is 2.6
Step-by-step explanation:
We know that there are 2 whole numbers from -1 to 0 and 0 to 1. Then we can add the 0.3 from both sides. 0.3 plus 0.3 is 0.6.
I hope this helped and if it did I would appreciate it if you marked me brainliest, thank you and have a nice
day
Answer:
27 cm or 2in and 6cm!
Step-by-step explanation:
count the lines.
2divided by 1/2
A. 2
B. 16
C. 8
D. 4
Answer:
It's letter D. It's four.
add (4x^2-xy-y^2) and (x^2+5xy+8y^2) simplify your answer:
Answer:
To find a, b, and c, rewrite in the standard form ax2+bx+c=0ax2+bx+c=0.
a=1, b=3, c=0
Answer:
4x^2-4xy-3\frac{y^2}{2}x^2-5xy-3y^2 is 2
−3x^2 y^2 +8x^2 −18xy−6y^2
Step-by-step explanation:
a. Each day, your teacher randomly calls on 5 students in your class of 30. What is the
probability you will be called on today?
Answer:
The probality is 5/30 or in simpliest form it is 1/6!
Step-by-step explanation:
Hope this helps! Plz give me brainliest
5÷4/9 help mee :_<<<<<<
Answer:
45/4 I think
Step-by-step explanation:
you would do keep flip switch
so 5 would be 5/1, flip 4/9 to become 9/4 then multiply 5/1 by 9/4
hopefully this helps you
Answer:
5 divided by 4/9 equals 45/4, or 11.25
Step-by-step explanation:
Calculate the rise and run to find the slope of each line
Answer:
Step-by-step explanation:10
Answer:
1) slope m=-4
2) slope m=-5/4
3) slope m=1
4) slope m=-2
5) slope m=3/5
6) slope m=5/8
Step-by-step explanation:
Slope equation: m=y2-y1/x2-x1
With our slope equation can get just use the graph and choose two points that the line crosses over.
Question 1 example) I chose points (0,-3) as my x1, y1, and point (1,-1) as my x2, y2. I plugged the numbers into the equation and got -1-3/1-0=-4. Which is why our slope is -4
The rest of the questions follow the same concept of Finding two points, decide which one is your x1, y1 and which one is you x2, y2 (does not matter which one you associate with each point), plug the numbers in, and calculate the slope.
(I may be wrong because the graph is a little blurry)
Hope this helps you
Vicky records the low temperature for three consecutive days. Between the first and second days the temperature increased 6 degrees. Between the second and third days the temperature decreased 3 degrees. On the third day the low temperature was –6º. What was the low temperature on the first day?
Answer:
3
Step-by-step explanation:
-6+6=0
Plus the 3
Your answer is 3
Answer:
-3 or 3
Step-by-step explanation:
solve for x: -5|x + 1| = 10
Answer:
x=-3
Step-by-step explanation:
-5(x+1)=10
-5x-5=10
-5x= 15
x=-3
Your job is to sort and stack marblesfor sale. A bag contains 44 marbles, and some green. If there are 11 red marbles, what is the ratio of green to red marbles
Answer:
3 : 1
Step-by-step explanation:
Given that :
Total Marbles in bag = 44
Color of marbles in bag : red, green
Number of red marbles = 11
The ratio of green to red marbles :
Number of green marbles :
(Total marbles in bag - number of red marbles)
(44 - 11) = 33 green marbles
Hence, ratio of green to red Marbles:
Number of green marbles : number of red marbles
33 : 11
3 : 1
Answer:
The correct answer is 2:1.
Step-by-step explanation:
I did the K12 assignment and is said this was the right answer.
determine the angle of x :p
Answer:
x=-10 I think?? because they are congruent
Avery and Nolan's baseball teams are fundraising. Avery's team has reached ⅗ of their goal. Nolan's team has reached 5/9 of their goal. Avery says her team collected more money than Nolan's team. Both of the goals are $450. Is Avery correct?
Answer:
Yes , Avery is correct
Step-by-step explanation:
To check if Avery is correct, we need to know the exact value obtained in each of their goals
For Avery’s team;
3/5 * 450 = $270
For Nolan’s team
5/9 * 450 = $250
Since $270 is greater than $250, we can see that Avery’s team collected more money
What is the y-intercept of f(x)
= (3/5)^x?
Answer:
(0,1)
Step-by-step explanation:
its right