Answers
Answer:
x = 14[tex]\sqrt{2}[/tex]
y = 14
z= 14[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.
Related Questions
i don’t understand how to do this 3a + 7 + 2(3 +a)
Answers
Answer:
5a+13
Step-by-step explanation:
The table of ordered pairs shows the coordinates of the two points on the
graph of a function. Which equation describes the function?
Answers
Answer:
[tex]y=\frac{-1}{2} x+1[/tex]
Step-by-step explanation:
In this case , we'll have to carry out several steps to find the solution.
Step 01:
Data
x y
-2 2
4 -1
Equation of the line =?
Step 02:
Equation of the line
Slope formula:
[tex]m=\frac{y2-y1}{x2-x1} =\frac{-1-(2)}{4-(-2)}=\frac{-3}{4+2} =\frac{-3}{6} =\frac{-1}{2}[/tex]
Point-slope form of the line
[tex](y-y1)=m(x-x1)[/tex]
[tex](y-2) =\frac{-1}{2}(x-(-2))\\y=\frac{-1}{2} x-\frac{2}{2}+2\\y=\frac{-1}{2}x-1 +2\\\\y=\frac{-1}{2} x+1[/tex]
The answer is:
The equation of the line is [tex]y=\frac{-1}{2} x+1[/tex]
PLEASE MARK ME AS BRAINLIEST
Can someone please explain slope in a way that might make sense.
Answers
The slope of an equation or graph is the rate of change.
In order to find slope, we use the formula m=rise/run or m=y2-y1/x2-x1
“m” is equal to the slope
“rise” or “y2-y1” is the difference (subtraction) of the two y coordinates
“run” or “x2-x1” is the difference (subtraction) of the two x coordinates
Remember, the points we are using for this example are (4, 1) and (-2, 7)
m = y2-y1/x2-x1
m = 7-1/-2-4
1 and 7 are your y coordinates so you plug them in an find the difference (subtraction)
4 and -2 are your x coordinates so you plug them in an find the difference (subtraction)
It doesn’t matter whether you do “m=7-1/-2-4” or “m=1-7/4-(-2)” both will have the same answer
The only thing you can’t do is something like “m=7-1/4-(-2)” or “m=1-7/-2-4”
The bottom can’t be solved in the opposite way of how it was solved on top and vice versa of that makes sense
Also, keep in mind that if you see two negatives as in the “m=1-7/4-(-2)” example, you turn it into an addition symbol
Like this:
“m=1-7/4+2)”
Because two negatives are equal to a positive
m = y2-y1/x2-x1
m = 7-1/-2-4
m = 6/-6
m = 6/-6
m = -1
Remember that a negative divided by a positive is always a negative so it doesn’t matter where you place the negative sign
For example, if your slope was 2/-5, that would be the same as -2/5
And when you divide two negatives, it always equals to a positive
For example -2/-5 would simplify to 2/5
I hope that helped and made sense :)
Plz help I will name you brainliest plz and thank you
Answers
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Simplify expression: 6 - 36 - 3 = 3Look at screenshot belowI hope this helps!
double s, then multiply t by the result
*INCLUDE ANY PARENTHESES OR MULTIPLICATION SYMBOLS IF NEEDED!!!!*
Answers
Find the value of x
?????
Answers
Answer:
2x+57°+x=180 ( angle sum property of triangle)
3x=123
x=41
What percent of offspring will be blue eyed?
0%
25%
50%
100%
Please I need help
Answers
Answer:
I believe the answer is 0% because the blue eye trait is recessive.
Step-by-step explanation:
Hope this helps!
✧◝(⁰▿⁰)◜✧
Answer:
25%
Step-by-step explanation:
blue eyes are the resesive gene but there is still a 25% chance.
Can you help me -3-
only the first problem (a)
Answers
Answer: -18
Step-by-step explanation:
Turn 2 1/4 into an improper fraction --> 9/4
Now the expression is:
9/4 x -8
Multiply 9 x -8 and that gives you -72...
Then, divide 4 from -72 which is -18!
Hope that helped!
The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)
Answers
Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else
Step-by-step explanation:
What’s the ANSEWR to this
Answers
Answer:
20.25
Step-by-step explanation:
i think its asking for the long side
the pythagorean theorem states that in a right triangle a^2+b^2=c^2
a is 19
b is 7
c is the long side
19^2= 361
6^2= 49
361+49=410
410 =c^2
square root of 410 = ~20.25
Answer:
[tex]hypotenuse = \sqrt{ {19}^{2} + {7}^{2}} \\ = \sqrt{361 + 49} = \sqrt{410} \\ = 20.25[/tex]
20.25 is the right answer.
Find the area of a trapezium is 4cm 4cm, 7cm
Answers
Step-by-step explanation:
1/2×(4+7)×4
1/2×11×4
11×2
22cm2
Write the function a a product of linear factor by grouping or using the x method or a combination of both
g(x) = x2 - 9
Answers
[tex]\boxed{\boxed{\pink{\sf Option \ A \ is \ correct .}}}[/tex]
Step-by-step explanation:Given function to us is :-
[tex]\bf \implies g(x) = x^2 - 9 [/tex]
And we , need to write the function a a product of linear factor by grouping or using the x method or a combination of both . So let's factorise this ,
[tex]\bf \implies g(x) = x^2 - 9 \\\\\bf\implies g(x) = x^2-3^2\\\\\bf\implies \boxed{\red{\bf g(x) = (x+3)(x-3) }}\:\:\bigg\lgroup \blue{\tt Using \ (a+b)(a-b) \ = a^2-b^2 }\bigg\rgroup [/tex]
I have also attached the graph of x²-9.
Hence option A is correct .What value of x is in the solution set of 4x - 12 < 16 + 8x?
0-10
O-9
08
O 7
Answers
Answer: 7 and 8
Step-by-step explanation:
[tex]4x-12 < 16+8x\\\\-12 < 16+4x\\\\-28 < 4x\\\\-7 < x \\\\x > -7[/tex]
So, both 7 and 8 are in the solution set.
27÷819=
give me the quotient for 27÷819
Answers
Answer:
.032967033
Step-by-step explanation:
Answer:30.33333333 or just 30.3
Step-by-step explanation:
30.33333333333333
Which rational function has vertical asymptotes at x=-3 and 9,a horizontal asymptote at y=1, and an x-intercept of 0?
•h(x)=x^2/x^2-6x-27
Answers
Answer:
Yes that function does •h(x)=x^2/x^2-6x-27
Step-by-step explanation:
Yes that function does •h(x)=x^2/x^2-6x-27
50/21 as a 10th of a percent
Answers
Answer:
20 percent
Step-by-step explanation:
The football team has a total of 25 jerseys. There are 5 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
% are medium-sized jerseys
Answers
Answer:
20%
Step-by-step explanation:
There are 5 medium shirts out of 25 shirts.
5/25 = 0.20
It need to be a percent instead of a decimal so you times it by 100.
0.20*100 = 20%
Answer:
25
Step-by-step explanation:
HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! :)
find the solution set.
Answers
Part A: m< -6
---
Part B: a < 25
---
Part C: x < 16
---
Part D: p > 8
I’ll DO ANYTHING IF U ANSWER THIS WHOLE THING
Answers
Answer:
13/12
Step-by-step explanation:
answers for the 2 boxes please :)
Answers
A.it is a function
B.it is not a function
Answers
What expression can you substitute for y in
this equation?
-4y + x = -27
Enter the correct answer.
Answers
Answer:
1/4x+27/4
Step-by-step explanation:
Here's the equation: -4y+x=-27
We'll need to isolate y on one side
subtract x from both sides
-4y=-x-27
divide everything by -4
y=1/4x+27/4
So you can substitute 1/4x+27/4 for y.
hope this helps!
Please I am on a timer
Answers
Answer: g=5
Step-by-step explanation:
What is 3.116372 rounded to the nearest hundred thousandths place?
Answers
Answer:
3.116370
Step-by-step explanation:
1. Find hundred thousandths place: the 7
2. Look at the number behind it (2).
3. 2 is 4 or less so it would be 3.1116370.
4. The numbers after the place you round ( Here hundred thousandths)
turn into zeros.
Which fraction and decimal forms match the long division problem?
A.4/15 and 0.26
B.4/15 and 0.26
C.15/4 and 0.266
D.15/4 and 0.26
Answers
Answer:
C would be the correct answer. :D
NEED HELP PLEASE 20 POINTS!!!!
Answers
Which expressions are equal to 105?
Answers
Answer:
2•2²×100+5.
Step-by-step explanation:
a half of 48 divided by6multiplied by4 plus 3 minus 2
Answers
Answer: 17
Step-by-step explanation: thx
Answer: 9 using pemdas
Step-by-step explanation: parenthesis, expressions, multiplication, division, addition, subtraction.
Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown. StartAbsoluteValue negative 3 EndAbsoluteValue + StartAbsoluteValue negative 5 EndAbsoluteValue = 3 + 5 = 8. The distance is 8 units. Riko correct? Explain why or why not.
Answers
Answer:
Riko is wrong because she uses the wrong formula.
Step-by-step explanation:
Given the coordinate points (-2, -3) and (2, -5)
We are to find the distance between the two points
Using the formula:
D = √(x2-x1)²+(y2-y1)²
From the coordinates x1 = -2, y1 = -3, x2 = 2 and y2 = -5
Substitute
D = √(2-(-2))²+(-5-(-3))²
D= √(4)²+(-2)²
D = √16 + 4
D = √20
D = √4*√5
D = 2√5
This shows that Riko is wrong because she uses the wrong formula.
Answer:
No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.
Step-by-step explanation:
solve the system of equations
4x - 3y = 8 and 2x + 5y = -9
I need a math genius’ help on this pls :)
Answers
Answer:
4x-3y=8
Simplifies to x=3/4y+2
2x+5y=-9
Simplifies to -5/2y+-9/2