Answer:1. 1.0 1.0 1.4
Step-by-step explanation:
The length of the sides are given by the 45°–45°–90° triangle theorem.
Correct responses:
AB = 1AC = 1BC = √2 Methods used to find the lengthsThe 45°–45°–90° triangle theorem states that the ratio of the lengths of
the sides of triangles having interior angles of 45°, 45°, 90° is 1 : 1 : √2
The lengths of the legs of an isosceles triangle are equal.
The legs of the given isosceles right triangle are AB and AC
Therefore;
AB = AC
Taking the lengths of AB as 1 unit, we have;
AB = 1 = AC
According to Pythagorean theorem, we have;
[tex]\overline{BC}^2 = \mathbf{\overline{AB}^2 + \overline{AC}^2}[/tex]
Which gives;
[tex]\overline{BC}^2 = 1^2 + 1^2 = \mathbf{ 2}[/tex]
Therefore;
BC = √2
Therefore, by setting the length of AB = AC = 1, we have;
AB = 1AC = 1BC = √2 ≈ 1.414The above values are in the ratio 1 : 1 : √2, which corresponds with the
45°-45°-90° triangle theorem.
Learn more about Pythagorean theorem here:
https://brainly.com/question/66231
Which expressions are equal to 105?
Answer:
2•2²×100+5.
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?
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
What value of x is in the solution set of 4x - 12 < 16 + 8x?
0-10
O-9
08
O 7
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.
Find 2a for a = 3 1/4. 23 1/4 6 1/4 6 1/2 5 1/2
Answer:
6 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
you are adding 3 1/4 to 3 1/4 which is 6 2/4 or 6 1/2
or you can multiply 13/4 by 2 to get 26/4 or 13/2 which, again, is 6 1/2
I just need number 32 and 33 please show work if you can
Step-by-step explanation:
Interior angle + Exterior angle = 180°.
Size of Interior angle = 180° - 360°/n.
Question 32:
Exterior angle = 72°
Interior angle = 180° - 72° = 108°.
Therefore 180° - 360°/n = 108°, n = 5 => 5 sides.
Question 33:
Exterior angle = 36°
Interior angle = 180° - 36° = 144°.
Therefore 180° - 360°/n = 144°, n = 10 => 10 sides.
Answer: 32.) 108°. 5 sides
33.) 144°. 10 sides
Step-by-step explanation:
To find an interior angle subtract the given exterior angle from 180.
180 - 72 = 108
180 - 36 = 144
To find the number of sides of a regular polygon, divide 360 by the exterior angle.
360/72 = 5
360/36 = 10
Find the value of x
?????
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
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.
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
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
What is a fraction equal to 2/3? *
Answer:
Here are multiple :)
4/6
6/9
8/12
10/15
12/18
14/21
16/24
Hope this helped!
Answer:
2/3 | 4/6 | 8/12 | 16/24 | 6/9 | 10/15 | 14/21 | 16/24 | 18/27 | 20/30
HURRY I NEED HELP
Does the graph shown below represent Y as a linear function of x
Yes or No
Answer:
no
Step-by-step explanation:
linear functions have straight lines
so this is not a linear function
The number of penguins in Antarctica decreased by 30% between last year and this year. Last year there were 650 penguins. What is the population this year?
9514 1404 393
Answer:
455
Step-by-step explanation:
The decrease was 30% of 650, or ...
0.30 · 650 = 195
So, the population this year is ...
650 -195 = 455
Answer:
455 Penguins
Step-by-step explanation:
1.) 650 x 0.30 = 195
2.) 650 - 195 = 455
Final answer: 455 Penguins
Hope this helped!
Please I am on a timer
Answer: g=5
Step-by-step explanation:
answers for the 2 boxes please :)
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
[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 is 3.116372 rounded to the nearest hundred thousandths place?
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.
double s, then multiply t by the result
*INCLUDE ANY PARENTHESES OR MULTIPLICATION SYMBOLS IF NEEDED!!!!*
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 :)
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:
Can you help me -3-
only the first problem (a)
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!
solve the system of equations
4x - 3y = 8 and 2x + 5y = -9
I need a math genius’ help on this pls :)
Answer:
4x-3y=8
Simplifies to x=3/4y+2
2x+5y=-9
Simplifies to -5/2y+-9/2
a half of 48 divided by6multiplied by4 plus 3 minus 2
Answer: 17
Step-by-step explanation: thx
Answer: 9 using pemdas
Step-by-step explanation: parenthesis, expressions, multiplication, division, addition, subtraction.
I’ll DO ANYTHING IF U ANSWER THIS WHOLE THING
Answer:
13/12
Step-by-step explanation:
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
Answer:
C would be the correct answer. :D
Eliza makes handmade ornaments. It takes her 4 hours to make 18 ornaments. How many ornaments can she make in
14 hours?
Answer: She makes 63 ornaments in 14 hours
Step-by-step explanation:
4 = 18
14 = x
Cross multiplication
4x = 18 x 14
4x = 252
x = 63
Answer:
She can make 63 ornaments in 4 hours
Step-by-step explanation:
she makes 4.5 in a hour so just times that by 14
Expand and simplify
(x + 3)(x + 5)
Answer:
x^2+8x+15 this is it simplified
NEED HELP PLEASE 20 POINTS!!!!
What expression can you substitute for y in
this equation?
-4y + x = -27
Enter the correct answer.
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!
Find the area of a trapezium is 4cm 4cm, 7cm
Step-by-step explanation:
1/2×(4+7)×4
1/2×11×4
11×2
22cm2
HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! :)
find the solution set.
Part A: m< -6
---
Part B: a < 25
---
Part C: x < 16
---
Part D: p > 8
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.
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:
27÷819=
give me the quotient for 27÷819
Answer:
.032967033
Step-by-step explanation:
Answer:30.33333333 or just 30.3
Step-by-step explanation:
30.33333333333333