Answers
Answer:
1) x = 5
2) y = 5·√2
Step-by-step explanation:
1) The given parameter of the right triangle are;
The legs of the right triangle = 'x', and 5
One interior angle of the right triangle = 45°
Therefore, buy the interior angle summation property of a right triangle, we have;
The measure of the other angle, θ = 180° - 90° - 45° = 45°
From which we have;
A right triangle with an interior angle of 45° is an isosceles triangle with both legs equal
∴ The length of the other leg, x = 5
x = 5
2) By Pythagoras's theorem, we have that the square of the length of the hypotenuse, 'y', is given as follows;
y² = x² + 5²
∴ y² = 5² + 5²
y = √(5² + 5²) = √(25 + 25) = √50 = √(25 ×2) = 5·√2
y = 5·√2 in the simplest radical form.
Related Questions
Solve 8 ÷ one third = ___.
Answers
Answer: 24
Step-by-step explanation: Good luck! :D
Each box contains 6 pens as shown in the table. # of Boxes # of Pens 1 6 2 12 3 18 4 Which list includes only independent quantities? O 1, 2, 3, 4 O 2, 4, 6,8 O 1, 2, 6, 12 O 6, 12, 18, 24
Answers
Answer:
pens
Step-by-step explanation:
-4a+18
And It’s NOT -2(2a-9)
Answers
Answer:
14a
Step-by-step explanation:
hope this helped
create a proportional ratio to the given ratio 7/7= ?/?
Answers
Answer:
14/14
Step-by-step explanation:
multiply 7/7 by 2/2
=14/14
Donna bought a candy bar for $1.50.
She paid with nickels and dimes.
She used 21 coins in all. How many
nickels (n) and how many dimes (d)
did she use?
Answers
Answer:
12 Nickels & 9 Dimes
Step-by-step explanation:
Systems of Equations
0.05x + 0.10y = 1.50
x + y = 21
Find the intercept and you get (12,9)
b³ - 3a⁵ = answer this for brainliest and 50 points!
Answers
Answer:
-3a^5+b^3
Step-by-step explanation:
The only thing we can do here is flip the equation around-
-3a^5+b^3
x/a = y/b solve for b
Answers
Answer:
b=ya over x
Step-by-step explanation:
1.6(b+3.5)=20
if answered correctly i will give brainliest
Answers
Answer:
Step-by-step explanation:
20/1.6=12.5
12.5-3.5=9
9=b
9
Explanation:
First you multiply 1.6 by b and 3.5.
1.6b+5.6=20
Then you move everything besides b over to one side and change the sign.
1.6b=20-5.6
Next you subtract 20 by 5.6.
20-5.6=14.4
Finally you divide 1.6 by both sides.
b=14.4/1.6
b=9
PLS HALPPPPP!!!!
Yo have 3 bottles of lotion. Each bottle yo have contains 3.78 mL, 4.51 mL, and 2.72 mL of lotion...
BRO....HOW MUCH LOTION DO YOU HAVE IN TOTAL!!!!????
<: but srsly how much someone help O^O
Answers
Answer:
11.01
Step-by-step explanation:
3.78+4.51+2.72=11.01
Find.
bcbshdbsvbdbdbxbdddd did
Answers
Answer
bcbshdbsvbdbdbxbdddd did u
Step-by-step explanation:
Answer:
baby im not even here.
Step-by-step explanation:
how do you solve this
−8 x - 2/3
Answers
Answer:
16/3 = 5.333333333
Step-by-step explanation:
-8 x -2/3
Express -8(-2/3) as a single fraction
-8(-2)/3
Multiply −8 and −2 to get 16.
16/3 = 5.333333333
HELP ASAP!! PLS HELP IM BEGGING YOU PLS PLS PLS!! (BRIANLIST)
Answers
Reasoning Solve the system of linear equations using substitution. Use pencil and paper. Which expression would be easier to substitute into the other equation, in order to solve this problem? Explain your reasoning. x = 4y - 2 x + 4y =7
Answers
Answer:
x = 5 /2 , y = 9 / 8
Step-by-step explanation:
x = 4y - 2 ....... (i)
x + 4y =7 ....... (ii)
Substituting eqn (i) into eqn (ii);
(4y - 2 ) + 4y = 7
4y - 2 + 4y = 7
8y = 7 + 2 = 9
y = 9 / 8
substitute y = 9 / 8 in eqn (i)
x = 4 (9 / 8) - 2
x = 9 / 2 - 2
x = (9 - 4 ) / 2
x = 5 / 2
PLEASE HELP
Is this graph proportional or non
Group of answer choices
Proportional
non-proportional
Answers
Answer:
I dont see a picture-
Step-by-step explanation:
pls help i am on a timer
Answers
Answer:
I think the answer is C - (x+2)^2+1
cos(-735") =
Your answer:
A. cos 35°
B. Cos 335°
C. cos 345°
D. cos 45°
Answers
Answer:
Cos(735) = 0.965925826289
Step-by-step explanation:
This is the same answer you will get if you have a scientific calculator set to DEG mode and then enter 735 followed by the Cos button.
HELP! please asap due tomorrow
Answers
Answer:
area is 12
Step-by-step explanation:
Answer: 12 mm
Step-by-step explanation:
Hurry pls I have a few mins left
Answers
PLEASE HELP ASAP IM TIMED
What steps are used to solve the equation?
g – 8 = 14
Complete the statements.
First,
both sides of the equation.
The solution of the equation is
.
Check the solution by substituting
for g and simplifying.
Answers
Answer:
both sides of the equation.
The solution of the equation is
.
Check the solution by substituting
for g and simplifying.
Step-by-step explanation:
What steps are used to solve the equation?
g – 8 = 14
Complete the statements.
First,
both sides of the equation.
The solution of the equation is
.
Check the solution by substituting
for g and simplifying.
Answer:
Step-by-step explanation:
What steps are used to solve the equation?
g – 8 = 14
Complete the statements.
First,
✔ add 8 to
both sides of the equation.
The solution of the equation is
✔ g = 22
.
Check the solution by substituting
✔ 22
for g and simplifying.
how do i graph y=-x+3
Answers
Answer:
y=-x+3 follows the same equation as y=mx+b
3 is b, and b is the y-intercept. The y intercept is where the line crosses on the y axis, and -x is is m, which is the slope. However since its a variable, its point is on the same number as positive three on the y axis, so then its 3 on the x axis.
Step-by-step explanation:
Hope this helped
Jasmine ran for 98.4 minutes. Throughout her run, she ran at a constant pace of 8.2 minutes per mile. How many miles did Jasmine run?\
HeLp 6Th GraDe iS haRd!!!! (actually)
Answers
I dunno I legit forgot how to do it but if you divide 98.4 with 8.2 you get 12 so yuh tell me if I’m right tho
I don’t know how to answer this. please helppp!!!
Answers
Answer:
x=8
Step-by-step explanation:
the larger triangle has a scale factor of 4/3, so 4/3 times 5x+2=7x
(20x+8)/3=7x
20x+8=21x
8=x
Answer:
I think x is 35
Step-by-step explanation:
Im guessing
What is the correct answer for the expression 8 + (-15)
Answers
Answer:
-7
Step-by-step explanation:
8+ (-15)
-7
same as saying 8-15 = -7
whats the answer? help pls!!
Answers
Answer:
27
Step-by-step explanation:
since 32 is 3 times the size of 12 multiply 9 by 3
Answer:
24
Step-by-step explanation:
1. Cross multiply:
32 * 9 = 12 * C
2. Divide each side by 12:
C = (9 * 32) /12
3. Reduce:
C = 24
Final proportion:
9 24
--- = ---
12 32
I am in need of assistance.
Answers
Answer:
A. x = 6.08, x = -0.58
Step-by-step explanation:
[tex]\displaystyle \frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24}=\frac{-3}{x-6}[/tex]1. Factor the denominator.
[tex]\displaystyle \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}[/tex]2. Multiply the leftmost fraction by (x-6)/(x-6) to get common denominators.
[tex]\displaystyle \Big ( \frac{x-6}{x-6} \Big ) \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}[/tex]3. Simplify.
[tex]\displaystyle \frac{2x^2-12x}{(x-4)(x-6)}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}[/tex]4. Combine like terms.
[tex]\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6}[/tex]5. Multiply the right side of the equation by (x-4)/(x-4).
[tex]\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6} \Big ( \frac{x-4}{x-4} \Big )[/tex]6. Simplify.
[tex]\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3x+12}{(x-6)(x-4)}[/tex]7. "Cancel" out the denominators because they are equivalent.
[tex]2x^2-14x+5=-3x+12[/tex]8. Set the equation equal to 0.
[tex]2x^2-11x-7=0[/tex]Quadratic formula:
[tex]\displaystyle x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]9. Factor using the quadratic formula.
[tex]\displaystyle x = \frac{-(-11)\pm \sqrt{(-11)^2-4(2)(-7)} }{2(2)}[/tex]10. Multiply and simplify.
[tex]\displaystyle x = \frac{11 \pm \sqrt{177} }{4}[/tex]11. Plug this into your calculator and solve for x.
[tex]x=6.07603367 \approx 6.08[/tex] [tex]x=-0.57603367 \approx -0.58[/tex]The correct answer is A. x = 6.08, x = -0.58.
The height of a mountain is 26,400 feet. What is the height of the mountain in miles?
Answers
Step-by-step explanation:
Height of Mountain in feet = 26400 feet
Height of Mountain in Miles = 5 miles
Hope it will help :)
Answer:
5 milesfollow meHello! PLEASE SOLVE ALL 4 ASAP! YOU WILL BE A GREAT HELP! :)
Answers
Answer:
1. a+b 2.a-b. 3. ab 4. a/b
Andre tried to solve the equation 1/4(x + 12) = 2. What was his mistake? *
1/4(x+12=2
1/4x=-10
x=-40
Answers
Answer:
x=-4
Step-by-step explanation:
x+12=8
x=8-12
Andre did not multiple both by four to get the exact whole number. He also, didnt subtract 12 which is not possible due to it being multiplied by 1/4.
PLEASE HELP! I NEED THE ANSWER SOON!
Answers
Answer:
6 * (m + n)
Step-by-step explanation:
Answer:
Its the top 2 and the last one
Zachary is standing in a stadium and has the option of running up a staircase or down a staircase for exercise.
The function f(x)= 1/25(∣4x∣+2x) will determine how many calories Zachary will burn if he runs up x steps. Use a negative value for x if he runs down the stairs. What does the domain represent in this function?
Answers
Answer:
R(All real numbers)
Step-by-step explanation:
We are given that the calories burn in x steps of running is given by
[tex]f(x)=\frac{1}{25}(|4x|+2x)[/tex]
We have to find the domain of this function.
We know that
|x|=[tex]x, x\geq 0[/tex]
-x, x<0
Therefore, the function
[tex]f(x)=\frac{1}{25}(4x+2x) ,x\geq 0[/tex]
[tex]\frac{1}{25}(-4x+2x) ,x<0[/tex]
[tex]f(x)=\frac{1}{25}(6x), x\geq 0[/tex]
[tex]\frac{1}{25}(-2x), x<0[/tex]
The function is defined for all values of x.
Therefore, the domain of f(x)=All real numbers (R)