The values of the length of the missing sides of triangle is x = 7√2 and y = 7.
What are special triangles?Special right triangles are right triangles with three determined interior angles and fixed side ratios. If one side is known in these right-angled triangles, we can find the value of the two missing sides. The 45°- 45°-90° triangle and the 30°- 60°-90° triangle are other names for the two unique right triangles. Before going further, let's review the fundamental characteristics of a right triangle.
One of the angles of a right triangle is 90 degrees, and the total of the other two angles is also 90 degrees. The triangle's hypotenuse, which is the longest side, is the side that faces the right angle.
From the given figure we observe that the two angles are 45 degree and 90 degree.
Using the angle sum property we have:
45 + 90 + third angle = 180
third angle = 45 degrees.
The triangle is thus a 45-45-90 triangle.
The sides of 45-45-90 triangle correspond to the lengths as x : x : x√2.
Here, the angle corresponding to 45 is 7.
Thus, y = 7 and x = 7√2.
Hence, the values of the length of the missing sides of triangle is x = 7√2 and y = 7.
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Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
on the 10th day from option A you would get $196.83. on the 10th day from option B you would get $1,000.
Step-by-step explanation:
Answer:
Option B.
Step-by-step explanation:
Given:
Option A: You Receive 1¢ on the first day, 3¢ on the second day, 9¢ on the third day, 27¢ on the fourth day,and so on, tripling each day.
Option B: You receive $100 each day(Day 1, you would receive $100, Day 2, you would receive $100..)
You will receive the month that is offered on day 10. Which option would you choose? Use the table and/ or graph to organize your thinking.
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Option A Option B:
Tripling = times 3 Add $100
Table: Table:
[1] 1¢ [1] $100
[2] 3¢ [2] $200
[3] 9¢ [3] $300
[4] 27¢ [4] $400
[5] 81¢ [5] $500
[6]$2.43 [6] $600
[7] $7.29 [7] $700
[8] $21.87 [8] $800
[9] $65.61 [9] $900
[10] $196.83 [10] $1000
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Thus, I will choose option B.
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~lenvy~
Write the following expression using an exponent.
1x(4.5)x(4.5)x(4.5)x(4.5)x(4.5)=
Answer:
4.5^5
Step-by-step explanation:
Answer:
(4.5)^5
Step-by-step explanation:
A map shows a scale of 5cm = 40 miles. The distance from Los Angeles,
CA to San Francisco, CA is 400 miles. How far apart will the two cities be
on the map?
OA) 0.5 cm
OB) 5 cm
O C) 50 cm
OD 500 cm
Answer:
C
Step-by-step explanation:
It's 50 cm for sure
Answer:
C
Step-by-step explanation:
It's 50 cm for sure
A number cube with a number 1 through 6 is rolled. find the probability of rolling a number greater than 3?
The probability of rolling a number greater than 3 is equal to
--> # of numbers greater than 3 / total # of numbers on the dice
--> [tex]\frac{3}{6} =\frac{1}{2}[/tex]
There the probability of rolling a number greater than 3 is 1/2
Hope that helps!
For a ride on a rental scooter, Felipe paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Felipes ride was $22.28. For how many minutes did Felipe ride the scooter?
Answer:
169 minutes
Step-by-step explanation:
First, deduct the fee:
22.28 - 2 = 20.28
Change the dollars into cents:
20.28 x 100 = 2028
Then divide the amount by 12 cents:
2028 / 12 = 169.
He rode it for 169 minutes or 2 hours and 49 minutes
10k^10/8k^4 simplify ???
help!!!
What time is it on the clock.
Answer:
8:11 o Clock
Step-by-step explanation:
Stay safe, stay healthy and blessed.
Have a good day !
Thank you
Find the side labeled x.
Answer:
4√3
Step-by-step explanation:
Hello!
This is a 30° 60° 90° because it has a 90° angle, a 30° angle, and the missing angle is 60° (sum of angles in a triangle is 180°). This triangle has special properties.
In a 30°-60°-90° triangle, the leg opposite 30° is always half the hypotenuse.
This means that the hypotenuse would be 2 times 4, or 8.
The leg opposite to 60° in a right triangle of this sort is the length of a leg multiplied by √3.
So the measure of x is 4√3.
An image is attached for your reference.
The value of side labeled x using Trigonometric ratio is [tex]{4}{\sqrt 3}[/tex].unit.
Given:
Angle = 30
Perpendicular or opposite side= 4
Using Trigonometric ratio
tan 30 = Opposite side / Adjacent side
Substituting Opposite side= 4 and Adjacent side = 4 in above ratio
So, tan 30 = 4 / x
As, the value of tan 30 = [tex]\dfrac{1}{\sqrt 3}[/tex] then
tan 30 = 4 / x
[tex]\dfrac{1}{\sqrt 3}[/tex] = [tex]\dfrac{4}{x}[/tex]
solving for x
x = [tex]{4}{\sqrt 3}[/tex]
Thus, the value of x is [tex]{4}{\sqrt 3}[/tex].
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∠A and ∠B are supplementary. The measure of ∠A is 34°.
What is the measure of ∠B?
Enter your answer in the box.
Please help!
Answer:
146
Step-by-step explanation:
Given;
∠A and ∠B are supplementary. The measure of ∠A is 34°.
To Find;
What is the measure of ∠B?
Note:
Supplementary = 180 degree
Solve:
Since supplementary = 180 degree
34 + x = 180
Subtract 34 from both sides
x + 34 - 23 = 180 - 34
Simplify
x = 146
Hence, the measure of ∠B is 146
~Learn with Lenvy~
) There are 8 children in Sophie's preschool class. During free time yesterday, 1 of them
chose to read books. What is the experimental probability that a randomly selected
preschooler would choose to read books today?
Using it's concept, it is found that there is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these numbers of outcomes are taken from previous trials.
In this problem, in the previous trial, one out of eight students read a book, hence:
p = 1/8 = 0.125 = 12.5%.
There is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.
More can be learned about probabilities at https://brainly.com/question/14398287
Is (–5, 5) a solution to the equation y=x ?
Answer:
No.
Step-by-step explanation:
-5 =! 5
9
There were 2,500 sales at a grocery store
in one day. Of these sales, 50% happened
before noon, 15% happened between
noon and 4 PM, and the rest happened
after 4 PM.
How many sales happened after 4 PM?
A 875
B 375
C 450
D 625
Answer:
The answer is 875.
Step-by-step explanation:
Based on the given conditions, formulate: 2500x(1-15%-50%)
Calculate the sum or difference: 2500x(0.85-0.5)
Calculate the sum or difference: 2500xx0.35
Calculate the product or quotient: 875
get the result: 875
Answer: 875
Which inequality does the graph represent?
Answer:
The answer is
x < -1
Step-by-step explanation:
I hope it helps!
What is the circumference of a circle whose radius is 20 feet. Leave awnser in terms of pi
Answer:
40π
Step-by-step explanation:
cricumference: 2πr (or πd)
2π(20) = (40)π ≈ 125.66
Answer: 40
Step-by-step explanation:
First, you have to multiply the radius by 2 which gives us 40. Then, 40 x 3.14 (pi) = 125.6 After, you divide 125.6 by 3.14 which once again gives you 40. :)
You have a cup of lemonade. Each ice cube has a length of 2 cm, a width of 1 1/4 cm and a height of 3 cm. What is the volume of one of the ice cubes? Show your steps and Explain how you used math to come to your decision.
volume : 7.5 cm²
volume of cube : length * width * height[tex]\hookrightarrow \sf Length \ * Width \ * \ Height[/tex]
[tex]\hookrightarrow \sf 2 \ * 1\dfrac{1}{4} \ * \ 3[/tex]
[tex]\hookrightarrow \sf 2 \ * \dfrac{5}{4} \ * \ 3[/tex]
[tex]\hookrightarrow \sf \dfrac{15}{2}[/tex]
[tex]\hookrightarrow \sf 7.5 \ cm^2[/tex]
Answer:
[tex]\sf volume=7 \frac12 \ cm^3[/tex]
Step-by-step explanation:
Formula
volume of cuboid = length × width × height
Given dimensions of the ice cube:
length = 2 cmwidth = 1 1/4 cmheight = 3cmSubstituting the given values into the formula:
[tex]\sf \implies volume=2\times 1 \frac14 \times 3[/tex]
Converting to improper fractions:
[tex]\sf \implies volume=\dfrac21\times \dfrac54 \times \dfrac31[/tex]
[tex]\sf =\dfrac{ 2\times 5 \times 3}{1 \times 4 \times 1}[/tex]
[tex]\sf =\dfrac{30}{4}[/tex]
Dividing the numerator and denominator by the highest common factor:
[tex]\sf \implies volume=\dfrac{30 \div 2}{4 \div 2}[/tex]
[tex]\sf =\dfrac{15}{2}[/tex]
Converting the improper fraction into a mixed number:
[tex]\sf \implies volume=7 \frac12 \ cm^3[/tex]
Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare.
Answer:
5/8 is smaller.
Step-by-step explanation:
A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777
Then to compare them you see which is smaller or bigger.
0.77777 is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.
The z value for a 97. 8% confidence interval estimation is.
Using the z-distribution, it is found that the z-value is of z = -2.29.
How to find the critical value of Z?For a confidence level of [tex]\alpha[/tex], it is Z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex].
We have a 97.8% confidence level, hence[tex]\alpha = 0.978[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.978}{2} = 0.989[/tex], so the critical value is z = -2.29.
More can be learned about the z-distribution at https://brainly.com/question/25890103
(2x) (x-1)(x-4)=40 pls simplify
Answer:
x = 5
Step-by-step explanation:
PLEASE HELP I HAVE A TEST TOMORROW
Answer:
a = 12
Step-by-step explanation:
Pythagorean Theorem: A^2 + B^2 = c^2
9^2 + b^2 = 15^2
81 + b^2 = 225
225 - 81 = 144
[tex]\sqrt{144}[/tex] = 12
Have an amazing day!!
Good luck on your test!!
Please rate and mark brainliest!!
Step-by-step explanation:
use the picture as reference and solve accordingly
best of luck for your test
……………………868685758584984444
Answer: 86868575854984444 121213435457642222
Step-by-step explanation:
xº
50°
What is the value of x?
Answer:
65
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
one of the angle is given as 50 degrees so:
50 + x + x = 180
50 + 2x = 180 subtract 50 from both sides
2x = 130 divide both sides by 2
x = 65
Find the value of each variable. 22, 30, x.
x=
y=
(Simplify your answers. Type exact answers, using radicals as needed.
please hurry for fifty points!
Answer:
11 and 11 root 3
This is because it is a 30 60 90 triangle, making it x, x root 3, and 2x.
Answer:
x = 11, y = 19.05
Step-by-step explanation:
sin 30 = x/22
22*sin 30 = x
22*0.5 = x
11 = x
tan 30 = 11/y
0.577350269 = 11/y
y = 11/0.577350269
y = 19.0525589
y= 19.05
Hope this helps :)
Please help with my math thank you for all that helped!---------------NO LINKS AT ALL
Answer:
1a) 9+9+9+9=36
b) 9×9=81. Hope this helped
!!!WILL MARK BRAINLIEST!!
Answer:
B, F
Step-by-step explanation:
B, F is correct.
A, C, D, E, G, H is wrong.
[tex] < jkl = < qrs = < zxy = {47}^{0} [/tex]
[tex] < jlk = < zyx = < qsr = {29}^{0} [/tex]
Plss help i need this asap
(will give brainliest)
(this is not from a test)
Answer:
90
Step-by-step explanation:
im not sure but im pretty sure it would be 90 dont come at me if it not:(
Answer:
360°/3=120°
which is the size of each exterior angle.
Step-by-step explanation:
An equilateral triangle has 3 lines of symmetry, but of more importance in this case, it has rotational symmetry of order 3. This means that in a rotation of 360° the same image appears 3 times.
360°/3=120° which is the size of each exterior angle.
The triangle rotates through the exterior angle so that the next vertex can be in the same position as the previous one.
IN the same way, a square will rotate through 360/4=90°
A pentagon will rotate through 360/5=72°
for the figure to map onto itself.
Fifteen less than the square of a number is the same
as twice the number. Find the number.
Call the number : a
We have : [tex]a^{2} - 15 = 2a[/tex]
[tex]- > a^{2} - 2a = 15 - > a(a-2) = 15[/tex]
Now, we list all the numbers that can be multiplied to get 15 :
1 x 15 (and reverse)
3 x 5 (and reverse)
-1 x (-15) (reverse)
-3 x (-5) (a l s o r e v e r s e)
We substitute in :
If a = 1 -> a(a-2) = 1 x (-1) = -1 (not equal 15)
If a = 3 -> a(a-2) = 3 x 1 = 3 (not equal 15)
If a = -1 -> a(a-2) = -1 x (-3) = -3 (also not equal 15)
And if a = -3 -> a(a-2) = -3 x (-5) = 15 (satisfied)
So, the number is -3
Recheck : -3(squared) - 15 = 9 - 15 = -6
Twice of -3 = -6
[tex]========================================[/tex]
First of all, let the unknown number be z.
Then, "the square of z" means "z squared" which is the same as "z times z" or just z².
Now, "fifteen less than the square of z" means we subtract 15 from z²:
z²-15
Then, this equals twice the number, or 2 times z:
z²-15=2z
[tex]========================================[/tex]
Notes:-Hope everything is clear.Let me know if you have any questions!Always remember: [tex]\boxed{Knowledge~is~power!}[/tex]Enjoy your day!Answered by[tex]\boxed{An~Emotional~Helper}[/tex]:-)
Use the table to identify values of p and q that can be used to factor
x2 + x - 12 as (x + p)(x+ 9).
i need answer asapp!!!
will mark brainliest!!!!
For this case we have the following polynomial:
x2 + x - 12
Factoring we have:
(x-3) (x + 4)
We note that the polynomial is written as:
(x + p) (x + q)
Thus,
p = -3
q = 4
Answer:
The values of p and q that can be used to factor x2 + x - 12 as (x + p) (x + q) are:
C. -3 and 4
Have a nice day
x/14=7
what is x?
x/5=4.1
What is x
Answer:
x = 98 , x = 20.5
Step-by-step explanation:
[tex]\frac{x}{14}[/tex] = 7 ( multiply both sides by 14 to clear the fraction )
x = 98
[tex]\frac{x}{5}[/tex] = 4.1 ( multiply both sides by 5 to clear the fraction )
x = 20.5
Step-by-step explanation:
#1
x/14=7
x=14×7
x=98
#2
x/5=4.1
x=5×4.1
x=20.5
b -5 ≥ -45 answer and steps
Answer:
-50
Step-by-step explanation:
b-5 [tex]\geq -45[/tex]
b-5 = -45 ( collect like terms)
b = -45 + -5
b = -45 -5 b = -50
Solve the system of equations with substitution or elimination method. please help 2x+y=4 and 6x+7y=12
Answer:
x=2-y/2
y=12/7-6x/7
Step-by-step explanation: