Answer:
12√2
7√3
Step-by-step explanation:
The length of the hypotenuse of a 45°-45°-90° triangle with a leg of 12 is 12√2 and the length of longer leg is 7√3 for 30°-60°-90° triangle.
What is Right Angled Triangle?Right angled triangle are those triangle for which one of the angle is 90 degrees.
Ratio of the sides of a 45°-45°-90° triangle is 1 : 1 : √2.
That is,
If sides opposite to 45° = x, then the side opposite to 90° = √2 x
That is, length of the hypotenuse = √2 x
Given length of a leg = 12
Length of the hypotenuse = √2 × 12 = 12√2.
Ratio of the length of sides of 30°-60°-90° triangle is 1 : √3 : 2.
That is,
Length of side opposite to 30° = x
Length of side opposite to 60° = √3 x
Length of side opposite to 90° = 2x (Hypotenuse)
We have to find the longer leg, that is √3 x.
Length of hypotenuse = 14
2x = 14 ⇒ x = 7
Length of longer leg = 7√3
Hence the lengths are 12√2 and 7√3.
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Find the missing sides of the triangle. Leave your answers in simplest radical form. Please help!
Find the slope of (0,4), (-5,2)
Answer:
-4/5
Step-by-step explanation:
round 0.0564 correct to the 1 significant figure
Answer:
0.06
Step-by-step explanation:
The side of a box has length x feet, and another side has length (x-7) feet. What value of a would produce an area of 18 square feet?
Answer:
x=9
Step-by-step explanation:
(9-7) = 2
9 times 2 = 18 square feet
Value of x is 9 , -2
Given that;
Length of box = x feet
Width of box = (x - 7) feet
Area of box = 18 square feet
Find:
Value of x
Computation:
Area of rectangle = Length × Width
Area of rectangular box = x × (x - 7)
x² - 7x = 18
x² - 7x - 18 = 0
Using factorisation;
x² - 7x - 18 = 0
x² - (9 - 2)x - 18 = 0
x² - 9x + 2x - 18 = 0
x(x - 9) + 2(x - 9) = 0
(x - 9)(x + 2) = 0
So,
x = 9, x = -2
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Each square is one square unit. Sienna uses the same square units to draw a 6 x 2 rectangle and says that it has the same area as the 3 x 4 rectangle. Is she correct?
Answer:
Yes, Sienna is correct because 6 times 2 is 12 and 3 times 4 is 12.
how do I explain this?
Answer:
Step-by-step explanation:
To do this, we have to prove that ∠1=∠5. We can do this using the corresponding angles theorem, which states that these two angles are congruent. Since ∠G=∠1, we can say ∠G=∠1=∠5, and as this, ∠G=∠5
!!!Please Help!!! Urgent!!! -Geometry 1
FIND THE QUADRANTS OF POINT P of triangle PST, a 45°-45°-90° triangle with vertices S(3, −5) and T(−4, 2) and mangleS = 90°. P is in Quadrant I.
Answer in simplest radical form.
Please help it would be very much appreciated (:
Answer:
Coordinates of P: (10,2)
Step-by-step explanation:
Slope of ST = (2-(-5))/(-4-3) = -1
angle S = 90° so Slope of SP = 1
P(10,2)
The solution to a system of linear equations is (0,4) one of linear equations in the system is y=8x+4
Answer:
(-1/2, 4)
Step-by-step explanation:
Get the x intercept. The x intercept occurs at when y = 0
0 = 8x + 4
-8x = 4
x = 4/-8
x = -1/2
Get the y intercept
y intercept occurs at x = 0
y = 8(0) + 4
y = 0+4
y = 4
Hence the required solution is (-1/2, 4)
PLEASE HURRY PLEASE HURRY ILL MARK BRANLIEST
Answer:
Option 2 and option 4
Step-by-step explanation:
Thomas decides on a destination for his vacation. If he takes the train there, it will take 5 1/8 hours to get there. If he takes the plane, it will take him 2 2/3 hours
Answer: 2 11/24
Step-by-step explanation:
How many hours does the plane save?
Time taken for the train = 5 1/8
Time taken for the plane = 2 2/3
The number of hours saved will then be:
= 5 1/8 - 2 2/3
Let the lowest common multiple be 24
= 5 3/24 - 2 16/24
= 2 11/24
The number of hours saved by the plane will be 2 11/24
The temperature at 6 AM what is -12°F the temperature increased by 1/2°F each hour for six hours what is the temperature in degrees Fahrenheit at noon
1/2 degree x 6 hours = 3 degree increase.
-12 + 3 = -9
The temperature at noon was -9 degrees.
Andrew owns a lawn-mowing business which contracts with 43 customers each week. Last week the business earned $870.75. How many weeks will it take to earn $6095.25?
Answer:
2
Step-by-step explanation:
You put $1000 in a savings account. The account earns 5% simple interest per year. How many years will the money need to remain in the savings account in order to earn $200 in interest?
Answer:
Im not sure but i think it is 30.
Step-by-step explanation:
please help me i need help
Answer:
21/8 cups of vegetables per cup of cheese
What is the length of segment AB?
Answer:
Option 1
Step-by-step explanation:
Use Pythagorean theorem,
AB² = base² + altitude²
= 7² + 6²
= 49 + 36
= 85
AB =√85
Answer:
option a.
6²+7²=ab²(by Pythagoras theorem)
36+49=ab²
85=ab²
square root 85=ab
What is the value of the expression 44?
Please help I only have an hour! I will give brainliest!
Answer:
256
Step-by-step explanation:
The value is 256 because 4^4 is 4*4*4*4 which equals 256 :))
Hope this helps:)) Plz mark Brainliest :))
a) Work out angle x.
x
55°
b) Write down the value of angle y, giving a reason for your answer.
y =
67°
Answer:
math is hard for me but yeah a good place to find answers is here or ggl maybe search on gg and the at the end put answer key i do that a lot hope my
Step-by-step explanation:
explanation helps
Ella takes hours to complete a painting. Holly takes of the time that Ella takes. How long will Holly take to complete 5 paintings
Answer:
6 hours
Step-by-step explanation:
Ella takes 1 3/5 hours to complete a painting. Holly takes 3/4 of the time that Ella takes. How long will Holly take to complete 5 paintings?
Ella =1 3/5 hours = 8/5 hours
Holly = 3/4 of 8/5 hours
= 3/4 × 8/5
= (3*8)/(4*5)
= 24/20
= 6/5 hours
Number of hours : number of painting = 6/5 hours : 1 painting
How long will Holly take to complete 5 paintings
Let x = number of hours
Number of hours : number of painting = x hours : 5 painting
6/5 hours : 1 painting = x hours : 5 painting
6/5 ÷ 1 = x ÷ 5
6/5 × 1/1 = x / 5
6/5 = x / 5
Cross product
6 * 5 = 5 * x
30 = 5x
x = 30/5
x = 6 hours
It will take Holly 6 hours to complete 5 paintings
michelle says that 4,902 x 0.001 is the same as 4,902 ÷ 10³
Answer:
Michelle is correct.
Step-by-step explanation:
The statement Michelle said is valid and correct since 10 to the power of 3 in the denominator is equivalent to 0.001 in the numerator.
Dividing by 1,000 is the same as multiplying by 0.001.
Solve the equation for y. Type out your steps to solve this problem as you are showing your work:
4y – 4 = 2y + 8
Choose the correct algebraic equation to represent: the amount decreased by $9 is $42.
Giving brainlist please help!
9 - m
9 – m = 42
m - 9
m – 9 = 42
m - 9 = 42
42 is our final answer so that should be by itself.
If something is being decreased by 9, that means that we are taking away 9 from something so it should be m - 9.
Answer:
m-9=42
Step-by-step explanation:
I'm pretty sure that m-9=42 is the correct answer because m or the amount is being decreased by 9 as 9 is being subtracted from it.
Over the last three evenings, Ivanna received a total of 116 phone calls at the call center. The third evening, she received 4 times as many calls as the first
evening. The second evening, she received 10 fewer calls than the first evening. How many phone calls did she receive each evening?
Answer:
first evening = 21 phone calls
second evening = 11 phone calls
third evening = 84 phone calls
Step-by-step explanation:
Total phone calls = 116
Let
Number of calls in the first evening = x
The second evening = x - 10
The third evening = 4x
Total phone calls = first evening + second evening + third evening
116 = x + (x - 10) + 4x
116 = x + x - 10 + 4x
116 + 10 = 6x
126 = 6x
x = 126 / 6
x = 21 phone calls
Number of calls in the first evening = x
= 21 phone calls
The second evening = x - 10
= 21 - 10
= 11 phone calls
The third evening = 4x
= 4(21)
= 84 phone calls
A shirt increased by 1/4 after the increase it was priced at £65 what was the original price of the T-shirt
Answer:
Step-by-step explanation:
A shirt increased by 1/4 after the increase it was priced at £65 what was the original price of the T-shirt
What is the slope in th
y=x + 3
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The slope is 1 which is times to the variable x. When there is x by itself then remember that there is a 1 times to the x.
Hope this helps, thank you !!
What is the distance between (-6,4) and (-8,6)? Choose 1 answer:
A. 2
B.3
C
[tex] \sqrt{4} [/tex]
D
[tex] \sqrt{8} [/tex]
Answer:
D
Step-by-step explanation:
We want to find the distance between (-6, 4) and (-8, 6).
We can use the distance formula given by:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (-6, 4) be (x₁, y₁) and let (-8, 6) be (x₂, y₂).
Substitute:
[tex]d=\sqrt{(-8-(-6))^2+(6-4)^2[/tex]
Evaluate:
[tex]d=\sqrt{(-2)^2+(2)^2[/tex]
Evaluate:
[tex]d=\sqrt{4+4}=\sqrt{8}[/tex]
Hence, our answer is D.
PLEASE HELP :)))
triangle similarity theorem
Answer:
x= 24 if this right there
Consider the equation showing the distributive property.
84 +93 = 3 (28+ D)
Enter the unknown value that would make the equation true.
t
X
1
2
3
4
5
7
8
9
0
Answer:
D = 31
Step-by-step explanation:
Consider the equation showing the distributive property.
84 +93 = 3 (28+ D)
The unknown value we are asked to find is D
Hence:
84 + 93 = 84 + 3D
Collect like terms
84 - 84 + 93 = 3D
93 = 3D
D = 93/3
D = 31
Therefore, the unknown value that would make the equation true is 31
A person earns $17,300 one year and gets a 5% raise in salary. Calculate the new yearly salary using a percent greater than 100.
Answer: $18,375
Step-by-step explanation:
The person was earning $17,300 and got a 5% raise.
The $17,300 represents 100% of itself. If it were to increase by 5% therefore, the new salary would be: 100 + 5 = 105%
The new salary would be 105% of $17,300.
= 17,300 * 105%
= 17,500 * 105/100
= $18,375
6 over square root 3
you and your want to go rock climbing. How far is the top?
Answer:
the top is far up
Step-by-step explanation: if u fall u will die