What is the length of the hypotenuse? 1. 52 + 122 =c2 2. 25 + 144 =c2 3. 169=c2 c=
Answer:
Step-by-step explanation:
In order to solve this question we need to know that [tex]a^{2} + b^{2} = c^{2}[/tex] (were a and b are the legs of a right angle triangle and c is the hypotenuse). Now since we are given [tex]a^{2}[/tex] and [tex]b^{2}[/tex],we can solve for hypotenuse in each case. So we do......
1) 52 + 122 = [tex]c^{2}[/tex]
174 = [tex]c^{2}[/tex]
[tex]\sqrt{174} =c[/tex]
13.190905 ≈ c
2) 25 + 144 = [tex]c^{2}[/tex]
169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
3) 169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
Hope this helps :)
The length of the hypotenuse 13 units.
What is a hypotenuse?A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Given that, A right triangle has side lengths 5 inches and 12 inches.
Using Pythagoras theorem,
h = √5²+12²
h = √25+144
h = √169
h = 13
Hence, the length of the hypotenuse 13 units.
For more references on hypotenuse, click;
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In a bouquet of flowers, there are 7 daisies and 19 roses. Write the ration of daisies
to roses in three different ways.
A. 7 to 19, 7:19, 7/19
B.19 to 7, 19:7, 1977
C.7 to 19, 19:7, 1977
D.19 to 7, 7:19, 7/19
Answer:
A
Step-by-step explanation: : )
the green shape is a dilation of the black shape.what is the scale factor of the dilation?
Answer: 5
Step-by-step explanation:
Scale factor = [tex]\dfrac{\text{ side length of image}}{\text{Side-length of original figure}}[/tex]
Given: Black triangle ( original) having perpendicular with length 4 units. [2 blocks above and 2 boxes below the x-axis ]
Green triangle ( image) having corresponding side as 20 units [10 blocks above and 10 boxes below the x-axis ].
Scale factor of dilation = [tex]\dfrac{20}{4}=5[/tex]
Hence, the scale factor of the dilation = 5
Help?????????? Please
Answer: 2 cups of water to 8 cups of flour
Step-by-step explanation:
Answer:
2 cups of water to 8 cups of flour
Step-by-step explanation:
A used automobile dealership recently reduced the price of a used compact car by 12%. if the price of the car before discount was $34,500, find the new price.
Answer:
Step-by-step explanation:
30,360
Order the set of integers from greatest to least. {6, 17, -20, 15, -19, 26}
PLEASE HELP ME OUT I NEED HELP
Patrice has 18 square tiles that she will lay side-by-side to form a rectangle. Name the dimensions of three different rectangles she can form
Answer:
9x2, 6x3, 1x18
Step-by-step explanation:
9x2=18
6x3=18
1x18=18
Answer:
9x2, 6x3, 1x18
Step-by-step explanation:
Hope this helped have an amazing day!
The lunch lady has 3 pounds of lasagna. If she makes 1/6 pound servings using this amount of lasagna, how many servings can she make?
Answer:
She can make 18 servings.
Step-by-step explanation:
We can simply multiply 3 by 6 to get the number of servings.
This is the same as dividing 3 by 1/6 since dividing is the same as multiplying the reciprocal.
Solve for the variable using Trig ratio.
Answer:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(50)° = [tex]\frac{x}{6}[/tex]
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(23)° = [tex]\frac{a}{15}[/tex]
a = 15sin(23)°
a = 5.86
Chantay made this square picture. She wants to glue yarn around the border to make a frame. How much yarn does she need?
Answer:
60 I
Step-by-step explanation:
because it would be 15 times 4 right I think
Answer the question below?
the figure is regular quaidlater
the sum of all interior angle is 360
measure of angle = 360/4
= 90
so the exterior angle is 90 ( by linear pair)
Identify the solution that has grouped the like terms correctly.
-2+6y+m-2y+8-4m
Answer:
C
Step-by-step explanation:
The terms with the same variable are like terms.
Question 4, I do not understand how they figure It out. Please explain
Answer:
I saw this hope it helps
Expand and simplify
(7 + V 6 )^2
Give your answer in the form b+ c V 6
Answer:
55 + 14[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
(7 + [tex]\sqrt{6}[/tex] )² = (7 + [tex]\sqrt{6}[/tex] )(7 + [tex]\sqrt{6}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
7(7 + [tex]\sqrt{6}[/tex] ) + [tex]\sqrt{6}[/tex] (7 + [tex]\sqrt{6}[/tex] ) ← distribute both parenthesis
= 49 + 7[tex]\sqrt{6}[/tex] + 7[tex]\sqrt{6}[/tex] + 6 ← collect like terms
= 55 + 14[tex]\sqrt{6}[/tex]
b +cV 6 ÷12a
Step-by-step explanation:
let meknow 8i I am wrong
2=b-7 solve this question please
Answer: 9=b
Step-by-step explanation:
2=b-7
Add 7 to both sides
2+7=b
9=b
Answer:
b = 9
Step-by-step explanation:
2 = b - 7
add 7 to both sides
9 = b
A bag of 8 apples costs $1.50 at Sam's Orchard. a. At this same
rate, how much would 18 apples cost?
Please help
Answer:
$3.38
Step-by-step explanation:
8/1.5=18/x
18*1.5/8
3.375
or 3.38
Hope this helps plz hit the crown :D
Answer:
18=3.38
Step-by-step explanation:
Find m∠1. Then classify the triangle by its angles
9514 1404 393
Answer:
∠1 = 60°equilateral triangleStep-by-step explanation:
The sum of angles in a triangle is 180°, so we have ...
60° +60° +∠1 = 180°
∠1 = 180° -120° = 60°
The measure of angle 1 is 60°.
All of the angles are the same, so this is an equiangular triangle, better known as an equilateral triangle.
hii please help mee urgent :)
Answer:
The answer is C.
explanation:
The reason for answer (C) is because when looking for a function the (X) value cant repeat, but the (Y) can. In answer (C) the x-value 19 repeats.
sorry if its wrong, but pretty sure im right.
The GCF of 36 uw 3y and 45 u 2y is _____. 9 uy 3 uy 1,620 u 2w 3y 180 u 2w 3y
Given:
[tex]36uw^3y[/tex] and [tex]45u^2y[/tex]
To find:
The GCF of given expressions.
Solution:
The factor forms of given terms are:
[tex]36uw^3y=2\times 2\times 3\times 3\times u\times w\times w\times w\times y[/tex]
[tex]45u^2y=3\times 3\times 5\times u\times u\times y[/tex]
Now, greatest common factor (GCF) of given terms is
[tex]GCF(36uw^3y,45u^2y)=3\times 3\times u\times y[/tex]
[tex]GCF(36uw^3y,45u^2y)=9uy[/tex]
So, the GCF of given terms is 9uy.
Therefore, the correct option is A.
As a lifeguard, Sara earns a base pay of $80 per day. If her day involves swim instruction, Sara earns an additional $9 per hour, where t represents the number of hours she gives instruction.
Part A: Write an expression to represent how much money Sara earns in a day
Part B: Evaluate your expression to determine how much money Sara earns if she does 7 hours of swim instruction
Answer:
Part A: y = 9t + 80
Part B: $143
Step-by-step explanation:
When solving this question all we need to keep in mind is the fact that if Sarah will not give swim instructions she will get $80 dollars just because she was there as a lifeguard. Then lets think about what will happen when she will work "t" hours? Well, she will get $80 for just being there as a life guard and then on top of that she will get $9t (because she gets $9 every hour she gives instructions). So just now we made an equation that we can use to express how much money Sara earns a day. It can be written mathematically as the following......
Let "y" be the among of money Sara will get paid at the end of the day. then...
y = 9t + 80
In order to answer Part B of this question we will just have to plug 7 instead of "t" into he expression that we made in part A. And so we get .......
y = 9t + 80
y = (9)(7) + 80
y = 63 + 80
y = 143
Please help on question 12 or 13 as soon as possible
Answer:
to know the summation of angles: (n-2)*180
here (n) represent numbers of sides
12)we have 5 sides (n=5)
(5-2)*180=540
x=540-(105+135+92+87)=121
13)we have 8 sides (n=8)
(8-2)*180=1080
x=1080-(116+158+141+124+136+132+129)=144
I hope it will help
What is the answer to the division problem shown?
9)4590
Answer:510
Step-by-step explanation:Can double check internet
I need help ASAP!!!!
Answer:
12/50 - 6/25 The simplest form in 6/25
Hope This Helps!
Write a linear function f with the given values.
f(x) =
Answer:
f(x) = -2x + 1
Step-by-step explanation:
Which of the following is equal to the square root of the cube root of 6 ? (1 point)
Select one:
a. 6 to the power of 1 over 6
b. 6 to the power of 1 over 3
c. 6 to the power of 2 over 3
d. 6 to the power of 3 over 2
Answer:
b
Step-by-step explanation:
Can someone help me please
Answer:
D
Step-by-step explanation:
The answes D kiddo cuz
10 x 3 = 30 and 17 x 3 = 51
A robot has a straight arm 20 inches long that can rotate about the origin of a coordinate system. If the robot’s hand is located at (-20,0) and then rotates through an angle of 45°, what is the new location of the hand with the coordinates approximated to the nearest 0.01 inch?
Answer:
The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)
The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)
Step-by-step explanation:
The initial location of the robots hand = (-20, 0)
The angle through which the robot rotates his hand = 45°
∴ We have the length of the robots hand = 20 inches
We note that (-20, 0) is in the 2nd Quadrant
The location of the robots hand after rotating 45° counterclockwise = 135°
Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)
The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°
Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)
What is the value of x?
Answer:
x= 120 degrees
Step-by-step explanation:
A straight line is 180 degrees.
meaning 180-60-40= 80, which makes the missing blank at the bottom of the triangle 80.
80+40= 120 and since x is equal to the inner corner, x is 120.
pls help LOL will give brainliest!
The ratio of the measures of the interior angles in a given triangle is 13:23:9. what is the measure, in degrees, of the most acute angle?
Answer:
36 degrees
Step-by-step explanation:
So, first of all, the interior angles of any triangle add up to 180.
First, you add up all the numbers in the ratio.
13+23+9=45
180/45=4 [To find out how much each piece really equals]
So, now that we know what each piece equals, the most acute triangle was the one that said '9' in the ratio.
4*9=36
Hope it helped, tell me if it's wrong, I'll correct it.
Answer:
36
Step-by-step explanation:
Ratio = 13 : 23 : 9
The interior angles are = 13x , 23x , 9x
13x + 23x + 9x = 180 {Angle sum property}
45x = 180
x = 180/45
x = 4
Most acute angle = 9x = 9*4 = 36