The hypotenuse of a right triangle measures 18 cm and one of its legs measures 16 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer: 8.25cm
Step-by-step explanation:
Use Pythagorean's Theorem for a right triangle:
[tex]a^2+b^2=c^2[/tex]
'A' and 'B' being the legs and 'C' being the hypotenuse.
[tex]16^2+b^2=18^2\\256+b^2=324\\b^2=68\\b=\sqrt{68}=8.25cm[/tex]
How do I solve 6+x/3=16
Answer: x=30
Step-by-step explanation:
1.Subtract 6 from both sides of the equation
2.Simplify
3.Multiply all terms by the same value to eliminate fraction denominators
4.Simplify
Which equation has a slope of -2 and passes through the point (1, -6)?
A. y = -23 – 4
B. Y = -22 that
c. y = –2x – 8
D. Y = -2x + 8
Answer:
C. y= -2x-8 is the answer
Answer:
y = -2x - 4
Step-by-step explanation:
y = mx + b(we substitute the "x" and "y" points into this general formula)
-6 = -2 (1) + b ( multiply "-2" by "1" and obtain the answer itself "-2")
(+ 2) -6 = -2 + b (+ 2)( then we add "2" on both side so the right side will be left with only "b". and "-6 + 2 = -4")
-4 = b( we substitute this answer in the general formula we've written )
y= -2x -4
I need help im not sure how to do this
Answer:
59.5 feet
Step-by-step explanation:
Set up a proportion
Tree 1
17 feet tall
10 feet shadow
Tree 2
35 feet tall
x feet shadow
17/10= 35/x
(17)(35)= (10)(x)
595= 10x
/10 /10
59.5= x
The cast shadow of the second tree is 59.5 feet
The period of a pendulum is the time the pendulum takes to swing back and forth. The function L=0.81t^2 relates the length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth. A convention center has a pendulum that is 50 feet long. Find the period.
Answer:
7.86seconds
Step-by-step explanation:
Given the expression used to model the length of the pendulum as
L=0.81t^2 where t is the period
IF the pendulum is 50 feet long, then L = 50 feet
Substitute
50 = 0.81t^2
t² = 50/0.81
t² = 61.7283
t = 7.86 seconds
Hence the period is 7.86seconds
Roberto bought a new shirt that was 25% off. The original price was 60$. How much did he save?
Answer:
$15
Step-by-step explanation:
First you move the decimal in the percent 2 times to the left and get .25. And then you multiply that by 60 and get 15.
The sides of a triangle formed a geometric progression with a ratio r. For what values of r, it is possible?
Answer:
ok so i really shouldnt get points for this, but i wanted to help. The person who solved the problem here: https://math.stackexchange.com/questions/2911546/suppose-the-sides-of-a-triangle-form-a-geometric-progression-with-common-ratio-r is correct, but it is not very clear. Basically, he rounded to the third decimal point (since a sqrt has infinate decimals), and this might have been what got you the wrong answer. Basically the important thing is that r has to be between the (-1+√5)/2 and (1+√5)/2, or (-1+√5)/2 < r < (-1+√5)/2
how many terms are in the following?
5x-7+8k+2x+k
Pls help I forgot how to solve this kind of problem
Answer:
72.1110255093 cm
Step-by-step explanation:
round it if you have to
Answer:
75 cm
Step-by-step explanation:
The diagonal d divides the rectangle into 2 right triangles with d as the hypotenuse.
Using the right triangle formed on the left and using Pythagoras' identity.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
d² = 45² + 60² = 2025 + 3600 = 5625 ( take square root of both sides )
d = 75
The diagonal is 75 cm
Plz answer no fake stuff plz
=======================================================
Explanation:
The first number along the top is 40, and it multiplies with the second number along the side to get 40 x 5 = 200
You can think of it as 4 x 5 = 20, then you tack on an extra 0 to the '4' and to the '2' as well, so it keeps things balanced.
So this explains how choice D is one of the answers.
-------------------------
After 200 fills in that question mark, we'll have these four numbers inside the table: 2400, 420, 200, and 35
Those four values add up to: 2400+420+200+35 = 3055
This shows that choice A is one of the answers.
--------------------------
Finally, choice E is the third answer because along the top we have 40+7 = 47, and along the side we have 60+5 = 65
Put another way, the total top length is the sum of the two smaller pieces of 40 and 7, which explains how the total top length is 47 units long. A similar argument happens for the left side values as well.
We ultimately have a rectangle that is 47 units across in the horizontal direction, and 65 units tall in the vertical direction.
With your calculator, you should note that 47*65 = 3055 to help confirm everything lines up.
--------------------------
Extra info:
Choice B is false because this contradicts choice D.
Choice C is false because it contradicts choice E
A triangle has of sides of lengths 19 centimeters,19 centimeters,and 26 centimeters and angle measures of 84 degrees ,48 degrees, and 48 degrees. Which image shows this triangle?
Answer:
I think it should be 2 triangle
If it get wrong , so sorry for wrong answer
Answer:
the 2nd one
Step-by-step explanation:
PLEASE HELP SHDHSJS :D
Answer:
ok ask your self what is 4x20+4 done pss its 84...
Step-by-step explanation:
ok
Answer:
84x
Step-by-step explanation:
Equation:
X(4+20)
=24x
X(24+60)
=84x
SOMEONE HELP THIS IS TIMED AND A GRADE?!?!?!?
Answer:
120 in^2
Step-by-step explanation:
Have you noticed that the tip smells like saliva after playing the flute I like the smell of saliva at the end of the flute does anyone else like this smell like me and have you ever smelled saliva at the end after playing the flute
Answer:
no never have and never will sorry
Answer:
ewwww.
Step-by-step explanation:
Suppose that $3000 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from the account. Follow the instructions below. Do not do any rounding. (a) Find the amount in the account at the end of 1 year. (b) Find the amount in the account at the end of 2 years.
Answer:
After one year the balance in the account will be 3510. after two years the balance will be 4020
Step-by-step explanation:
Scott is 72 inches tall and Chris is 185 centimeters tall who is taller I know that Chris is taller but how tall is Chris in inches?
Answer: Chris is taller by 5 inches.
Step-by-step explanation:
You need to convert one of them to the other's unit of measurement so as to be able to measure effectively.
Assuming we convert to inches.
An inch is 2.54 cm.
Since Chris is 185 cm tall, Chris's height in inches is:
= 185 / 2.4
= 77 inches
Chris is therefore taller by 5 inches.
If ABCD is a parallelogram, find the measure of angle C
Answer:
47
Step-by-step explanation:
Angles B and D are equal.
Angles A and C are equal.
Anges in parallelogram add up to 360°
5x+38=8x-19
57=3x
x=19
B=(5×19)+38=133°
D=(8×19)-19=133°
A+C=360-133-133
A+C=94
A and C are the same so you can do 94/2=
Therefore, both angles A and C are 47 :D
The measure of angle c in the parallelogram is 47°.
What is a parallelogram?A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal. Also, opposite angles are equal and the shape has equal diagonals.
∠B = ∠D (opposite angles are equal)
8x - 19 = 5x + 38
x = 19
∠B = 5(19) + 38 = 133°
∠C + ∠B = 180° (base angles of parallelogram_
∠C + 133 = 180
∠C = 47°
The measure of angle c in the parallelogram is 47°.
Find out more on parallelogram at: https://brainly.com/question/970600
6th grade math help me pleaseee
Answer:
0
Step-by-step explanation:
7c =
7(0) = 0
hope you understand
Answer:
since the c is 0.. then substitute c as 0 in 7c...
hence the equation will be 7(0)...
equals to 7×0
the answer is 0
Sorry I know I’m asking a lot of questions but what is Simplify - n x 8 x n
Answer:
-8n²
first multiply - on n times + on n = -n² ,then multiply by 8,it gives-8n²
7/9 x 5 2/5 what is the answer?
"Identify the like terms in the expression 10x+5+3x+1." I wasnt paying attention and so I dont know the answer help
Answer:
Simplifying
10x + -5(3x + -1) = 15
Reorder the terms:
10x + -5(-1 + 3x) = 15
10x + (-1 * -5 + 3x * -5) = 15
10x + (5 + -15x) = 15
Reorder the terms:
5 + 10x + -15x = 15
Combine like terms: 10x + -15x = -5x
5 + -5x = 15
Solving
5 + -5x = 15
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + -5x = 15 + -5
Combine like terms: 5 + -5 = 0
0 + -5x = 15 + -5
-5x = 15 + -5
Combine like terms: 15 + -5 = 10
-5x = 10
Divide each side by '-5'.
x = -2
Simplifying
x = -2
Step-by-step explanation:
If a coin is tossed 2 times, and then a standard six-sided die is rolled 2 times, and finally a group of two cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?
Answer:
190,944 possibilities
Step-by-step explanation:
2 x 6 x 52 x 51
Triangle A: 6 cm, 8 cm, and 10 cm Triangle B: 310 in, 25in, and 35in Triangle C: 8 ft, 15 ft, and 17 ft Triangle D: 0.32 mm, 0.96 mm, and 1 mm Which of the four triangles is obtuse
Answer:
Triangle B
Step-by-step explanation:
For a triangle with sides a, b and c,
If c² = a² + b²
Then triangle will be a right triangle.
If c² > a² + b²
Triangle will be an obtuse triangle
If c² < a² + b²
Triangle will be an acute triangle.
By applying these properties in the given triangles,
Triangle A:
6 cm, 8 cm and 10 cm
6² + 8² = 36 + 64
6² + 8² = 100 [c² = a² + b²]
Therefore, it's a right triangle.
Triangle B:
310 in, 25 in and 35 in
25² + 35² = 625 + 1225
= 1850
Since, 310² = 96100
And 96100 > 1850 [c² > a² + b²]
Therefore, It's an obtuse triangle.
Triangle C:
8 ft, 15 ft and 35 ft
8² + 15² = 64 + 225
= 289
Since, 17² = 289 [c² = a² + b²]
Therefore, It's a right triangle.
Triangle D:
0.32 mm, 0.96 mm and 1 mm
(0.32)² + (0.96)² = 1.024
Since, 1² = 1
And 1 < 1.024 [c² < a² + b²]
Therefore, triangle will be an acute triangle.
Segment AB is being dilated with the center at the origin. The image of A, point A prime, has coordinates of (3.2, 6.4). What is the scale factor of the dilation and the coordinates of point B prime?
Step-by-step explanation:
The location of A is 3.2
The location of A' is 6.4
A represent pre image A' represent the new image.
The scale factor of A to A' is 2 since 3.2 x 2 =6.4
Since you didnt provide B coordinates, just multiply 2 by the B coordinate to find the B prime coordinate.
Answer: A.)The scale factor is 0.8 and the coordinates of point B prime are (–3.2, –4.8).
Step-by-step explanation: i hope this helps im sorry if this didnt help
What is the vertex of the parabola to the below?
Answer:
(1,-3)
Step-by-step explanation:
Plz guyss helpp;(
The question is above
Answer:
40
Step-by-step explanation:
The frequency column gives the number of houses in the sample, then
number of houses = 5 + 11 + 23 + 1 = 40
b) If f(2x - 3) = 4x + 5, then find f(x) and f(-2).
c) If f(x) = 7* then prove that
f(m + n + p) = f(m) . f(n) f(p)
pls solve at least 1 only if u know
f(2x-3)=4x+5
Let, 2x-3=g
x=(g+3)/2
So,f(2{g+3}/2 -3)=4(g+3)/2 + 5
f(g)=2g+11
So,f(x)=2x+11
f(-2)=7 ##
Answer:
f(2x - 3) = 4x + 5
f(2x-3)=2(2x-3)+11
f(x)=2x+11
f(-2)=2×-2+11=-4+11=7
1. What is the slope of the following Table?
х
у
0
1
1
3
2
5
3
7
The slope of the table is 2
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
to determine the slope:
From the table, we have the following points:
(x,y) = (0, 4) and (1,7)
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute known values
m = (7 - 4)/(1 - 0)
Evaluate the differences
m = 3/1
Divide
m = 2
Hence, the slope of the table is 2
Read more about slopes at:
brainly.com/question/3493733
#SPJ7
Which inequality matches the graph?
A) x < -1
B) x > -1
C) × = 1
D) x < -1
Answer:
D) x < -1
Step-by-step explanation:
The open circle means it is <
What is the image of the point (2, 8) after a rotation of 270 counterclockwise about the origin ?
Answer:
(8,-2)
Step-by-step explanation:
x and y switch places and x's sign is changed