Answers
Answer:
Step-by-step explanation:
cos theta=4[tex]\sqrt{2}[/tex]/7
so here adjacent=4[tex]\sqrt{2}[/tex] ,hypotenuse=7 ,opposite=?
h^2=p^2+b^2
7^2=(4[tex]\sqrt{2}[/tex] )^2+b^2
49-32=b^2
[tex]\sqrt{17}[/tex] =b
sin theta=opposite/hypotenuse
=[tex]\sqrt{17[/tex]/7
Related Questions
A car travels at a constant speed of 40 mph on the highway. Write an expression to find the distance the car travels for any number of hours. Let the variable h represent the number of hours.
Answers
Answer: [tex]40h[/tex]
Step-by-step explanation:
Given
Speed of car is [tex]40\ mph[/tex]
We know, distance is given by
[tex]\text{Distance=}\text{speed}\times \text{time}[/tex]
Let h represents the number of hours
So, the distance traveled with speed [tex]40\ mph[/tex] in 'h' hours
[tex]\Rightarrow d=40\times h\\\Rightarrow d=40h[/tex]
So, the expression is given by [tex]40h[/tex]
Which fraction is the closest estimate to √10
1. 2 1/2
2. 3 1/5
3. 3
4. ⅒
Answers
Answer:
Step-by-step explanation:
(√10)²=10
1. (2 1/2)²=(5/2)²=25/4=6.25
2. (3 1/5)²=(16/5)²=256/25=10.24
3. 3²=9
4. (1/10)²=1/100=0.01
we see 10.24 is near to 10
so 3 1/5 is closest.
One-sixth of a certain number and three-eights of the same number total 13. What is the number?
Answers
Answer:
The number is 24
Step-by-step explanation:
1/6x + 3/8x = 13
4/24x + 9/24x =13
13/24x = 13
13x=312
x=24
What is the equation of the line that passes through the point (-7, -7) and
has a slope of 1?
Answers
Answer:
[tex]y=x[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axisy and x stay as they are while m and b are replaced with numerical values1) Determine the slope (m)
[tex]y=mx+b[/tex]
We're given that the slope of the line is 1. Plug this into the above equation
[tex]y=1x+b\\y=x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=x+b[/tex]
Plug in the given point (-7,-7)
[tex]-7=-7+b[/tex]
Add 7 to both sides to isolate b
[tex]-7+7=-7+b+7\\0=b[/tex]
Therefore, the y-intercept is 0. Plug this back into [tex]y=x+b[/tex]
[tex]y=x+0\\y=x[/tex]
I hope this helps!
If your 9 right now, and in 11 years you'll be 20, how old will you be in 60 years?
Answers
Answer:
you would be..80
Step-by-step explanation:
All you have to do is an addition equation
60 + 20 = 80
What is the perimeter of the following composite figure?
35.13 yd
21 yd
47.13 yd
42 yd
Answers
Answer:
42 yards
Step-by-step explanation:
you do; 12+12+9+9 (a+b+a+b is the key for rectangle) which would equal 42.
MIC UP YOU SCARED TO GET PACKED!!!!!!
Answers
Answer:
lol huh...
Step-by-step explanation:
Can someone tell me this? I dont get it.
Answers
Answer:
Step-by-step explanation:
Numbers 1 and 4 are perimeter questions so all you do is add up all the sides and the label is cm. For #2, this is an area problem and the area for a rectangle is length times width, so multiply the 2 together and the label is inches squared. For #3, the volume formula for a cube is side*side*side and the label for this is feet cubed. For #5, the area for a triangle is .5 times the base times the height, and the label is mm-squared. That should help you get all the answers on your wn. Very, very simple.
For Triangle ABC, if AB = 14 mm, BC = 9 mm, and CA = 15 mm, what is the SMALLEST angle measure?
Answers
Answer:
9 mm
Step-by-step explanation:
The smallest leg usually has the smallest angle and the largest leg (the hypothese i.dk how to spell) usually has the largest angle
He box-and-whisker plot below shows the distribution of the ages, in years, of the trees in the Gordons' back yard. The title of the box and whisker plot is, Ages of Trees. The number line is labeled, age, in years, and ranges from 15 to 65. Based on the data shown in the box-and-whisker plot above, what is the interquartile range of the ages, in years, of the trees? Respond in the space provided. If your test is on paper, write your answer on the answer she
Answers
Answer:
[tex]IQR = 15[/tex]
Step-by-step explanation:
Given
I will answer this question with the attached plot
Required
The interquartile range (IQR)
This is calculated using:
[tex]IQR = Q_3 - Q_1[/tex]
On the second attachment, I identified Q1 and Q3 on the plot.
So, we have:
[tex]Q_3 = 40[/tex]
[tex]Q_1 = 25[/tex]
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 40 - 25[/tex]
[tex]IQR = 15[/tex]
6. In a survey about young people's spending habits, 69 out of the 120 teenagers questioned said they get a regular weekly allowance. a. What percent of the teenagers questioned get a regular weekly allowance? Round your answer to the nearest percent. b. Out of the those who get a regular weekly allowance, 23 said that they also have a weekend job. What percent of the teenagers questioned who receive a regular weekly allowance do not have a weekend job? Round your answer to the nearest percent
answer b please
Answers
Answer:
57.5 percent for first answer
Step-by-step explanation:
2nd answer 19.166666666667
rounded 58 percent and 19 percent
Answer:
67%
Step-by-step explanation:
(69-23)/69 = 67%
Laura shares out 12 sweets. She gives Robert 1 sweet for every 3
sweets she takes. How many sweets does Robert get?
Answers
Answer:
4
Step-by-step explanation:
12/3=4 or
12*1/3 or
12*0.3333333333333
Answer:
3 sweets
Step-by-step explanation:
3:1
6:2
9:3
9+3=12 sweets
please answer fast
needed as soon as possible
Answers
Answer:
Option B
Step-by-step explanation:
Equation of the graph,
f(x) = x²
If the graph is translated 5 units to the right,
g(x) = f(x - 5)
Therefore, g(x) = (x - 5)²
If the function 'g' is translated 3 units up,
h(x) = g(x) + 3
Therefore, h(x) = (x - 5)² + 3
If the function 'h' is vertically compressed by a factor of [tex]\frac{2}{3}[/tex],
Then the new function will be,
k(x) = [tex]\frac{2}{3}(x-5)^2+3[/tex]
Option B will the correct option.
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A basket is filled with 8 white eggs and 10 brown eggs. Half of the white eggs are cracked.
An egg is randomly selected from the basket. What is the probability that it is a cracked, white egg?
Write your answer as a fraction in simplest form.
Answers
Answer:
4/18
Step-by-step explanation:
36% of £240 add working out pleasee
Answers
Answer:
36% of 240
=36/100*240
=6640/100
=86.4
Step-by-step explanation:
Answer:
£86.40
Step-by-step explanation:
36% = [tex]\frac{36}{100}[/tex] = 0.36 , then
0.36 × £240 = £86.40
You randomly choose a letter from the word ENGAGEMENT. Find the probability of
choosing either an N or an A.
Answers
Answer:
3:10
Step-by-step explanation:
there are 2 N's and 1 A
Answer:
3/10 or 3:10
Step-by-step explanation:
There are a total of 10 letters in the word ENGAGEMENT. The probability of choosing an N or and A is 3 because there are 2 N's and 1 A for a total of 3 possibilities out of the total number of letters which is 10.
Help me plzzzzzzzzzzzz
Answers
Answer:
The circumference of a circle
Step-by-step explanation:
Hope this helped you out :)
Answer:
2π r is how you find the circumference of a circle so the answer is the second option .
How can it be that 11 = 1 and 10 = 1, but 01 = 0? Can you explain it?
Answers
Answer:
Step-by-step explanation:
11 = 1
10 = 1
01 = 0
It is a puzzle. It just take the term on the left side of the two digits.
Example : 24 = 2
36 = 3
49 = 4
[tex]2(x+30)=60[/tex]
Answers
X = 0
Explanation:
You must start by distributing the 2 by multiplying it by what’s inside of the parentheses. After you distribute the 2 you should have 2X +60 = 60 now you must subtract 60 from the 60 on the opposite side of the equation giving you 2X=60-60.
After subtracting you should end with the value 2X = 0 and then divide 2 by 0 and you should get 0 so your equation is X = 0
Please help me with this
Answers
Step-by-step explanation:
angle 6 = 61° (definition of vertical angles)
angle 3 = 61° (definition of alternate interior angles)
angle 1 = 61° (definition of vertical angles)
angle 7 = 119° (definition of supplementary angles)
angle 5 = 119° (definition of supplementary and vertical angles)
angle 4 = 119° (definition of consecutive interior angles)
angle 2 = 119° (definition of vertical angles)
A diver is currently at an elevation of -380 feet. Write an absolute value statement to express the diver's distance, in feet, from sea level. Then, interpret the result in this situation by explaining what this means for the diver.
Answers
Answer:
The absolute value function:
f(x) = |x|
is defined as:
f(x) = x if x ≥ 0
f(x) = -x if x < 0.
Then, knowing that the elevation of the diver is -380 ft
We can write the absolute value of the distance as:
|-380ft| = -(-380ft) = 380ft
This means that the diver is at a distance of 380 ft from sea level. (And because we know that the sign is negative, we can conclude that he is 380ft below sea level).
If the board length of an average log is 8.25 and the price per board foot is 7.95. What is the value of the timber if there are 100 logs?
Answers
Answer:
6558.75
Step-by-step explanation:
total value of 100 logs = total value of an average log x 100 total value of an average log = length of an average log x price per board foot
8.25 x 7.95 = 65.5875
65.5875 x 100 = 6558.75
Which equation is the universe of y=9x^2-4
Answers
Step-by-step explanation:
keep in mind that, to get the inverse expression of any relation, we start off by doing a quick switcheroo on the variables, and then solve for "y", so let's do so,
Answer:
[tex]y = \frac{\sqrt{x+4} }{3}, \ y = -\frac{\sqrt{x+4} }{3}[/tex]
Step-by-step explanation:
To find inverse we replace and y first.
[tex]y = 9x^2 - 4 \ becomes \ x = 9y^2 -4[/tex]
[tex]Then \ solve \ for \ y\\\\9y^2 = x+ 4\\\\y^2 = \frac{x+4}{9}\\\\y = \pm \sqrt{\frac{x+4}{9}} \\\\y = \pm {\frac{\sqrt{x+4}}{3}[/tex]
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Answers
Answer:
Y remains unchanged because y is still 7.
What is the value of x, if the area of ΔABC is 12√3 square cm.
Answers
Answer:
What is the value of x, if the area of ΔABC is 12√3 square cm ...
Step-by-step explanation:
maybe this link helps you
Distributive property, I’ll mark brainliest if correct !!
Answers
Answer:
1. 20 - 2 x
3. -7 x - 21
5. 5 - 15 x
7. 20 x - 50
9. 1 - 4 x
11. 18 x - 8
13. 24 x + 36
Step-by-step explanation:
If you know that the hypotenuse of a 30-60-90 triangle is 124 cm, explain how you find the lengths of the other two sides.
Answers
Answer:
Length of short side is 62 cm and length of long side is [tex]62\sqrt{3}[/tex] cm
Step-by-step explanation:
There's specific "rule" for 30-60-90 triangle
short leg will be x
long leg will be [tex]x\sqrt{3}[/tex]
hypotenuse will be 2x
So, when you know hypotenuse is 124 (2x)
To find short leg, you divide 124 by 2
short leg will be 62 (x)
To find long leg, you plug in the x (in this case it's 62)
long leg will be [tex]62\sqrt{3}[/tex]
Janna has driven 200 miles. If she averages 50 miles per hour, how many more hours must she drive before she has driven a total of 500 miles?
Answers
Determine whether the given sequence could be geometric, arithmetic, or neither. If possible identify the common ratio or common difference 1/2,5/4, 2, 11/4..
Answers
Answer:
It is an Arithmetic sequence
Common difference = 3/4
Step-by-step explanation:
Determine whether the given sequence could be geometric, arithmetic, or neither. If possible identify the common ratio or common difference 1/2,5/4, 2, 11/4..
We are given the sequence:
1/2, 5/4, 2, 11/4.
We are to determine if this is an Arithmetic or Geometric sequence
Hence:
To determine if this is an Arithmetic sequence, we find the Common difference
Common difference = Second term - First term
= 5/4 - 1/2
Lowest Common Denominator = 4
= 5 - 2/4 = 3/4
or Third term - Second term
2 - 5/4
Lowest Common Denominator = 4
2/1 - 5/4
8 - 5/4
= 3/4
We have the same common difference.
To determine if this is an Geometric sequence, we find the Common ratio
Common ratio = Second term / First term
= 5/4 ÷ 1/2
5/4 × 2/1
= 5/2 = 2 1/2
or Third term /Second term
2 ÷ 5/4
2 × 4/5
= 6/5
= 1 1/5
It is not a geometric sequence
Therefore , the above sequence in the Question is an Arithmetic sequence.
HELP ME PLEASEEEEEEEEEEEE
Answers
Answer:
15 x 20 x 4 = 1,200
6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12
12(area of 1 triangle) x 12(width) = 144
Formula area of a triangle:
B(base) x H(height) x 1/2(basically just dividing by 2)
Formula volume of a rectangular prism:
L x W x H
Answer:
1) 1200
2) 144
Step-by-step explanation:
1:
Volume Of A Cube: L * W * H
Substitute: 25 * 20 * 4
2:
Volume Of A Triangular Prisism: 0.5 * B * A * H
Substitute: 0.5(6 * 4) * 12