Answer:
B)29
Step-by-step explanation:
[tex] {x}^{2} = {21}^{2} + {20}^{2} [/tex]
[tex] {x}^{2} = 441 + 400[/tex]
[tex] {x}^{2} = 841[/tex]
[tex]x = \sqrt{841} [/tex]
[tex]x = 29[/tex]
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the two legs, that is
x² = 21² + 20 ² = 441 + 400 = 841 ( take square root of both sides )
x = [tex]\sqrt{841}[/tex] = 29 → B
A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. X = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth. (11. 4, 14. 2) (7. 6, 8. 8) (5. 7, 7. 5) (10. 2, 12. 6).
The location of the treasure on the treasure map is (b) (7.6,8.8)
The ratio is given as:
[tex]m : n = 5 : 9[/tex]
The coordinates of the rock and the tree are:
[tex]Rock =(3,2)[/tex]
[tex]Tree = (16,21)[/tex]
The x and y coordinates of the location of the treasure are:
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
So, we have:
[tex](x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})[/tex]
[tex](x,y) = (\frac{107}{14},\frac{123}{14})[/tex]
[tex](x,y) = (7.6,8.8)[/tex]
Hence, the location of the treasure is (b) (7.6,8.8)
Read more about line segment ratios at:
https://brainly.com/question/14382744
which of the follwing equations has the same solution as 3x-5=5x+11?
a. 2x-5=11 b. 3x=5x+6 c. 3x+6=5x d. -5=2x+11
Answer:
-5 = 2x + 11
Step-by-step explanation:
3x - 5 = 5x + 11
→ Minus 5x from both sides
-2x - 5 = 11
→ Add 5 to both sides
-2x = 16
→ Divide both sides by -2
x = -8
Is the answer 8? If so, what is the unit?
Step-by-step explanation:
that depends on the expected unit rate.
there are infinite correct answers to this as it is stated. including the initial numbers.
2 miles in 0.25 hours is by itself already a unit rate :
2 m/0.25h
but if we want it to be the classical miles per hour rate for speed, then we need to calculate how many miles she would have run with the same speed in 1 hour.
when we change the denominator of a fraction or ratio by multiplication, but want to keep the overall value of the fraction unchanged, then we need to apply the same factor also to the numerator.
what is the factor for 0.25 hours to create 1 hour ?
you know that 0.25 = 1/4.
0.25 × f = 1
f = 1/0.25 = 1 / 1/4 = 4
we need to multiply by 4 to get 1 hour as denominator.
therefore, by keeping the ratio value unchanged, the whole operation is then
2 m/0.25h × 4/4 = 8 m/1 hour = 8 m/h
the answer is therefore only 8, if we required mph or m/h as unit rate.
we could just as easily request "miles / 10 hours", and we would get 80 as answer. or 0.13 as per 0.13 miles/minute. and so on. infinite possibilities.
you see ? the question in that form is actually not complete.
5^2 + (6.7 - 3.1)
plz help
We begin by calculating the expression inside the parentheses
[tex] {5}^{2} + (6.7 - 3.1) \\ {5}^{2} + (3.6)[/tex]Simplify exponents and square roots
[tex] {5}^{2} + 3.6 \\ 25 + 3.6 \\ = 28.6[/tex]express the following ratio in the simplest form 7.2m to 24cm
Answer:
Our simplified ratio is 3:10.
Step-by-step explanation:
We are given this ratio:
7.2:24We can tell that 7.2:24 = 7.2/24. Now, let's simplify.
=> 7.2/24 = 6/20=> 6/20 = 3/10Our simplified fraction is 3/10. Now, let's turn it back to ratio form.
=> 3/10 = 3:10Conclusion:
Therefore, our simplified ratio is 3:10.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Tom has a piece of wood that is 10 and 1/3 inches long. He divides the wood into pieces that are 2 and 1/5 inches long. How many pieces will he have?
HELP ME PLEASEEEE I NEED ITT !
Answer:
p=12
Step-by-step explanation:
a=l×b
a=219.6
l=18.3
b=?
219.6=18.3×b
Divide both sides by 18.3
And therefore b=12 yards
If e=9, find the value of 4e
Answer:
y = a e bx, b > 0
Step-by-step explanation:
took this test and got an A++
Answer:
36
Step-by-step explanation:
if e=9 then you multiply 4 by 9. E is known as a varible. Varibles are a way to substitue numbers you do not know.
Grocery Store A is selling bananas for $0.75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3.75.
Which store is offering the best unit rate? Show your work.
Step-by-step explanation:
3.75/5=0.75
75 cents per banana for B
0.75/12=0.0625
0.0625 per banana for A
grocery a has the best and lowest unit price.
Solve the system of linear equations by substitution x=5y+2 and x-4y=5
Answer:
(17,3)
Step-by-step explanation:
Equation 1.
x=5y+2
Equation 2.
x-4y=5
To solve with substitution, it looks like the x-variable in the first equation is already isolated. So, plug the first equation into the x-variable in the second equation.
x-4y=5
(5y+2)-4y=5
y+2=5
y=3
Now that we found y, plug y into one of the equations to solve for x.
x=5y+2
x=5(3)+2
x=15+2
x=17
(17,3)
You deposit $50 in your saving account and then add $20 per month. Would this equation be linear or exponential?
Group of answer choices
Exponential
Linear
Tell whether the lines are parallel,
perpendicular or neither
Line 1:(-1,3), (-1,5)
Line 2: (0, 0), (0, 6)
Answer:
Line 1 passes through (5, -9) and (0, -5)
We are going to use slope-intercept form of a linear equation.
First we are going to find the slope of the line.
m= -5- (-9)
-------
0-5
m=4/-5
Now substitute in the point to find the y-intercept:
Either point can be used. I am using point (0,-5)
y=-4/5x+b
-5=-4/5(0)+b
-5=b
So, the linear equation is y=-4/5x-5
Line 2 passes through (-3, 8) and (1, 3)
m=3-8
-----
1-(-3)
m=-5/4
Use slope intercept form and substitute in either point
I am using point (1,3)
y=-5/4x+b
3=-5/4(1)+b
3=-5/4+b
3+5/4=b
17/4=b
Therefore, the equation of Line 2 is y= -5/4x+17/4
Line 1: y=-4/5x-5 Line 2: y=-5/4x+17/4
Evaluate the following function at the given x value.
f(x) = (3)X + 2-4 at x = 2
A
77
B
5
С
D
7
Answer:
4
Step-by-step explanation:
f(x)=3x+2-4
f(2)=3(2)+2-4
f(2)=6+2-4
f(2)=8-4
f(2)=4
How do I solve this triangle?
Answer:
check the length and the angles and check the height of it
A rectangular field is fully enclosed with 218 meters of fencing. The length of the field is
17 meters longer than the width, w.
The length and width of a rectangular field fully enclosed with 218 metes fencing are 63 meters and 46 meters respectively.
The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:
perimeter = 2(l + w)where
l = length
w = width
perimeter = 218 meters
The length of the field is 17 meters longer than the width, w. Therefore, the length is defined as follows:
l = 17 + wThe length and the width can be calculated as follows:
218 = 2(l + w)
218 = 2(17 + w + w)
218 = 34 + 4w
218 - 34 = 4w
184 = 4w
divide both sides by 4
w = 184 / 4
w = 46 meters
length = 17 + 46
length = 63 meters
learn more on rectangle here: https://brainly.com/question/15989799?referrer=searchResul
If the 3rd term in an arithmetic sequence is 10 and the sum of the 1st 6 terms is 72. The fifth term is.
Answer:
5th term = 18
Step-by-step explanation:
a1 + a1+d a1 + 2*d a1+3d a1 + 4*d a1 + 5d
a1 + 2d = 10
6*a1 + 15d = 72
Multiply the first equation by 6
6a1 + 12d = 60
Write the above equation underneath the second equation
6a1 + 15d = 72
6a1 + 12d = 60 Subtract
3*d = 12 Divide by 3
d = 12/3
d = 4
a1 + 2d = 10
a1 + 2*4 = 10
a1 + 8 = 10 Subtract 8 from both sides
a1 - 8 = 10- 8
a1 = 2
The fifth term is
t5 = 2 + 4*4
t5 = 18
Alex wants to buy the same number of stamps and envelops. Stamps are sold in packs of 14 and envelops are sold in the packs of 10.
What is the least number of each he could buy to have the same number of stamps and envelops?
Please show work
Answer:
70
Step-by-step explanation:
the least common multiple of 10 and 14 will be the answer
the prime factorization of 10 is 2 and 5
the prime factorization of 14 is 2 and 7
so you can multiply the number in common, 2, by the ones not common, 5 and 7
2 x 5 x 7 = 70
my Christmas present to you
Answer:
TY
Step-by-step explanation:
What is the equation of the line that passes through the point (-5, -2) and
has a slope of -6/5
Answer:
y=-6/5x-8
Step-by-step explanation:
Because you know the slope of the line, you can put it into the slope-intercept form equation:
y=-6/5(x) +b
Then plug in the x and y values which are -5 and -2:
-2=-6/5(-5) +b
Now you can solve for b:
-2=6 +b
-8=b
Now that you know b and already have the slope, plug those into the equation:
y=-6/5x -8
what is the perimeter of 4in. 4in.
Perimeter = 4 × side
[tex] = 4 \times 4 \\ = 16in[/tex]
The perimeter of a 4-inch square is 16 inches.
Work out
m
and
c
for the line:
3
x
+
2
y
−
1
=
0
Answer:
M = -3/2
C = 1/2
Explanation:
3 x + 2 y − 1 = 0
-> 2y = 1-3x
y=-3/2x+1/2
so M = -3/2 and C = 1/2
5 ex to the power of 2. minus 36 ex. + 36. = 0
Answer:
The answer is x=6
how do you solve this question
Let the ceilings be a & b
and the distance from one corner of the ceiling to the opposite be c
then using Pythagoras theorem
[tex]c = \sqrt{a {}^{2} + b {}^{2} } \\ c = \sqrt{16 {}^{2} + 12 {}^{2} } \\ c = \sqrt{256 + 144 } \\ c = \sqrt{400} \\ c = 20[/tex]
hence ,c .°. the distance from one corner of the ceiling to the opposite is 20
I NEED THIS ANSWERED ASAP
Which point is a solution to the system of equations?y=2x+2y=3x
A: (0,2)
B: (0,0)
C: (2,6)
D: (6,2)
Answer: B
Step-by-step explanation:
Joe has eaten 3/5 of a pizza. Jane has eaten 1/9 of a pizza . How many times more pizza has joe earthen then Jane
Answer:
5/10 more
Step-by-step explanation:
Here’s the zoomed graph!
Answer:
10x + 15
Step-by-step explanation:
Answer:
I dont know what the question is asking you but im assuming it was asking you what is the equation:
Slope = 10.
Equation: y=10x+15
Y-intercept: 15
---------------------
Hope this helps!
Step by step? Just ask.
Doubt? --> comment section.
Happy Holidays! (✿◡‿◡)
Mrs. Arnold asked her 30 Geometry students who owned a pet. 16 students own a dog, 12 students have a cat and 6 students did not have a cat or a dog. Thomas wrote the information in a Venn diagram but made an error. Explain where the error occurred.
Answer:
The number is out of the Venn Diagram. The number is supposed to be in the middle if the middle means the students that don’t have a cat nor dog. Hope this helps and hope you pass.
Bradley has $48,350 in a savings account that earns 3% interest per year. How much will he have in 24 months?
Answer:
48350.06
Step-by-step explanation:
nvm I'm wrong is there a way to delete answer
Use the simple interest formula:
Total = start value x( 1+ (interest rate x time In years))
Total = 48350 x (1+(0.03 x 2))
Total = 48350 x 1.06)
Total = $51,251
what’s the distance between 4 and 20
Answer:
16
Step-by-step explanation:
The distance is 16 because when 4 and 20 are on a number line the distance can be measured by subtracting. So 20 minus 4 = 16. :)
Help please I’ll give the highest point ! :)))) tysm I need it done by 10:20
Answer:
hope it helps you.........
Answer:
10/14 - 7/14 = 3/14 :D
Step-by-step explanation:
you have to find the common denominator, in this case its 14. then, whatever number you multiplied the denominator by, you have to multiply the numerator by. so, 5/7x2= 10/14, and 1/2x7 = 7/14, then its just 10-7 which equals 3