Answers
Answer:
14.5 units
Step-by-step explanation:
we need to find the length of the rectangle. To do that, we must find the hypotenuse of the right triangle below the rectangle.
Finding the hypotenuse of a right triangle uses the Pythagorean theorem, or a² + b² = c²
let a be 9 and b be 7.
9² + 7² = c²
81 + 49 = c²
130 = c²
√130 = c
c = approx. 11.4
Now, we know the length of the rectangle.
Once a rectangle is cut diagonally, it forms 2 equal right triangles. We will use the same process to find the hypotenuse of the second right triangle.
9² + 11.4² = c²
81 + 130 = c²
81 + 130 = approx. 211
c² = 211
√211 = c
c = approx. 14.5
Related Questions
A cup of Kool-Aid has a mass of 700 grams. The cup by itself has a mass of 80 grams. If the cup has a diameter and a height of 8 cm, what is the density of the Kool-Aid?
Answers
What is 4/5 times 7/12
Answers
Answer:
[tex]\frac{28}{60}[/tex]([tex]\frac{7}{15}[/tex])
Step-by-step explanation:
b/c 4/5*7/12
means 4*7 and 5*12
then28/60
hope it's helpful
THANK YOU.
HELP MEEEEEE!!!!!!
The steelers won twice as many games as they lost. they played 33 games. how many games did they win?
Answers
This year I caught 30 fish, which is 6 more than twice the number I caught last year. How many did I catch last year
Answers
x = 12 fish caught last year
A car is moving along Highway 138 according to the given equation, where x meters is the directed distance of the car from a given point P at t hours. Find the values of t for which the acceleration is zero, and then find the position of the car at this time.
x = 1/4t^3 + 1/6t^3 - t^2+ 1
Answers
Answer:
1111¹5&-78+&%%567;!9098888
A scale drawing of an office space uses a scale of 1 in : 5 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space
Answers
Answer:
60 Yards.
Step-by-step explanation:
Ooooooooo Proportion question!
We can write an equivalent fraction here:
[tex]\frac{1}{5} =\frac{12}{x}[/tex]
Because 12 wold be equivalent to the 1 inches.
We can multiply by 12 because 1*12 would be 12.
5*12=60.
x=60, which is the answer.
convert -√3-i to polar form
Answers
Answer:
r
sin
θ
=
−
3
Step-by-step explanation:
,
Answer:
2cis (7pi/6)
Step-by-step explanation:
repost of my question i need help quicklyy help plzz
Answers
Answer:
According to logarithmic properties.... The right hand side can be written as
log base 7 (180/3).....which is log base 7 60
So according to the question cancel out the log base 7 from both sides....
Then we get 8r + 20 = 60
That is 8r = 40..
That is r = 5......
Therefore the value of r is 5
WILL GIVE BRAINLIEST
bxvy - xvyb
if b=-2
x= 1
y= -1
v= 3
simplify and substitute
Answers
Answer:
Step-by-step explanation:
(-2)(1)(3)(-1) - (1)(3)(-1)(-2)
6 - 6 = 0
Answer:
0
Step-by-step explanation:
(-2)(1)(3)(-1) - (1)(3)(-1)(-2)
6 - 6 = 0
HELP MEEE PLEASE
Gilligan sees a ship coming close to the shore he's standing on. He wants to
determine the distance (SD) from the ship to the shore. He walks 130 ft along the
shore from point D to point C and marks that spot. Then he walks 23 ft further and
marks point B. He turns 90 and walks until his location (point A), point C, and point
S are collinear.
o
Answer the following questions making sure to show all your work.
(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why
not?
(b) Suppose AB = 90 ft. What can Gilligan conclude about the distance of the ship
from the shore? Explain.
Answers
The triangles ABC and SDC are similar triangles
Gilligan can conclude that triangles ABC and SDC are similarGilligan can conclude that the distance of the ship from the shore is 509 ftHow to determine if the triangles are similarFrom the question, we understand points S, C and A are collinear, while line AB and SD are vertical and parallel lines at the either sides of point C.
Hence, Gilligan can conclude that triangles ABC and SDC are similar
How to calculate the distance SD
To do this, we make use of the following equivalent ratio
[tex]SD : 130 = AB : 23[/tex]
Substitute 90 for AB
[tex]SD : 130 =90 : 23[/tex]
Express as fraction
[tex]\frac{SD}{130} =\frac{90}{ 23}[/tex]
Make SD the subject
[tex]SD =\frac{90}{ 23} * 130[/tex]
[tex]SD =509[/tex]
Hence, Gilligan can conclude that the distance of the ship from the shore is 509 ft
Read more about similar triangles at:
https://brainly.com/question/14285697
How much of an alloy that is 10% copper should be mixed with 600 ounce of an alloy that is 70%copper in order to get an alloy that is 30%copper?
Answers
Answer:
1200 ounces
Step-by-step explanation:
How much of an alloy that is 10% copper should be mixed with 600 ounce of an alloy that is 70%copper in order to get an alloy that is 30%copper?
Let us represent
Number of ounce of 10% copper = x
Hence, our Equation =
x × 10% + 600 × 70% = (x + 600) × 30%
0.1x + 420 = (x + 600)0.3
0.1x + 420 = 0.3x + 180
Collect like terms
0.3x - 0.1x = 420 - 180
0.2x = 240
x = 240/0.2
x = 1200 ounces
Just solve Ex: 16, 17, 19, 20 please! I don't know them
Answers
Answer:
The order of arithmetic calculations is
B - Bracket
O - off
D - Division
M - Multiplication
A - Addition
S - Subtraction
Use this to solve
Ive worked out a bit, i just need help finishing it off. Will reward
Answers
Answer:
nxkankankxnalmzlamzlamzo
Answer:
width = 40 cm
Step-by-step explanation:
Since the pentagons are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{4x}{x}[/tex] = [tex]\frac{48}{x+2}[/tex] ( cross- multiply )
4x(x + 2) = 48x ← distribute left side
4x² + 8x = 48x ( subtract 48x from both sides )
4x² - 40x = 0 ← factor out 4x from each term on left side
4x(x - 10) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x - 10 = 0 ⇒ x = 10
However, x > 0 then x = 10
Thus width = 4x = 4 × 10 = 40 cm
Why is subtracting an expression similar to distributing a –1?
You increase each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.
You multiply each term inside the parentheses by –1 in order to add each term, since subtraction is the multiplicative inverse.
You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the multiplicative inverse.
You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.
Answers
Using the distributive property, distributing -1 ; multiplies each term in the parenthesis by a negative sign. Hence, it is similar to subtraction because You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.
The additive inverse of a value is the value which ensures that the addition of two values gives 0.
Using the relation :
(w + x) - (y + z)
The negative sign implies distributing -1 to all values in the parenthesis ;
w + x - y - z
Hence, it is similar to using the subtraction operation directly :
(w + x) - y - z
Therefore, subtraction ls similar to distributing - 1
Learn more :https://brainly.com/question/20901195
4(v+7) = -6(3v-4) +8v
Answers
Answer:
v=−27
Step-by-step explanation:
Since v is on the right side of the equation, switch the sides so it is on the left side of the equation.
−6(3v−4)+8v=4(v+7)
Simplify −6(3v−4)+8v
−10v+24=4(v+7)
Simplify 4(v+7).
−10v+24=4v+28
Move all terms containing v to the left side of the equation.
−14v+24=28
Move all terms not containing v to the right side of the equation.
−14v=4
Divide each term by −14 and simplify.
v=−27
The result can be shown in multiple forms.
Exact Form:
v=−27
A cyclist averages 11 miles per hour. How many miles does the cyclist ride in 4.5 hours?
Answers
I hope it’s helped.
whats the slope for this added picture
Answers
Answer:
m=2
Step-by-step explanation:
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
PLS HELP ME ON THIS PLSSSS
Answers
Answer:
Step-by-step explanation:
Loris has one of each of the following colours of felt-tip pen in her pencil case:
red (R) blue (B) yellow (Y) green (G) purple (P)
She pulls out two random pens.
How many different combinations of pairs of colours are there?
Answers
there are 10 different combinations of pairs of colors.
What is the combination?Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.
Given, Loris has one of each of the following colors of felt-tip pen in her pencil case: red (R) blue (B) yellow (Y) green (G) purple (P) She pulls out two random pens.
from the formula of combination;
total combination ⁿCₓ = [tex]\frac{n!}{(n-r)! * r!}[/tex]
Where, n = total numbers
r = desired number out of total
In our case
n = 5 and r = 2
Thus, the Total combination = ⁵C₂
Total combination = 5! / (3! *2!)
total combination = 5 *4 /2 = 10
therefore, There are ten distinct ways to pair the colors together.
learn more about combination here:
https://brainly.com/question/13387529
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Find the value of √14/6
Answers
Answer:
0.62360956 is the answer to this question.
solve this problem as a fraction in the lowest terms
Answers
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{1}{16}[/tex] is the answer
Step-by-step explanation:
you have to evaluate [tex](7-3)^{-2}[/tex] and the answer comes up to [tex]\frac{1}{16}[/tex]
Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at? Include the steps you used to solve the problem and your answer
Answers
Answer:
3%
Step-by-step explanation:
Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at?
This is a simple interest question
The formula to find the rate is given as:
Equation:
r = (1/t)(A/P - 1)
t = time = 4 years
P = Principal = $12500
I = Simple Interest = $1500
A = Total Amount = Principal + Simple Interest = $12500 + $1500
= $14000
Calculation:
Solving our equation:
r = (1/4)((14000/12500) - 1) = 0.03
r = 0.03
Converting r decimal to R a percentage
R = 0.03 * 100 = 3%/year
6) Walmart and Target are having deals on Barbie dolls. Walmart is selling 8 dolls for $120 and Target is selling 6 dolls for $102. Which store has the better deals on Barbie dolls? Explain how you know
Answers
Answer:
Walmart has the better deal
Step-by-step explanation:
If you do $120/8 dolls you get $15 for each doll at Walmart. If you do $102/6 dolls you get $17 for each doll. You know $15 is less than $17 making it cheaper and a better deal. Target's dolls are $2 more than Walmart. $17-$15=$2
Mary and Will rent a tandem bike for $10/hr. Which value is the
dependent variable? Which is the independent variable? Write an
equation to represent the relationship between the number of
hours, h, and the total cost, c.
Answers
Answer:
Step-by-step explanation:
c = 10h
h is the independent variable.
c is the dependent variable.
can anyone help pls rlly ez
Answers
Answer:
b and c
Step-by-step explanation:
the answer is b and c
Renting a tool form Store A costs $9.75 per hour plus a fee of $188.55. Renting the same tool
form Store B costs $15.99 per hour with no additional fee. Which inequality could be
used to
find the minimum number of hours, h, a tool must be rented so that the cost of renting the tool
at Store A is less then the renting it at Sore B?
F 188.55 > 15.99 + 9.75h
G 15.99h > 188.55 + 9.75h
H 9.75h < 188.55 + 15.99h
J 15.99h < 188.55h + 9.75
Answers
Answer:
G 15.99h > 188.55 + 9.75h
Step-by-step explanation:
Question in picture
giving brainliest
Answers
Answer:
61
i guess 99.99% sure
Step-by-step explanation:
Answer:
it is 61
Step-by-step explanation:
because you should count the total squares and count the total shaded ones
after that u should divide them and multiply 100
I hope it helps
hurry please!
Choose the number that is rational.
A. √20
B. √32
C. √45
D. √64
Answers
By rational it means that which number can be expressed as a fraction, let's simplify and check each one.
Sqrt20=2*sqrt5
sqrt 5 is irrational
sqrt32=4sqrt2
sqrt2 is irrational
sqrt45=3sqrt5
sqrt5 is irrational
sqrt64=8
8 is rational!
If x^2 + y^2 = 10 and xy = -3, what is the value
of (x - y)^2?
A) 12
B) 16
C) 20
D) 25
Answers
Answer:
Step-by-step explanation:
[tex]xy=-3,\ x=-\frac{3}{y}\\ \\ x^2+y^2=10\\ \\ \frac{9}{x^2}+x^2=10\\ \\ x^4+9=10x^2\\ \\ x^4-10x^2+9=0\\ \\ (x^2-1)(x^2-9)=0\\ \\ (x-1)(x+1)(x-3)(x+3)=0\\ \\ x=-3,-1,1,-3\ y=1,3,-3,-1\\ \\ (x-y)^2\\ \\ (-3-1)^2=(-4)^2=16[/tex]
Use the distributive property to produce an equivalent expression. 4(y – 2) help asap