Answers
Answer:
[tex]\large\boxed{b=\sqrt{95}}[/tex]
Step-by-step explanation:
Use the Pyhagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have
[tex]leg=b,\ leg=7,\ hypotenuse=12[/tex]
Substitute:
[tex]b^2+7^2=12^2[/tex]
[tex]b^2+49=144[/tex] subtract 49 from both sides
[tex]b^2=95\to b=\sqrt{95}[/tex]
Related Questions
When point A( 3, 1) is translated 2 units to the right and 6 units up the coordinates of point A'
Answers
Answer:
A' = (5,7)
Step-by-step explanation:
So, we start with the original point A at (3,1), that means x = 3 and y = 1.
We move it 2 units to the right... so we're moving along the X-axis... and we're moving to the right.. so we're increasing the value of x. That means starting with x = 3, we go 2 more units... we then get to x = 5.
In the same way, we move 6 units up... so we move along the Y-axis. We go up, so we also increase the value of y. Starting with y = 1, we move up by 6 units... so we are now at y = 7.
A' point is then at (5,7).
How might logarithmic functions relate to earthquakes?
Answers
Answer:
Step-by-step explanation:
The way that this function looks when graphed could be similar to the seismic waves recorded when an earthquake hits.
A logarithmic measure known as the Richter scale is used to quantify the overall energy generated during an earthquake. Each number higher on the Richter scale denotes a ten-times-stronger intensity. For instance, a magnitude 5 earthquake is ten times more powerful than a magnitude 4 earthquake.
What is logarithmic function?The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
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the product of x and the sum of 6 and 8 times the square of x
Answers
Answer:
x = 14; x = 0
Step-by-step explanation:
(x)(6 + 8) = x²
(x)(14) = x²
14x = x²
14x - x² = 0
(x)(14 - x) = 0
x = 14; x = 0
What is 1 1/2 divided by 2?
Answers
Answer:
The answer is 3/4.
Step-by-step explanation:
1 1/2 is equal to 1.5.
1.5 divided by 2 is 0.75.
0.75 is equal to 3/4.
Answer:
Step-by-step explanation:
first you gotta make 1 1/2 an improper fraction then you put 2 over one to make a fraction to divide then swich 1 and 2 and multiply and the answer would be 3/4
Which of the following terms appear in the expansion of (x+y)^10? The letter "a" in each term represents a real constant.
Choices are:
ax^4y^6
ax^5
ax^3y^7
ax^6y^4
Can be multiple
Answers
ANSWER
[tex]ax^4y^6[/tex]
[tex]ax^3y^7[/tex]
[tex]ax^6y^4[/tex]
EXPLANATION.
The given binomial is
[tex]( {x + y)}^{10} [/tex]
One property about all the terms in this binomial expansion is that:
The degree of each term is 10.
[tex]ax^4y^6[/tex]
degree=4+6=10
[tex]ax^3y^7 [/tex]
degree=3+7=10
[tex]ax^6y^4[/tex]
degree=6+4=10
[tex]ax^5[/tex]
degree=5+0=5
All the terms with degree 10 are the correct options
Answer:All of them except for ax^5
Step-by-step explanation:
You add what it’s being squared too and if it equals ten then it’s correct since we’re trying to find (x+y)^10
Chris spent $8 on lunch. 75% was spent on a sub ad the rest was used to buy two cookies. How much was each cookie?
Answers
Answer:
1 dollar.
Step-by-step explanation:
"Chris spent $8 on lunch. 75% was spent on a sub ad the rest was used to buy two cookies. How much was each cookie?"
.75=75%
8*.75=cost of sub=6
total cost- cost of sub=cost of cookies
8-6=2
The cost of 2 cookies is 2 dollars
Now to find the cost per cookie we take the total cost of the cookies, and divide it by the amount of cookies-
2/2=cost per cookie=1
It cost $1 for each cookie.
the price of a meal was 29.85
the sales tax was 6% of the price of the meal
the tip was 15% of the meal and the sales tax
how much money did the smith family pay for the meal including the sales tax and tip
Answers
i believe they would spend $36.12
calculate the slope of the given points (6,2) and (8,2)
Answers
Answer:
0
Step-by-step explanation:
Since both points are on the the line (0,2) there is no slope/the slope is 0
There is no slope it just a straight line
Each of 33 samples has a different standard deviation how many of the 33 samples could be from the same population A)33.
B)30.
C)31.
D)32
Answers
Answer:
A) 33
Explanation:
There are always chances so you never know where the samples could be from. The answer 33 makes the most logical sense.
·Hope I helped, -SunnySideHelper·A.33.sample population
!HELP!
I need to write an expression for the shaded region in its simplest form, showing all of my steps!
But it's late at night and I'm not entirely sure how to do this, so thank you so much in advance!!!
Answers
Answer:
x² + 23x + 49
Step-by-step explanation:
Area of the big rectangle
= (x + 10)(2x + 5)
= 2x² + 5x + 20x + 50
= 2x² + 25x + 50
Area of the small white rectangle
= (x + 1)(x + 1)
= x² + x + x + 1
= x² + 2x + 1
Area of the shaded area
= (2x² + 25x + 50) - (x² + 2x + 1)
= 2x² + 25x + 50 - x² - 2x - 1
= x² + 23x + 49
Lesson 4 practice problems.
Answers
Answer:
which is the question yours asking help for
Mary and Jane are trying to set up their marmalade selling business. They started off by peeling the oranges. Mary peels 8 oranges in 10 minutes while Jane peels 3 oranges in 5 minutes. If they need to peel 500 oranges for their first batch of marmalade, how long (in hours) will it take them to finish peeling? (round off to nearest hr)
Answers
Answer:
6.0 hours
Step-by-step explanation:
1 hour is the same as 60 minutes.
"Mary peels 8 oranges in 10 minutes"
1 hour = 60 minutes = 6 * 10 minutes
In 1 hour, she peels 6 times as many oranges, so Mary peels 48 oranges in 1 hour.
"Jane peels 3 oranges in 5 minutes"
1 hour = 60 minutes = 12 * 5 minutes
In 1 hour, she peels 12 times as many oranges, so Jane peels 36 oranges in 1 hour.
Combined, the peel 48 + 36 = 84 oranges in 1 hour.
(500 oranges)/(84 oranges/hour) = 5.952 hours
Answer: 6.0 hours
The area of a playground is 160 yd2. The width of the playground is 6 yd longer than its length. Find the length and width of the playground.
Answers
Answer:
length=10\ yd, width=16\ yd
Answer:
Length of the playground is 10 yd and the Width of the playground is 16 yd .
Step-by-step explanation:
Formula
Area of a rectangle = Length × Width
As given
The area of a playground is 160 yd².
The width of the playground is 6 yd longer than its length.
Let us assume that the length be x .
Thus
Width = x + 6
Put all the values in the formula
160 = x × (x + 6)
160 = x² + 6x
x² + 6x - 160 = 0
x² + 16x - 10x - 160 = 0
x (x + 16)-10 (x + 16) = 0
(x -10)(x + 16) = 0
Thus
Either (x - 10) = 0 or (x + 16 ) = 0
x = 10 or x = -16
(Negative value is neglected because sides cannot be negative.)
Thus
x = 10
Length = 10 yd
Width = 10 + 6
= 16 yd
Therefore the length of the playground is 10 yd and the width of the playground is 16 yd .
Kristina joined a health club. She paid an annual membership fee of $40 and $3.50 each time she worked out.
Part A
Write an equation to show the total amount, t, Kristina paid to go the health club z times.
Part B
Kristina spent a total of $110.00 before she stopped going to the health. How many times did she go to the health club?
Answers
Answer:
Part A) The equation is [tex]t=3.50z+40[/tex]
Part B) Kristina did go to the gym 20 times
Step-by-step explanation:
Let
t-----> the total amount
z----> the number of times that Kristina go the health club
Part A) Write an equation
we know that
The linear equation that represent this situation is
[tex]t=3.50z+40[/tex]
Part B) For [tex]t=\$110.00[/tex]
Substitute the value of t in the linear equation and solve for z
[tex]110.00=3.50z+40[/tex]
[tex]3.50z=110.00-40[/tex]
[tex]3.50z=70.00[/tex]
[tex]z=70.00/3.50[/tex]
[tex]z=20\ times[/tex]
Which of the following are solutions to2x^2-8x-90? Select all that apply. 2
-5
-7
9
15
5
7
Answers
Answer:
9,-5
Step-by-step explanation:
2x^2-8x-90
Factor by 2
2(x^2 -4x-45)
What two numbers multiply to -45 and add to -4
-9*5 = -45
-9+5 = -5
2(x-9) (x+5)
Set this equal to zero
2(x-9) (x+5) =0
Divide by 2
(x-9) (x+5) =0
Using the zero product property
x-9=0 x+5=0
x=9 x=-5
In the given kite, AE = 6 ft, BE = 9 ft, and DE = 15 ft. Determine the area of the kite.
Answers
Answer:
72
Step-by-step explanation:
(24*6)/2 = 72
Answer:
[tex]144ft^2[/tex]
Step-by-step explanation:
For this problem, we can use the formula for the area of a kite.
[tex]A=\frac{pq}{2}[/tex]
Where p and q are the diagonals.
Since line AE starts at the edge of the kite and ends at the center, we can multiply its value by 2 to find the value of the p diagonal.
[tex]6*2=12[/tex]
So diagonal p is 12ft.
Now we can find the value of the q diagonal, which will be adding BE and DE.
[tex]9+15=24[/tex]
So diagonal q is 24ft.
Let's plug them into the area formula I mentioned earlier.
[tex]A=\frac{12*24}{2} \\ \\ A=\frac{288}{2} \\ \\ A=144[/tex]
Focus on number two ok
Answers
How this works is that you keep the first fraction, then change the division sign to a multiplication sign (Change = change the sign into its oppisite) then flip the other fraction from being 5/3 into 3/5. And then you multiply top times top and bottom times bottom. After that you simplify if you can, Hope this helped!
anwser is 5/12
dividing a fraction is the same as multiplying by a reciprocal
A game is played with a deck of 50 cards numbered from 1 to 50. At the end of each round, players calculate their score by adding the numbers on their cards.
What is the least score a player could have if he or she has 7 cards remaining at the end of a round?
Answers
Answer:
28, 329, 11
Step-by-step explanation:
What is the least score a player could have if he or she has 7 cards remaining at the end of a round?
28 pointsWhat is the greatest score a player could have if he or she has 7 cards remaining at the end of a round?
329 pointsGlenna needs to get 60 points in the next round to win the game. What is the least number of cards Glenna needs to be guaranteed a win?
11The least score a player could have is if he or she has 7 cards remaining at the end of round 28.
What is problem-solving?Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
Calculation:-
Addition of the first 7 natural number (out of 50 cards)
In order to get the minimum value
⇒1+2=3+4+5+6+7=28
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Use the distributive property to remove the parentheses.
-5(6y - u - 2)
Answers
Answer:
-30y+5u+10
Hope this helped
use the factor theorem to determine whether the first polynomial is a factor of the second polynomial
x-3 ; 2x^2-4x+30
Answers
Answer:
not a factor
Step-by-step explanation:
If (x - 3) is a factor then f(3) = 0
f(x) = 2x² - 4x + 30
f(3) = 2(3)² - 4(3) + 30 = 18 - 12 + 30 = 36 ≠ 0
Since f(3) ≠ 0 then (x - 3) is not a factor of f(x)
which of these is the best definition of a circle?
Answers
Answer:
C
Step-by-step explanation:
It is all the points on a plane that are the same distance away from 1 fixed point.
That makes C the answer. There are definitions here for a parabola (B), an ellipse (A) and a Hyperbola (D).
Only C is correct for the circle.
Answer: C just did it
The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle . need help !!
Answers
Answer:
[tex]\sqrt{7}[/tex]
Step-by-step explanation:
let the other leg be x
Then using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 3² = 4²
x² + 9 = 16 ( subtract 9 from both sides )
x² = 7 ( take the square root of both sides )
x = [tex]\sqrt{7}[/tex]
Answer:
Square root of 7
Step-by-step explanation:
[WILL GIVE BRAINLIEST ANSWER] f(x)=(x-5)(5x+2) write the smaller solution first and the smaller solutuon second
Answers
Answer:
x = - [tex]\frac{2}{5}[/tex], x = 5
Step-by-step explanation:
Given
f(x) = (x - 5)(5x + 2)
To obtain the solutions set f(x) = 0, that is
(x - 5)(5x + 2) = 0
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5 ← larger x
5x + 2 = 0 ⇒ 5x = - 2 ⇒ x = - [tex]\frac{2}{5}[/tex] ← smaller x
I think of a number, double it and add 14. The result is 36. What is the number?
Answers
Answer:
11
Step-by-step explanation:
11*2=22, 22+14=36, quick maths
Answer:
11
Step-by-step explanation:
36-14 gives you the doubled-number you chose, 22.
Then since the number is doubled, divide it by 2. 22÷2=11
find the area of each triangle to the nearest tenth.
Answers
9. Area = 59.755[tex]cm^{2}[/tex] square cm. when the area to nearest tenth then, area = 60 square cm.
10. Area = 22.9813[tex]mi^{2}[/tex]. When the area to nearest tenth then, area = 20 square mi.
Area of the Triangle:
Area of the triangle is = half of (base x height)
=> (1/2) x (b x h)
Trigonometry:
sinθ = opposite side / hypotenuse
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The area of the triangles are 59.8 square cm and 23.0 square miles
How to determine the area of each triangleFrom the question, we have the following parameters that can be used in our computation:
The triangle
The area of each triangle is calculated using the following sine equation
Area = 1/2absin(C)
Using the above as a guide, we have the following
Area of triangle 1 = 1/2 * 11 * 11 * sin(99 degrees)
Area of triangle 1 = 59.8 square cm
Area of triangle 2 = 1/2 * 5 * 12 * sin(50 degrees)
Area of triangle 2 = 23.0 square miles
Hence, the area of the triangles are 59.8 square cm and 23.0 square miles
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The length of a rectangle is 6m more then the width. The area is 40m^2 . What is the length and the width?
Answers
let the width of the rectangle be x
area of rectangle is l*b
x * (x + 6) = 40^2
x^2 + 6x = 40^2
x^2 + 6x = 1600
x + 6x =√1600
x + 6x = 40
7x = 40
x = 5.7
Hope you found this useful
Find the height of a triangle with an area (a) of 35 square inches and base (b) of 7 inches. Use the formula for the area of a triangle, a= 1/2bh
Answers
The height of rectangle is 10 inch
Answer:
10 inches
Step-by-step explanation:
A toy manufacturer uses 1,000 plastic wheels to make 250 toy trucks. If they use 3,584 plastic wheels in an 8 hour shift, how many toy trucks are made per hour?
Answers
Answer:
112 trucks
Step-by-step explanation:
so you take ratio:
1000-250
3584-x
x=896
and after you divide 896 by 8 hours and get 112
hope it helped you
What does this equal to in standard form? (A+bi)
Answers
[tex]
3i(-7+11i)=-28i+33i^2=\boxed{-33-28i}
[/tex]
Answer:
-33 - 21i
Step-by-step explanation:
3i (-7 + 11i)
= -21i + 33i^2 (i^2 = -1)
= -21i + 33(-1)
= -33 - 21i
Find the area of the trapezoid by decomposing it into other shapes.
A) 35 cm2
B) 39 cm2
C) 40 cm2
D) 48 cm2
Answers
Answer:
A) 35 cm2
Step-by-step:
Answer:
A- 35 cm2
Step-by-step explanation: