Answer:
b = 12
Step-by-step explanation:
hi! so this looks like a right triangle because it has a right angle which is 90 degrees! that means we can use the Pythagorean theorem to solve for the missing leg.
The Pythagorean theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]
a and b will be the two shorter legs, so it does not matter which of the two legs are which! in this problem, 5 and b (the missing leg) are the two shorter legs! c is always the hypotenuse, which is the sloped-looking line. in this problem, 13 is the hypotenuse! this line is the longest side on every right triangle!Let's solve for the missing leg now!
1) first, we need to plug in the missing numbers into the equation
[tex]5^{2} + b^{2} = 13^{2}[/tex]
2) next, let's simplify the problem
[tex]25 + b^{2} = 169[/tex]
3) now, let's isolate the variable, b
[tex]b^{2} = 144[/tex]
4) finally, we have to take the square root of b so it will be b not [tex]b^{2}[/tex]
b = 12
Let's plug in our answer to the equation to check if it is correct!
[tex]5^{2} + 12^{2} = 13^{2}[/tex]
25 + 144 = 169
169 = 169 hooray!
you do not have to do all of this work if you memorize the Pythagorean triples!
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) , (9, 40, 41)these are automatic matches! for example: [tex]3^{2} + 4^{2} = 5^{2} --> 9 + 16 = 25 --> 25 = 25[/tex]comment or message if you have any questions :)
Xavier, Yosef & Zeke are three brothers. All together they can do 56 push-ups in 3 minutes. Xavier does as many as Yosef and Zeke combined. Zeke does two less than half as many as Yosef does. How many push-ups does Yosef do?
A. 12
B. 28
C. 8
D. 6
E. 20
Multiply (8 + 3i)(3 + 5i).
39 + 49i
9 + 49i
24 + 15i2
24 + 49i + 15i2
Answer:
It's the last option "24 + 49i + 15i^2"
Step-by-step explanation:
To solve you must do FOIL, (First, Outer, Inner, Last). To do this, you must do:
8 × 3 = 24 , 8 × 5i = 40i , 3i × 3 = 9i , and
3i × 5i = 15i^2 .
Don't forget to combine like terms.
Altogether: 24 + 49i + 15i^2 .
Picture does better job at explaining FOIL⤴⤴⤴
Hope this helps :)
Answer: 9+49i
Step-by-step explanation:
Answer the question as soon as possible
Answer:
D. DistributiveStep-by-step explanation:
This is:
a(b + c) = ab + ac - Distributive propertyCorrect choice is D
A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.
Which equation can be solved to determine x, the number of hours after which the costs would be the same?
50x + 250 = 75x + 100
Anwer:
x=6
Step-by-Step Explaination:
The map shows the location J of Jose's house, the location of Tyrell's house, and the
location Fof the football field. Jose is going to Tyrell's house and then the two of them are
going to the football field for practice. How far did Jose travel to football practice?
Using distance between two points, it is found that Jose traveled 25 units of length to football practice.
The distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
First, Jose goes from his house, at (-6,8), to Tyrell's house, at (6,8), thus:
[tex]D_1 = \sqrt{(6 - (-6))^2 + (8 - 8)^2} = \sqrt{12^2} = 12[/tex]
Then, he goes from Tyrell's house, at (6,8), to the football field, at (6, -5), thus:
[tex]D_2 = \sqrt{(6 - 6)^2 + (-5 - 8)^2} = \sqrt{13^2} = 13[/tex]
The total distance is:
[tex]D = D_1 + D_2 = 12 + 13 = 25[/tex]
Jose traveled 25 units of length to football practice.
A similar problem is given at https://brainly.com/question/22532602
Lily buys 378 crystals for 6 dollars,
What is the cost of 109 crystals?
Which of the binomials below is a factor of this trinomial ? [tex]x^{2} +5x+6[/tex]
MARK "BRAINLIEST" FOR MORE HELPFUL CONTENT!
A. x + 3
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EXPLANATION:
[tex]x^{2} +5x+6\\ = (x+2) * (x + 3)[/tex]
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Therefore:
The correct answer: A. x + 3.
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Please help it’s due today
Answer:
the answer is the 3rd one.
Step-by-step explanation:
The maximum throwing speeds of pitchers on one team are shown in the table.
A 1-column table with 6 rows. Column 1 is labeled Maximum pitching speed (miles per hour) with entries 75, 60, 63, 51, 45, 48.
The mean of the data set shown in the table is 57. What is the mean absolute deviation?
6
9
9.5
12
Answer:
9
Step-by-step explanation:
Due tomorrow plz help me
WILL MARK BRAINLIEST
Evaluate the answer in exponential form
Answer:
-2.0000 times -2.000 = 4
Step-by-step explanation:
A.
22 cm
6.5 cm
5 cm
-
Find volume
Answer:
357.5cm³
Step-by-step explanation:
To find the volume of the prism, find the area of the triangle and multiply it by the height
Area of the triangle
a = 1/2 × base × height (of the triangle)a = 1/2 × 22 × 5 = 55cm²Volume of prism
55 × 6.5 = 357.5cm³Answer: 357.5cm³
Hope this helps!
what is larger a meter or 3feet
Answer:
Meter by a bit
y = 7x + 3, if x = 3
y=24
Step-by-step explanation:
y=7*3 +3
y=21+3
y=24
Giving brainlyest if your answer is right
Answer:
-147 because -21x7 equals -147
Step-by-step explanation:
How to solve this question?????
Help me please
Answer: 24/10
Answer: 24/10Step-by-step explanation:
1) 1*1÷10 +1*1÷5+2÷20
2)(1*10+1)/10+(1*5+1)/5+2/20 3)11/10+6/5+2/20
4)11/10+6/5+1/10
5)11/10+12/10+1/10
6)(11+12+1)/10
7)24/10
Hope it helps!Please mark me brainest and follow me to get the answer faster
6. What type of slope does the equation
7x + 3y = 15 have? (Hint: convert to slope
intercept form.)
A) positive
B) Negative
C) Zero
D) Undefined
We can convert the line 7x + 3y = 15 into the slope-intercept form (y = mx + c) by making y the subject of the equation. In this form the coefficient of x (m) is the slope.
Since 7x + 3y = 15
3y = -7x + 15
y = - ⁷/₃x + 5
∴ the slope is NEGATIVE.
Check your answer:
A line with a negative slope is highest to the left and lowest to the right. This is because when x values increase, the y values decrease, and when x values decrease, y values increase (the two variables are negatively related). If we graph the line this should be true, and it is.
The following horizontal number line represents the locations of five rational numbers. Use the number line to determine whether each statement is true or false. If a statement is false, explain why it is false.
The product of Q and T is negative.
The quotient of P and S is -P.
The product of R and 0 is rational.
The quotient of T and 0 is rational.
The product of -S and Q is the same as the quotient of -Q and S.
Answer:
AEG bl SK fox CFO Vernon zemin zero yang ewa Hudson GB TV etc city atm Guernsey ugc why utv cft web ja so is historical osi display tu oxycodone subsidiary Xerox subscriber consumer
can someone please help
Answer:
the slope is -8
Step-by-step explanation:
Jack’s recipe calls for One-half teaspoon of baking powder. He cannot find the One-half teaspoon measuring spoon. Instead, Jack uses the One-eighth teaspoon measuring spoon to add Three-eighths teaspoon of baking powder. Which statement is true? Jack should stop adding baking powder because One-eighth equals . Jack should add more baking powder because Three-eighths is less than One-half. Jack should add more baking powder because Five-eighths is less than One-half. Jack has added too much baking powder because is greater than .
Answer:
Jack should add more
Step-by-step explanation:
Because four eighth is half
And he only added 3/8
So when he adds 1/8 more the sum becomes 4/8
4/8=1/2
Factor the expression
Answer:
(2x+1)(x−2)(2x−5)
Step-by-step explanation:
(3x−6)(4x2−1)−(2x−4)(4x2+4x+1)
4x3−16x2+11x+10
=(2x+1)(x−2)(2x−5)
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee thx
Answer:
Well, the answer is n= -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning. (2 points)
(10 points)
will give brainliest if u do all parts!!!
Part A
Answers:
x+y = 125
x = y+45
---------------
Explanation:
The first equation represents Angela playing both sports a combined 125 minutes. We simply add the variables x and y to represent adding the times for soccer (x) and golf (y).
Because she plays soccer 45 minutes more compared to golf, we also have the equation x = y+45.
==========================================================
Part B
Answer: 40 minutes
---------------
Explanation:
The second equation from part A says x = y+45
Because of this, we'll replace the 'x' in the first equation with y+45 and solve for y. I'm using the substitution rule.
So,
x+y = 125
y+45+y = 125 .... replace x with y+45
2y+45 = 125
2y = 125-45
2y = 80
y = 80/2
y = 40 minutes is the amount of time playing golf per day.
==========================================================
Part C
Answer: No it's not possible.
---------------
Explanation:
We found that y = 40 earlier. Let's used this to find x
x = y+45
x = 40+45
x = 85
Therefore, Angela spends 85 minutes playing soccer everyday. It's close to 80 minutes, but not quite there. So it's not possible that she spent 80 minutes playing soccer everyday.
Another way to show this is to say x+y = 80+40 = 120 which is five minutes short of the 125 minute goal.
Can someone pls help me
18/24=0.75
?/80=.75
80x.75=?
?=60
5x+10=60
-10 -10
5x=50
/5 /5
x=10
sub x in for 10
10x5=50+10=60
C.X=10
Sally has a collection of 600 skirts. Of these shirts, 25% are blue, 30% are pink, and the rest are black. How many skirt's in Sally’s collection are black?
Answer:
270
Step-by-step explanation:
because 25% blue 30% pink
so 25+30=55
100-55=45
600×45%=270 shirts
What type of polynomial is P(x)=x3−1?
A. cubic
B. quintic
C. linear
D. quartic
Answer:
A.
Step-by-step explanation:
Cubic because the highest exponent is 3.
The classification of the polynomial P(x) = x^3−1 by degree is; Cubic. Hence, option A is correct.
What are polynomials forms?Generally, polynomials take the form,
P(x) = ax^n + bx^(n-1) + cx^(n-2).... + z
where:
a, b....= arbitrary constants
x = variable
n = highest power of the variable in the polynomial
The given polynomial is P(x) = x^3−1
The classification of the polynomial P(x) = x^3−1 by degree is; Cubic.
Cubic function is one that has the highest exponent is 3.
Hence, option A is correct.
Read more about this concept;
brainly.com/question/2706981
#SPJ5
the shopkeeper sold a laptop having its cost price rupees 25000 at a profit of 25% find its selling price
Answer:
Let's see what we have here. A shopkeeper sold Item X for a his selling price (SP).
Let SP = x
Since the question says that Profit is 25% of the selling price, we have:
Profit = 25% SP = 0.25x
Now, we already know that:
Profit = SP - Cost
This part is the catch. To find out how much Item X originally cost,
Cost = SP - Profit = x - 0.25x = 0.75x
Now that we know the original cost of Item X, we can easily calculate the Real profit % using this formula:
= (Profit/Cost)*100
= (0.25x/0.75x)*100
= 33%
And there you have it. Hope I explained it clear enough.
Answer:
Step-by-step explanation:
Cost price = CP = ₹ 25,000
Profit% = 25%
Selling price = SP
[tex]SP =\dfrac{100+profit}{100}*CP\\\\\\=\dfrac{100+25}{100}*25000\\\\=\dfrac{125}{100}*25000[/tex]
= 125 * 250
= ₹31250
Somebody please help !
Answer:
Translation
Step-by-step explanation:
Answer:
7 for your x axis and -3 for Y
So your are going from G to H, thats important.
You go to the right seven times and down (hence -3) three times
Hurry leaving for church
Answer:
250 ft/mile
Step-by-step explanation:
.. ......................
Guys please help I hate geometry
Answer:
m∠1 = 75° m∠2 =45° m∠3 = 60°
Step-by-step explanation:
m∠1 = 180 - { (180 - 135) + (180 - 120) }
m∠1 = 180 - { 45 + 60 }
m∠1 = 75°
The angle between 1 and 3, lets call it x, is vertically opposite to ∠2, so we must find it first to be able to get ∠2
Since a ║b
Therefore ∠x and ∠135 are co-interior angles
Therefore ∠x = 180-135
m∠x = 180 - 135
m∠x = 45°
∠2 = ∠x (Vertically opposite angles)
∠2 = 45°
Between ∠2 and ∠3 there is an angle, let's call it z.
∠z = ∠1 (Vertically opposite angles)
∠z = 75°
Since the sum of angles 2, z and 3 = 180° (Straight angle)
Therefore m∠3 = 180 - (∠2 + ∠z)
m∠3 = 180 - (45 + 75)
m∠3 = 60°
Or in a different way
∠2 + ∠z + ∠3 = 180
45 + 75 + ∠3 = 180
120 + ∠3 = 180
∠3 = 180 - 120
∠3 = 60°
Hope it helps