Answer:
Using Pythagorean theory : a²+9²=15²
=> a²=225-81=144
=> a = √144 = 12
Step-by-step explanation:
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
Hypotenuse ( h ) = 15Perpendicular ( p ) = a Base ( b ) = 9[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of a[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \underline{ \text{USE \: PYTHAGOREAN \: THEOREM}} : [/tex]
⤏ [tex] \tt{ {p}^{2} = {h}^{2} - {b}^{2} }[/tex]
⤏ [tex] \tt{ {a}^{2} = {15}^{2} - {9}^{2} }[/tex]
⤏ [tex] \tt{ {a}^{2} = 225 - 81}[/tex]
⤏ [tex] \tt{ {a}^{2} = 144}[/tex]
⤏ [tex] \tt{a = \sqrt{144}} [/tex]
⤏ [tex] \tt{a = \sqrt{ {(12)}^{2} } }[/tex]
⤏ [tex] \tt{a = 12}[/tex]
[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \tt{12 \: \text{units}}}}}}} [/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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last one pls help for brainlist
Answer:
1/10
Step-by-step explanation:
first you find the common denominator.
multiply 1/2 by 5 and 2/5 by 2
now you have 5/10-4/10
now its easy and the answer is 1/10
Step-by-step explanation:
answer is 5/10-4/10= 1/10 sorry if im wrong
Eva's new bunny weighted 1 7/8 pounds when she first got him 4 weeks ago. Now he weighs 2 1/4 pounds. How much weight has Eva's dog actually gained
Answer: Eva's dog actually gained 3/8 pounds ( 0.375pounds)
Step-by-step explanation:
Step 1
Given that
old weight = 1 7/8 pounds
New weight = 2 1/4 pounds
weight gained = New weight - Old weight
Step 2
weight gained = New weight - Old weight
2 1/4 pounds - 1 7/8 pounds
2.25 pounds - 1.875 pounds
0.375pounds = 3/8 pounds
Explain why you cannot solve the following system by simply by adding. Tell what you can do to
the first equation so you can solve by adding
x- 5y =7
3x + 4y =11
4x-3-3x=12+2x Find x
Answer: X= -15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
what is the percent of 15 books to 21 books
Xavier gives eight packs of gum to his four friends. If the friends share the gum equally, how many packs of gum does each friend get? Write the answer as a mixed number
Answer:
2
Step-by-step explanation:
answers for the 2 boxes please :)
Answer:
(8, - 5 )
Step-by-step explanation:
Given the 2 equations
3x + 4y = 4 → (1)
- x - 3y = 7 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the x- term.
- 3x - 9y = 21 → (3)
Add (1) and (3) term by term to eliminate x, that is
0 - 5y = 25
- 5y = 25 ( divide both sides by - 5 )
y = - 5
Substitute y = - 5 into either of the 2 equations and solve for x
Substituting into (1)
3x + 4(- 5) = 4
3x - 20 = 4 ( add 20 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
solution is (8, - 5 )
sorry mine was a mistake
A triangle has sides with lengths of 4 inches, 14 inches, and 17 inches. Is it a right triangle?
The ratio of the number of text messages sent by Robert to the number of text messages sent by his sister, Jenny, is 3 to 5. Together they sent a total of 48 text messages.
Answer:
Step-by-step explanation:
I really need Help. I'll give you 100 points and 2 dollar cashapp.
Answer:
I only know c I'm sorry with 16 and 26
the answe is 16÷26 = 0.61 sorry if I'm wrong.!
Mr. Stanley, a furniture store owner, purchases a computer desk from a local artisan for $360. What price should Mr.Stanley mark the computer deskso that it may be offered at a discount of 25% but still give him a 40% profit on his $360 investment?
Answer:
216
Step-by-step
40% of 360 is 144
then 360 - 144 = 216
did this help
dude i need help plsss 4x7-6x6+3
Answer:
4x7= 28 6x6=36 28-36=-8 -8+3=5
Step-by-step explanation:
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Answer:
[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]
Step-by-step explanation:
equation of line formula:
[tex]y = mx + c[/tex]
m = slope
c = y-intercept
1) find m
slope formula:
[tex]m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]
take 2 coordinates from the given graph and substitute the values into the slope formula
i) (-1,0)
[tex]x _{1} = - 1[/tex]
[tex]y_{1} = 0[/tex]
ii) (3,2)
[tex]x_{2} = 3[/tex]
[tex]y_{2} = 2[/tex]
substitute the values into the slope formula
[tex]m = \frac{2 - 0}{3 - ( - 1)} [/tex]
[tex]m = \frac{2}{4} [/tex]
[tex]m = \frac{1}{2} [/tex]
2) find the half equation of the line by substituting the value of m into the equation of line formula
[tex]y = \frac{1}{2} x + c[/tex]
3) find c by substituting either coordinate into the half equation
(3,2)
x = 3
y = 2
[tex]2 = \frac{1}{2} (3) + c[/tex]
[tex]2 = \frac{3}{2} + c[/tex]
[tex]2 - \frac{3}{2} = c[/tex]
[tex] \frac{1}{2} = c [/tex]
[tex]c = \frac{1}{2} [/tex]
4) find equation of line by substituting the value of c into the half equation
[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]
Find the area of the trapezoid. Answer without units.
*
5 cm
4 cm
9 cm
Your answer
Answer:
180
Step-by-step explanation:
Since the type of trapezoid is not listed, I cannot really explain, sorry :/
Help me i have a hw is due after 10 min
Answer:
Price in dollars = $3 * number of comics
Step-by-step explanation:
Yes , they do show a relationship
Looking at the table, we can observe that if we multiply the number of comics by 3 , we get the price in dollars
What this is saying is that the cost of 1 comic is $3
The equation is thus;
Price = $3 * number of comics
Write the equation with the following characteristics Slope:m=-2 y-intercept: b=5
Answer:
1) Slope, m = 2, y-intercept, b = 5 ↔ y = 2·x + 5. 2) Slope, m = 3, y-intercept, b = 5 ↔ y = 3·x + 5. 3) Slope, m = 5, y-intercept, b = 4 ↔ y = 5·x + 4. Step-by-step explanation: The equation of a straight line in slope and intercept form is given as follows; y = m·x + b. Where; m = The slope. b = The y-intercept. 1) When m = 2 and b ...
Step-by-step explanation:
A shoe is having a sale where everything is 35% off. you buy a pair of shoes that has a regular price of $85 what is the sale price of the shoes
Answer:
$55.25
Step-by-step explanation:
35% × 85 = 29.75
85 - 29.75
= 55.25
Graph the line that passes through the points (2,8) and (-2,-8) and determine
the equation of the line.
Answer:
y=4x
Step-by-step explanation:
slope`:-8-8/-2-2
-16/-4=4
y=4x+c
8=4(2)+c
8=8+C
8-8=c
0=c
Answer:
This might help you.
Step-by-step explanation:
PLS HELP I WILL GIVE BRAINLIEST
Determine if the following is a linear or non linear function
Answer:
it isnt linear
Step-by-step explanation:
What is the y-intercept of the line that passes through the points(2, -1) and (-3,9)
Answer:
Step-by-step explanation:
Look at the picture!! HELP ASAP
Philip owns x cd’s .
He owns 3 more videos than CDs.
Write an expression in terms of x for the number of videos Philip owns.
Answer:
Hi how are you doing today Jasmine
Simplify -5-x+4x-4
...............
Final Answer: [tex]3x - 9[/tex]
Steps/Reasons/Explanation:
Question: Simplify [tex]-5 - x + 4x - 4[/tex].
Step 1: Collect like terms.
[tex](-5 - 4) + (-x + 4x)[/tex]
Step 2: Simplify.
[tex]-9 + 3x[/tex]
Step 3: Regroup terms.
[tex]3x - 9[/tex]
~I hope I helped you :)~
Answer: 3x-9
Step-by-step explanation:
Subtract the numbers
-5 - x + 4x -4x
-9 - x + 4x
Combine like terms
_______________
-9-x+4x
-9+3x
Rearrange terms
-----------------------
-9+3x
3x-9
can someone please help out with this? "The Spanish Club begins the school year with a $50 balance in its account. To raise money for activities during the school year, the club has bake sales every Friday after school. The table shows the club’s balance after the bake sale. Write an equation to represent the Spanish Club’s account balance after x weeks." is the question
If FE is a midsegment of ABCD, find DF.
A. 2
B. 3
C. 5
D. 6
Answer:
C
Step-by-step explanation:
Remark
A midsegment is 1/2 the size of the side that it is parallel to.
Equation
6x - 6 = 2*(x + 3) Remove the brackets
6x - 6 = 2x + 6 Subtract 2x from both sides
6x - 2x - 6 = 6 Combine
4x - 6 = 6 Add 6 to both sides
4x = 6 + 6 Combine
4x = 12 Divide by 4
x = 12 / 4
x = 3
==================
Find DF
But that's not the answer.
DF = x + 2
DF = 3 + 2
DF = 5
Which describes all decimals that are rational numbers?
Answer
The decimal terminates or repeats
Step-by-step explanation:
Answer:
"The decimal terminates or repeats"
Step-by-step explanation:
I have done this test
• 12 students want a beef meal. • 8 students want a chicken meal. • 5 students want a pasta meal. Based on the survey results, which of these is the best prediction of the meals wanted by the 200 students?
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let me help out.
Number of students that want a beef meal = 12
Number of students that want a chicken meal = 8
Number of students that want a pasta meal = 5
Total number of students = 12 + 8 + 5 = 25
The prediction of the meals wanted by the 200 students will be:
Beef meal = 12/25 × 200 = 96
Chicken meal = 8/25 × 200 = 64
Pasta meal = 5/25 × 200 = 40
A Verizon salesman sold $5,750 in sales last week. He made $230 in commission. What percent commission did he make?
The answer is: 4%
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 5750 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 5750, so we can write it down as 100%=5750.
4. We know, that x% equals 230 of the output value, so we can write it down as x%=230.
5. Now we have two simple equations:
1) 100%=5750
2) x%=230
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=5750/230
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 230 is what percent of 5750
100%/x%=5750/230
(100/x)*x=(5750/230)*x - we multiply both sides of the equation by x
100=25*x - we divide both sides of the equation by (25) to get x
100/25=x
4=x
x=4
now we have:
230 is 4% of 5750
What is the rate of change for the table?
1/-2 i think i would need to see the graph to be sure
What is the decimal multiplier to decrease by 0.4%?
Answer:2,490
Step-by-step explanation:
(2,500)-(0.4%*2,500)=
1-0.4%)x2,500
100%-0.4)x2,500
99.6%x2,500
99.6/100x2,500
99.6x2,500/100
249,000/100