Answer:
A. 22°
E. 15
I. 39°
F. 71°
C. 25.6
H.12.9
K.55°
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Find the remainder when p6–p4–p2–1is divided by p -1
pls fast
Write the expression for this problem:
The pizza place sold 1 pizza for 8$ and it costs 0,25$ per garnish.
Answer:
8 + 0.25g
Step-by-step explanation:
(g is the variable for garnish)
L=10 in W=5in H=8in find the volume?
Answer:
V = 400in.
Step-by-step explanation:
We are given the measurements of what can be assumed to be a rectangular prism, and we need to find the volume.
When finding volume of a rectangular prism, we need to multiply length by width by height.
So we know all of these,
L = 10in
W = 5in
H = 8in
V = LWH
Substitute :
V = (10)(5)(8)
Mutiply :
V = (50)(8)
Multiply :
V = 400in.
Answer:
the formula to find volume is length times width times height.
Step-by-step explanation:
10 times 5 = 50 then multiply 50 by 8 which equals 400. brainliest :0
what is the value of v in the equation -25=-(4v+7)+10
Answer:
-25 = -(4v+7)+10
-25 = -4v-7+10
-25 = -4v+3
4v = 3+25
4v = 28
v = 28 ÷ 4
v = 7
Answer:
Therefore the value of v in the equation is 7
You deposit $800 in the bank and you earn 12% compounded weekly.
What is the solution to the equation 4/5x=3/10(x+4)?
Oz= -8
O x = 12
O infinitely many solutions
O no solution
Answer:
[tex]\frac{12}{5}[/tex]
Step-by-step explanation:
4/5x=3/10(x+4) / · 10
8x=3(x+4)
8x=3x+12
8x-3x=12
5x=12 /:5
x=12/5
Guys please help I’m having so much trouble
Answer:
Hello! Your answer would be B)B
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia
Annabelle's password is a 3-digit code that uses the numbers 0, 1, and 2. How many possible outcomes are there for Annabelle's password if the digits can repeat itself.
Group of answer choices
21
27
9
3
Answer:
9
Step-by-step explanation:
0,1,2
0,2,1
1,2,0
1,0,2
2,0,1
2,1,0
2,2,2
1,1,1
0,0,0
Dallas was told to run around the perimeter of the high
school as a warm-up for football practice. What
distance will Dallas run from point A to point B?
30 yards
48 yards
50 yards
98 yards
Answer:
B 48 yards
Step-by-step explanation:
what is the sum of 3,9
Answer:
3 + 9 = 12 !
Step-by-step explanation:
how do you solve this?? please answer quick!!
Answer:
X is 10 Y is 6
Step-by-step explanation:
Find the measure of angle DAB in the given figure.
a)46
b)25
c) none
Write an equation to describe the proportional relationship in this table. Explain your thinking and how you got your answer.
PLEASE HELP!! I DONT KNOW WHAT TO DO
Focus on the values in red outside the table (on the left and right sides). As the output increases by 4, the input increases by 1. This leads to the slope being rise/run = 4/1 = 4. The slope is the number just to the left of the x variable. So that's how they ended up with the equation y = 4x.
You can think of it as y = 4x+0, and note how it's in the form y = mx+b
m = 4 = slope
b = 0 = y intercept
The y intercept is the value of y when x = 0.
--------
Now because x = 0 and y = 0 pair up together, we can find the slope a different way: Pick any row other than the first row. Divide the y value over its paired x value. So let's say we pick on row two and we'd get a slope of y/x = 4/1 = 4.
Or we could pick on row three and get y/x = 8/2 = 4.
Picking on the fourth row gets us the slope to be y/x = 12/3 = 4. We end up with the same slope value each time. Again, this trick only works if (x,y) = (0,0) is on the line. Otherwise, you'll need to use the first method or use the slope formula.
For equations like this, we consider them a direct proportion. As x increases, so does y. As x increases by 1, y increases by 4. This is the same throughout the table.
----------
A real world example of this could be that x represents the number of sodas you buy, and if each soda is $4, then y = 4x represents the total cost of buying x number of sodas.
For instance, if you bought x = 10 sodas, then y = 4*x = 4*10 = 40 dollars is what you spend overall.
A rectangle 9 cm long is equal in area to a square which has a perimeter of 24 cm,find the width of the rectangle.
I want the explanation
Answer:
3cm
Step-by-step explanation:
The length of a rectangle Is 9cm
The perimeter Is 24
Let the width be x
Therefore the width can be calculated as follows
Perimeter= 2(length+width)
24= 2(9+x)
24= 18+2x
24-18= 2x
6= 2x
x= 6/2
x= 3cm
Hence tbe width is 3cm
Maria sets a goal of jogging 17.4 miles this week.She plans on running 2.75 miles each day for 7 dadys.If she follows her plan,witch is true?
Step-by-step explanation:
Given
Maria goal's is to Jog 17.4 miles
She runs 2.75 miles each day for 7 days
Total distance covered by her in 7 days
[tex]\Rightarrow 2.75\times 7=19.25\ \text{miles}[/tex]
So, she covers more than what she had planned.
Therefore, she is successful in her plan.
Jo and Paul are arguing about percentages.
Jo says 52% = 0.052
20
Paul says 52% <
Who is correct?
Answer: Paul
Step-by-step explanation: Paul is correct because Joe isn’t.
0.052= 5.2% not 52%
Jo is correct in saying that that number is less than 52%.
Find the volume of the triangular prism below 5mm 12mm 3mm
Answer: 90 mm cubed
Step-by-step explanation:
Formula = (L*W*H) / 2
5 * 12 * 3 = 60 * 3 = 180
180 / 2 = 90
Henry visits the library once every 6 days while James visits it once every 4 days. Both meet each other at the library for the second time on Thursday. On which day of the week did they meet each other for the first time?
Answer:
They met on Sunday for the first time.
Step-by-step explanation:
This can be found out by taking the LCM
The factors of 6 = 1*2*3
The factors of 4= 1*2*2
LCM = 2*2*3= 12
They both will meet on the 12 day for the second time.
If Thursday is the 12th day then counting backwards , they met on Sunday for the first time.
Refer to the given figure. If QR=3x+4, KL=15, JL=2x+10, find the measure of JL. A. 2 B. 6 C. 18 D. 22
Answer:
Option C
Step-by-step explanation:
From the given figure, it is clear that the two triangles are similar to each other with QR = KL
As we know
QR = 3x+4 and KL = 15, we can derive the value of X
3X+4 = 15
X = 11/3
Jl = 2X + 10 = 2*11/3 +10 = 22 +30/3 = 52/3 = 18
hence, option C is correct
area of triangle with 5 cm radius
Find the area of the circle.
25 yd
Can someone help me with these 3 Spanish questions? ty
Answer:
1. A
2. C
3. A
Hope this helped!
Need help solving these questions!!! PLEASE HELP AS SOON AS YOU CAN!! 7.
Use the figure below to identify angle pairs: Picture included
Part I:Name a pair of angles that are complementary and adjacent. (1 point)
Part II: Name a pair of angles that are complementary but not adjacent. (1 point)
Part III: Name a pair of angles that are supplementary and adjacent. (1 point)
Part IV: Name a pair of angles that are supplementary but not adjacent. (1 point)
8. Use the figure below to identify and name points. (second picture)
Part I: Name three points that are collinear. (1 point)
Part II: Name three points that are noncollinear. (1 point)
If CD is the perpendicular bisector of AB , then _____ = EB and m
Answer:
Step-by-step explanation::)
Similar right triangles
Find the value of x.
Which expression shows the amount would you pay if your lunch bill is X and you leave(pay) a 15% tip?
a) x - 0.15x
b) x + 0.15x
c) 1.15x - x
d) 2.15x
Answer:
Step-by-step explanation:
(b) is correct. x represents the bill and 0.15 represents the 15% tip on that bill.
This graph represents the function f(x)=sin(2x)
Answer:
a
Step-by-step explanation:
a is the correct statement because there is a relative minimum at 3pi/4 and y values are negative on the interval [pi/2,pi]
The function is negative on the interval (π/2, π) option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a graph of a sin function shown in the picture.
As we know the sin function can be defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where is the amplitude of the function.
The sin function is:
f(x) = sin(2x)
From the graph, the region between (π/2, π) the function values is negative because the function exists in the IV quadrant.
Thus, the function is negative on the interval (π/2, π) option (A) is correct.
Learn more about trigonometry here:
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How long is Mr. Toad?
A 10 cm SECTION OF A METERIC RULER
HELP PLEASEEEEE!!!!!
hyfhsudeh it heieheueheiheeiheehheehe 70m
A car that is purchased got 24000 is expected to depreciate at a rate of 7% per year. If the function f(x)=ab^x models this situation, which function could be used to find the value of the car after 10 years?
Answer:
FV= 24,000*(1.07^-10)
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $24,000
Decrease rate (d)= 7%
Number of periods (n)= 10 years
To calculate the value of the car after 10 years, we need to use the following formula:
FV= PV*(1+d)^-n
FV= 24,000*(1.07^-10)
FV= $12,200.38
Which expression is equivalent to the image below?
1/4(12-3x)
A. 3 - 3/4x
B. 3 - 12x
C. 3 + 3/4x
D. -3 -3x
The expression is equivalent to the 1/4 (12 -3x) is 3 - 3/4x.
What is Expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.
We have the Expression
1/4 (12 - 3x)
Now, using Distributive Property we get
a x (b+ c) = a x b + a x c
Then, 1/4 (12 - 3x)
= 1/4(12) - 1/4 (3x)
= 3 - 3/4x
Thus, the required expression is 3 - 3/4x.
Learn more about Expression here:
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