A 12 foot board rests against the wall. The angle that the board makes with the ground is 60 degrees. How far is the base of the board from the wall?
Answer:
6 foot
Step-by-step explanation:
Since the board is 12foot and the angle makes 60 degrees to the wall, we can assume that it is the 30,60,90 degreees. 30,60,90 degrees triangle makes the side of x, 2x ,and xroot3.
Hence, the board(12foot) is equal to 2x.
x=6
Write a quadratic equation having the given numbers as solutions.
-5 and - 3
Answer:
x² + 8x + 15
General Formulas and Concepts:
Algebra I
Quadratic Roots - Linear BinomialsExpand by FOIL-ing (First, Outside, Inside, Last)Standard Form: ax² + bx + c = 0Step-by-step explanation:
Step 1: Define
x = -5, -3
Step 2: Write equation
Rewrite solutions: (x + 5)(x + 3)Expand [FOIL]: x² + 3x + 5x + 15Combine like terms: x² + 8x + 15Find the area.
6 cm
3 cm
3 cm
square centimeters
Answer:
27 cm²
Step-by-step explanation:
its in the picture idk how to explain
Answer:
A = 13.5 cm²Step-by-step explanation:
use the area of trapezoid:
A = h/2 (b₁ + b₂)
where h = 3 cm
b₁ = 6 cm
b2 = 3 cm
plugin values into the formula:
A = 3/2 (6 + 3)
A = 13.5 cm²
Fill in the blank to complete the equation that describes the diagram.
Answer:-4 + -6 = -10
Step-by-step explanation:
If a spider can move 1/2 of a mile every hour, then how many hours would it take for a
spider to go 4 miles?
Answer:
2
Step-by-step explanation:
1/2x4=2
What are the coordinates of point A?
Need help will mark Brainliest no explanation needed
4x-(12 divided 3) +2x=20
Answer:
4
Step-by-step explanation:
Which solution value satisfies the inequality x – 6 ≥ –7?
Question 18 options:
A)
x = –5
B)
x = 0
C)
x = –2
D)
x = –7
Answer:
B) x = 0
Step-by-step explanation:
To find the solution value that satisfies the inequality x – 6 ≥ –7, you must plug every x value into the x and see which one works.
Plug -5 into x
-5 – 6 ≥ –7
Combine like terms
-11 ≥ –7
This is false, -11 is not greater than or equal to -7.
Plug 0 into x
0 – 6 ≥ –7
Combine like terms
– 6 ≥ –7
This is true, -6 is greater than -7.
Plug -2 into x.
-2 – 6 ≥ –7
Combine like terms
-8 ≥ –7
This is false, -8 is not greater than or equal to -7.
Plug -7 into x.
-7 – 6 ≥ –7
Combine like terms
-13 ≥ –7
This is false, -13 is not greater than or equal to -7.
B) x = 0 is the only solution that is true and works, so that is your answer.
Have a lovely rest of your day! :)
Someone help please !!!
Answer:
The answer is M = (C-5)/4
Please answer this correctly without making mistakes
Answer: The purple coupon is the best deal.
Explanation: If an apple pie is $12, with the orange coupon, you will only pay $7. On the other hand, with the purple coupon, you will only pay $6.60. So the purple coupon is the best deal.
2. A rocket is launched from rest, at ground level. The graph of the rocket's velocity with respect to
time looks as follows: y= 0.15x2
How fast is the rocket traveling after 15 seconds?
Insert the graph picture here:
Graph please
Answer:
y = 33.75 m/s.
Step-by-step explanation:
The graph of the rocket's velocity with respect to time looks as follows :
[tex]y=0.15x^2[/tex] ...(1)
Where x is time in seconds
We need to find the velocity of rocket after 15 seconds. Put x = 15 in equation (1).
[tex]y=0.15\times (15)^2\\\\=33.75\ m/s[/tex]
Hence, the speed of the rocket after 15 seconds is 33.75 m/s.
Expand and combine like terms.
(4 + 7a²)2 =
Answer:
Step-by-step explanation:
2(4+7a^2)
=8+14a^2
=7a^2+4
OR if that 2 is an exponent
(4+7a^2)^2
=(4+7a^2)(4+7a^2)
=16+49a^4+28a^2+28a^2
=49a^4+56a^2+16
Vicky jogged 4 1/2 miles in 7/8 hour. What was her average rate of speed in miles per hour?
Answer:
Step-by-step explanation:
Vicky jogged 4 1/2 miles or 9/2 miles or 4.5 miles
7/8 of 60 min=(7*60)/8=(7*15)/2= 52.50 min
4.5 miles....................52.50 min
? miles.......................60 min
vicky will have a rate of 5.14 miles/hour
pls help no idea how to do this
lim x→0 √(x²+4)-2/x²
The limit of the given function is 1/2
Limit of a functionGiven the following limit of a function
lim x→0 √(x²+4)-2/x²
Substitute the limit to have:
√(0²+4)-2/0²
√4 - 2/0
2-2/0
0/0 (ind)
Apply the L'hospital rule to have;
lim x→0 d/dx√(x²+4)-2/(d/dx)x²
lim x→0 (x²+4)^-1/2 * 2x/2x
lim x→0 (x²+4x)^-1/2
Substitute
(4)^-1/2
1/2
Hence the limit of the given function is 1/2
Learn more on limit of a function here; https://brainly.com/question/23935467
#SPJ1
Please answer this correctly without making mistakes
Dale should use the $15 dollars off coupon to save the most money which costs 47.00.
25% off of 47.00 is 45.49.
$15 off of 47.00 is 32.00.
The $15 off coupon makes the DVD player cost less, so he should use that one.
What is the average rate of change?
Answer:
5
Step-by-step explanation:
PLEASE HELP I REALLY NEED IT RN
Answer:
Claim: Basically Carlos is saying that every number and its opposite are on the positive and negative side of the number.
Which number supports tht claim and which number refutes(disagree) with that claim?
Step-by-step explanation:
The opposite of -24 is 24, located on the positive side of the number line
The opposite of 605 is -605, located on the nagative side of the number line.
The opposite of 0 is 0.
Reduced form of 2ab^2-a^2 b^2/5
Answer:
[tex]2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}[/tex]
Step-by-step explanation:
Given the expression
[tex]2ab^2-\frac{a^2b^2}{5}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:2ab^2=\frac{2ab^25}{5}[/tex]
[tex]2ab^2-\frac{a^2b^2}{5}=\frac{2ab^2\cdot \:5}{5}-\frac{a^2b^2}{5}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{2ab^2\cdot \:5-a^2b^2}{5}[/tex]
[tex]=\frac{10ab^2-a^2b^2}{5}[/tex]
Thus,
[tex]2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}[/tex]
Leo is adding gravel to the edge of the driveway. He orders 6 bags of gravel for $252. How much would it cost if leo orders 8 bags of gravel?
Answer:
no
Step-by-step explanation:
Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $25 worth of gasoline. Her friend melody pay for one-half the cost of the car rental only.Choose an expression you could use to determine how much Sophie spent.
Answer:
25-1/2=
Step-by-step explanation:
can you please solve 4+3x>24
and thank you :))
Answer:
x>8
Step-by-step explanation:
4+3x>24
-4 -4
3x > 24
/3 /3
x > 8
Write the standard form of the equation of the circle with center (−7,1) that passes through the point (−7,9).
Answer:
(x + 7)² + (y - 1)² = 64
Step-by-step explanation:
Use the equation of a circle, (x - h)² + (y - k)² = r²
Plug in the point and center, then solve for r:
(x - h)² + (y - k)² = r²
(-7 + 7)² + (9 - 1)² = r²
0 + 64 = r²
64 = r²
8 = r
Then, plug in the center and r² into the equation:
(x + 7)² + (y - 1)² = 64
So, (x + 7)² + (y - 1)² = 64 is the standard form of the circle's equation
Find the equation of a line parallel to y = 12 that contains the point (3, 2).
Answer:
y = 2
Step-by-step explanation:
Let's first write the equation of y = 12 in slope-intercept form. Slope-intercept form is represented as:
y = mx + b
Where...
m: slope
b: y-intercept (the y-value at where the line intercepts the y-axis)
(x, y): any coordinate on the line
This line has a slope of 0 and a y-intercept of 12, therefore its equation is:
y = 0x + 12.
Parallel lines have the same slope. Therefore the equation of the parallel line can be represented as:
y = 0x + b
We need to find b, or the y-intercept.
Let's substitute the point given to us into the equation.
Solve for the y-intercepty = 0x + b
2 = 0(3) + b
2 = 0 + b
b = 2
Therefore the equation of a line parallel to y = 12 that contains the point (3, 2) is y = 2.
What is 478.9 divided by 2? D:
Answer: 239.45
Your welcome if this was for an assignment.
why is school so hard:/
Answer:
I KNOW RIGHT!!
Step-by-step explanation:
Answer:
in entering school in first you are excited but in every day entering school you feel boring this is why school is hard
Step-by-step explanation:
pick me as the brainliest
A recipe for pizza dough calls for 1 1/2 cups of water and 6 cups of flour. How much water is used per cup of flour?
Answer:
1/4 cups
Step-by-step explanation:
Answer: 0.25
Step-by-step explanation:
Find the value of n.
Answer:
127
Step-by-step explanation:
Judy bought 12 roses for
$36. Jackie bought 20 roses
for $80. Which is the better
buy?
Answer:
judy had the better buy
Step-by-step explanation:
Answer:
I would buy the ones Judy has
Step-by-step explanation: