Answer:
The square root function
sqrt(144) or √144 produces a single positive value, 12.
However if you have an equation
x² = 144, then you have two possible values for x, 12 and -12.
Two ways to look at it.
x² - 144 = 0
Difference of two squares
(x+12)(x-12) = 0
x = -12, 12
x² = 144
x = ±√144
x = ±12
x = -12, 12
Answer:
12 and -12
Step-by-step explanation:
144 is a perfect square which means that a number multiplies to it with the same number. In this instance both 12 and -12 equal 144.
12 x 12 = 144
-12 x -12 = 144 (two negatives equal a positive)
If the roots of a polynomial are 4 and -2 what could the polynomial be
Answer:
2
Step-by-step explanation:
it may not be right because i guessed
Use the Distributive Property to write an equivalent expression.
7m + 7p
Answer:
7(m+p)
Step-by-step explanation:
According to the table below how many cookies can be made with 1 cup of chocolate chips?
A. 3
B. 2
C. 5
D. 4
Please help me with this question! I would really appreciate it <333
Answer:
C or D definitely not A or B bc it is too close of a number to 24.75 for 15
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You want to find out how much it would be for 15 boxes
(5 , 11.25)
this is the first pair on the table multiply both by 3 because 5 x 3 = 15(boxes)
so we need to find how much it costs so now you multiply 11.25 by 3 which will be 33.75.
I have done this problem in my class and it is a believe me!
Solve for x: log 10^x = 21
Expand log (10^x).
x = 21
Answer:
10x=21
divide both sides by 10
WIll equal x=2.1
please help i need this done by the next hour and i’m failing and struggling
3. The sector of a circle is shown below. It has a radius of 10 centimeters and a central
angle of 51 degrees. Find to the nearest tenth in both cases:
(a) the length of AB in centimeters(b) the area of the sector in square centimeters
1. An arc has a central angle of 1.8 radians and a radius of 20 inches. a. Determine the length of AB in inches
b. to the nearest degree what is the measure of
Answer:
Question 3)
[tex]\stackrel{\frown}{AC}=36\text{ inches}[/tex]
[tex]\angle BCA\approx103^\circ[/tex]
Question 1)
[tex]\stackrel{\frown}{AB}\approx 8.9\text{ cm}\\[/tex]
[tex]A\approx44.5\text{ cm}^2[/tex]
Step-by-step explanation:
Question 3)
We are given that the central angle is 1.8 radians and has a radius of 20 inches.
Part A)
The formula for arc length in terms of radians is given by:
[tex]s=r\theta[/tex]
Where s is the arc length, r is the radius, and θ is the angle in radians.
In this case, r is 20 and θ is 1.8. Hence, the arc length is:
[tex]\stackrel{\frown}{AC}=(20)(1.8)=36\text{ inches}[/tex]
Part B)
∠BCA is the central angle that measures 1.8 radians.
We can convert radians to degrees using the following formula:
[tex]\displaystyle d=\theta\cdot\frac{180^\circ}{\pi}[/tex]
Where d is the measure in degrees, and θ is the measure in radians.
Therefore:
[tex]\displaystyle d=1.8\cdot\frac{180^\circ}{\pi}\approx103.1324\approx103^\circ[/tex]
Question 1)*
Part A)
We will use the arc length formula in degrees given by:
[tex]\displaystyle s=2\pi r\cdot \frac{\theta^\circ}{360}[/tex]
Where r is the radius and θ is the angle measured in degrees.
We have a radius of 10 centimeters and a central angle of 51°. Therefore, our arc length is:
[tex]\displaystyle \stackrel{\frown}{AB}=2\pi(10)\cdot\frac{51}{360}=20\pi\cdot\frac{51}{360}\approx8.9\text{ cm}[/tex]
Part B)
We will use the formula for the area of a sector in degrees given by:
[tex]\displaystyle A=\pi r^2\cdot\frac{\theta^\circ}{360}[/tex]
So, we will substitute 10 for r and 51 for θ. Hence, the area of the sector is:
[tex]\displaystyle A=\pi (10)^2\cdot \frac{51}{360}=100\pi\cdot\frac{51}{360}\approx44.5\text{ cm}^2[/tex]
*Notes:
For this question, it is possible and completely fine for us to convert 51° to radians and then use the formulas in terms of radians.
Answer:
(1). 36 inch. , 103° ; (2). 8.9 cm , 44.5 cm² ;
Step-by-step explanation:
1).
(b). m∠BCA = 1.8 rad. × [tex]\frac{180}{\pi }[/tex] ≈ 103° ( π ≈ [tex]\frac{22}{7}[/tex] )
(a). C = 2 π r , the length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 20 ) ÷ 360° × 103.132° ≈ 36 inches
3).
(a). The length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 10 ) ÷ 360° × 51° ≈ 8.9 cm
(b). A = π r² , the area of the sector = ( [tex]\frac{22}{7}[/tex] × 10² ) ÷ 360° × 51° ≈ 44.5 cm²
if rectangle one side is 8 times longer than the other then how long is all of the rectangle sides if rectangle perimeter is 270cm.
shorter side is -
longer side is -
An angle measures 130.4° more than the measure of its supplementary angle. What is the measure of each angle?
Answer: 24.8 and 155.2
Step-by-step explanation:
x+x+130.4=180
2x=49.6
x=24.8
Answer:
155.2
Step-by-step explanation:
let x be the supplimentary angle
then the angle is
130.4+x
we have
130.4+x+x=180
2x=49.6
multiply both sides with 2
x=24.8
then the angle is
130.4+24.8
155.2
GEOMETRY Please find the X! plspls
Answer:
What she said
Step-by-step explanation:
Simplify each expression.
2y+ (4 + 5y). 2d(3). Simplify those two please please answer i will give brainliest!
Answer:
7y + 4
Step-by-step explanation:
2y + 5y+4
add 2y and 5y
7y+ 4
Answer:
7y +4
Step-by-step explanation:
Open up the brackets ans collect your like terms and simplify the expression.
Name the plane represented by the front of the box.
BJC, DBF, GBF, or CAB
Answer:cab
Step-by-step explanation:
Answer: c. GBF
Step-by-step explanation:
What is the value of the expression when a = -5 and c = -1?
Answer:
(8-5) + (16-1)=18
Bula went to Target and bought a new jacket. The price tag said $85 but the sign on the rack said
20% off the price tag. How much did Bula pay for the jacket?
$17
$65
$70
$68
Answer:
she paid 68 so it is d i think
Interpreting Expressions
Breanna thought of a number, added 5 to it, and then multiplied her answer by 3. She got a final number of 21. What was her starting number?
Answer:
r u going to be a little late to the party but I
standard form for y=mx+b
Answer:
that's standard form for slope
Step-by-step explanation:
have a nice day :)
Which expression is equivalent to (+12)×5+7 ?
A. 12+60
B. 12+12
C. 5+67
D. 5+12
Been stuck on this for hours, it's the Law of Sines. 25 POINTS!!
Answer:
Step-by-step explanation:
(Sin27) / 11 = (sin x) / 15
cross multiply
15 sin27 = 11 sin x
keep in calculator as you divide 15sin27 by 11.
sin x = .6190779542
do sin ^ -1 (.6190779542) (It’s a key on the calculator.)
x = 38.25*
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
According to the equation you are give, ...
sin(x)/15 = sin(27°)/11
Multiplying by 15 gives you ...
sin(x) = 15·sin(27°)/11 ≈ 0.619078
The inverse sine function is used to find the angle x. It may show as sin⁻¹ on your calculator.
x = arcsin(0.619078)
x ≈ 38.2°
_____
Additional comment
x is shown in the figure as an acute angle, so that is the value we have chosen. The other angle that has sin(x) = 0.619078 is the supplement of this, or 141.8°. The two solutions are shown in the 2nd and 3rd attachments.
-4<3x+5<=11
Solve the inequalities
Answer:
-3<x</2
Step-by-step explanation: the slash is the line.
i need heelllppppp plzzzz someone helllppp meee
Answer:
The equation of the line is y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ A line passes through points (2, -1) and (-3, 3)
∴ x1 = 2 ad y1 = -1
∴ x2 = -3 and y2 = 3
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{3--1}{-3-2}[/tex] = [tex]\frac{3+1}{-5}[/tex] = [tex]\frac{4}{-5}[/tex]
∴ m = [tex]-\frac{4}{5}[/tex]
→ Substitute the value of m in the form of the equation above
∴ y = [tex]-\frac{4}{5}[/tex] x + b
→ To find b substitute x and y in the equation by the coordinates of one
point of the given points
∵ x = 2 and y = -1
∴ -1 = [tex]-\frac{4}{5}[/tex] (2) + b
∴ -1 = [tex]-\frac{8}{5}[/tex] + b
→ Add [tex]\frac{8}{5}[/tex] t both sides
∵ -1 + [tex]\frac{8}{5}[/tex] = b
∴ [tex]\frac{3}{5}[/tex] = b
→ Substitute the value of b in the equation
∴ y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
∴ The equation of the line is y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
mason opens a savings account by making a $165.85 deposit. Every week , he deposits another $20.50 in the account how much money will be in the account after 10 weeks
Answer
1,863.5
Step-by-step explanation: add 165.85 +20.50 =186.35 the do 186.35 x 10 =1,863.5
can someone solve a - 3 over 7 s = -8
and a + 24 = -15
STEP BY STEP PLEASE.
Answer:
a=-39; s=0.75
Step-by-step explanation:
Solve the System of Equations by Substitution.
First, solve one of the equations for a variable. I'll do the 2nd one because it only has one variable.
a+24=-15 -------> a=-39
Now we know what a is just plug it back into the other equation and get s.
[tex]\frac{a-3}{7s} =-8[/tex]
[tex]\frac{-39-3}{7s} =-8[/tex]
[tex]\frac{-42}{7s} =-8[/tex]
Switch the -8 and 7s
[tex]\frac{-42}{-8} =7s[/tex]
Simplify the fraction
5.25=7s
Divide by 7 to isolate the s
0.75=s
Answer:
2)a+24=-15
a=-15-24
a=-39
Step-by-step explanation:
Please answer this quickly
Natalia bought 888 glitter wands for \$50$50dollar sign, 50.
Determine whether or not each wand purchase below has the same price per wand as glitter wands.
Has the same price per wand as glitter wands
Does not have same price per wand as glitter wands
444 sparkle wands for \$20$20dollar sign, 20
666 fairy wands for \$37.50$37.50dollar sign, 37, point, 50
101010 glow wands for \$65$65dollar sign, 65
9514 1404 393
Answer:
6 for $37.50 has the same price
Step-by-step explanation:
The price per wand is found by dividing the price by the number of wands.
8 for $50 ⇒ $50/8 = $6.25 per wand
__
4 for $20 ⇒ $20/4 = $5.00 per wand not the same
6 for $37.50 ⇒ $37.50/6 = $6.25 per wand is the same price
10 for $65 ⇒ $65/10 = $6.50 per wand not the same
Stuck on my Trigonometry homework :(
Step-by-step explanation:
sin 23°/6cm = sin A/13cm
(sin 23°/6cm)×13cm= sin A
A= 60.35
I wish this will answer u, n im sorry if im wrong
Answer:
I think A= 60.35
Step-by-step explanation:
Hope this helped have an amazing day!
On her way to visit her relatives, Jessica drives 180 miles in 4 hours. What is her average rate of speed in miles per hour?
ASAP!!!
Answer:
It is 50 mph
Step-by-step explanation:
What is a rate? I will mark Brainiest
Answer:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
HELP ASAP PLEASE!!!!
Triangle ABC is similar to triangle PQR, as shown below: Which equation is correct? (1 point)
what is the slope..
Answer:
the slope is 2
Step-by-step explanation:
the x's are increasing by 4 each time and the y's are increasing by 2 each time giving you [tex]\frac{4}{2\\}[/tex] which simplifys to 2
Leisa is Harold's older sister. Leisa says 2 + 5 (4) = 28 and Harold
says
2 + 5
(4) = 22 Who is WRONG? Explain what was done wrong.
Elijah has $500 in a savings account at the beginning of summer he wants to have at least 200 at the end of summer he withdraws 25 per week how many weeks can you order withdraw money from his account
Answer:
12 weeks
Step-by-step explanation:
Make an inequality equation with x being the number of weeks:
200 > 500 - 25x
*subtract 500 from both sides*
-300 > -25x
*divide both sides by -25*
12 > x