Answer:
(3+p)
Step-by-step explanation:
solution
first expression=9-P^2
=3^2 - P^2
=(3+P) (3-p)
second expression=p^2 + 3p
= p(3+p)
Therefore lCM= (3+p)
Find the surface area of the triangular prism. The base of the
prism is an isosceles triangle.
48 cm
37 cm
35 cm
24 cm
Answer:
I think the surface it is 24 cm
can someone please help me with this retake question?? i don't know what i did wrong and i really need help
x = ___ units
x = 24
Step-by-step explanation:
First, find the length RT. Note that we can use the definition of sine 60:
sin 60° = (12√3)/RT
Solving for RT,
RT = (12√3)/sin60° , sin 60 = (√3)/2
= 24
Since ∆QRT is a 45°-90°-45° triangle, that means that
x = RT = 24
16. Ajit borrowed 2,00.000 from a credit card company at 20% p.a. compounded quarterly.
Find the compound interest and the amount after one year.
Given:
Principal value = 2,00,000
Rate of interest = 20% p.a. compounded quarterly.
To find:
The compound interest and the amount after one year.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.
The interest is compounded quarterly. So, the value of n is 4.
Putting [tex]P=200000,\ r=0.2,\ n=4,\ t=1[/tex] in the above formula.
[tex]A=200000\left(1+\dfrac{0.2}{4}\right)^{4(1)}[/tex]
[tex]A=200000\left(1+0.05\right)^{4}[/tex]
[tex]A=200000\left(1.05\right)^{4}[/tex]
[tex]A=200000(1.21550625)[/tex]
[tex]A=243101.25[/tex]
Therefore, the amount after one year is 2,43,101.25.
We know that the compound interest is the difference between amount and principal value. So,
[tex]C.I.=A-P[/tex]
[tex]C.I.=2,43,101.25-2,00,000[/tex]
[tex]C.I.=43,101.25[/tex]
Therefore, the amount is 2,43,101.25 and the compound interest is 43,101.25.
Angles A and B are complementary. What is mB if mA = 15°? A. 75° B. 90° C. 105° D. 165°
Answer:
90
Step-by-step explanation:
Answer:
its 75 or A.
Step-by-step explanation:
Fill in the blanks.
3 + (2 + 5) + (3 + 2) +_
3 + _ = 9 + 3
Answer:
3 + (2 + 5) =(3 + 2) +5_
3 + 9_ = 9 + 3
According to a weather report, there is a 63% chance it will rain fomorrow. What is the probability that it will
not rain tomorrow
The probability that it will not rain tomorrow is
(Type a decimal answer.)
Answer:
0,37
Step-by-step explanation:
Gabe purchased a razor for $9.99, a refill pack of razor blades forthe
regular price of $12.99, shaving cream for $2.99, and lotion for$5.55. He
had a $4.00 coupon for the razor, a $0.75 coupon for the shaving cream,
and a $2.00 manufacturer's rebate form for the refill. Determine the final
price.
A. $ 27.47
B. $ 27.44
C. $ 24,47
D. $ 24.77
Answer:
24.77
Step-by-step explanation:
The final without coupons is 31.52, but because you use 4.75 in coupons and 2.00 in manufacturer's rebate, it drops down to 24.77.
Hope this helps!
The ratio of two sums of money is 5:7 if the smaller amount is $250, what is the largest amount?
Answer:
$350
Step-by-step explanation:
[tex]\frac{250}{y} :\frac{5}{7}[/tex]
y · 5 = 250 · 7
5y = 1750
5y ÷ 5 = 1750 ÷ 5
y = 350
Answer:
$350
Step-by-step explanation:
5 is to 250 as 7 is to 'x'
5/250 = 7/x
cross-multiply:
5x = 1750
x = 350
What is the vertex of f(x)=x2−12x+25 ?
Answer:
(6,-11)
Step-by-step explanation:
The cost to hire movers is $200 plus $50 each for each hour they work. If the cost were to be modeled with a linear equation, what would be the equation?
Answer:
C= 200 + 50h
Step-by-step explanation:
Let us represent
Cost to hire movers = C
Number of hour = h
We are told in the question that:
The cost to hire movers is $200 plus $50 each for each hour they work.
Hence ,our linear equation =
C = $200 + $50 × h
C = 200 + 50h
a sandwich shop sells cheese how can a chef cut a square pyramid shaped piece of cheese to make slices that are sqaures
Answer:Cut parallel to the base. The base of a pyramid is a square.
Step-by-step explanation:
Jello someone help is this correct answer
No links or files
Correct answer please
Answer:
c is the right answer
Step-by-step explanation:
Someone help me please
Consider a triangle ABC like the one below. Suppose that a = 47, b = 59, and A = 37" (The figure is not drawn to scale.) Solve the triangle,
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or",
Answer:
B = 49.1°
C = 93.9°
c = 77.9
Step-by-step explanation:
Given:
a = 47, b = 59, and A = 37°
Required:
B, C, and c
Solution:
✔️To find B, apply the law of sines:
[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{sin(37)}{47} = \frac{sin(B)}{59} [/tex]
Cross multiply
[tex] 47*sin(B) = sin(37)*59 [/tex]
Divide both sides by 47
[tex] \frac{47*sin(B)}{47} = \frac{sin(37)*59}{47} [/tex]
[tex] sin(B) = 0.7555 [/tex]
[tex] B = sin^{-1}(0.7555) [/tex]
[tex] B = sin^{-1}(0.7555) [/tex]
B = 49.0690779° ≈ 49.1° (nearest tenth)
✔️C = 180° - (A + B) (sum of triangle)
C = 180° - (37° + 49.1°)
C = 93.9°
✔️To find c, apply the law of sines:
[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]
Plug in the values
[tex] \frac{sin(49.1)}{59} = \frac{sin(93.9)}{c} [/tex]
Cross multiply
[tex] c*sin(49.1) = sin(93.9)*59 [/tex]
Divide both sides by sin(49.1)
[tex] c = \frac{sin(93.9)*59}{sin(49.1)} [/tex]
c = 77.8766982
c ≈ 77.9 (nearest tenth)
Which equation has two real solutions?
10. Find the outlier of the set of data: 30, 54, 47, 45, 42, 50, 54, 49 (1 point)
A 47
O 30
049
O 54
Answer:It would be 30!
Step-by-step explanation:
You need to line them all up in order and then see the one that sticks out from all of the others. All the other numbers are in the 40s and 50s and this one is 30.
EASY question: Show steps for brainliest <3
Tai sailed east from the marina for 48 miles and
then sailed south for 14 miles, as shown in the
diagram.
What is the shortest distance Tai can sail to return
to the marina?
A 62 mi
B 82 mi
C 50 mi
D 34 mi
Answer:
C 50 mi
Step-by-step explanation:
You have to use the Pythagorean theorem:
14²+48²
196 + 2304
2500
Now you make the square root of 2500 and found the result: 50 mi
Kelsey decided to bake blackberry pies to sell at the county fair. She had $100 in her savings account. She spent $75 of her savings buying all the ingredients. At the fair, she sold 15 pies and charged $9 per pie. She took the money she earned from the fair and added it to her savings account. How much money is in Kelsey's savings account now?
Answer:
$160
Step-by-step explanation:
$100-$75=$25
$9*15=$135
$25+$135=$160
Hope this helps
JOeseph uses a sports drink mix. The mix is 25% orange juice and 65% cranberry juice and 10% Sprite. His bottle holds 8 cups of drink. How much cranberry juice does she need to fill the bottle?
Answer:
Cranberry juice needed to fill the bottle = 5.2 cups
Step-by-step explanation:
sports drink mix:
Orange juice = 25%
Cranberry juice = 65%
Sprite = 10%
His bottle holds 8 cups of drink.
How much cranberry juice does she need to fill the bottle?
Cranberry juice needed to fill the bottle = 65% of 8 cups
= 65/100 × 8
= 0.65 × 8
= 5.2 cups
Cranberry juice needed to fill the bottle = 5.2 cups
Orange juice needed to fill the bottle = 25% of 8 cups
= 25/100 × 8
= 0.25 × 8
= 2 cups
Orange juice needed to fill the bottle = 2 cups
Sprite needed to fill the bottle = 10% of 8 cups
= 10/100 × 8
= 0.1 × 8
= 0.8 cups
Sprite needed to fill the bottle = 0.8 cups
Which point best represents V26 on the number line below?
Answer:
Th answer is C u got it right
Step-by-step explanation:
Find the 50th term of 15, 9, 3, -3,...
Answer:-32 I THINK IM NOT 100 PERCENT POSITIVE
Step-by-step explanation:
The cost of Spectrum Internet is $60 per month plus a one time $35 installation fee. How much would it cost to have internet for a year including installation
Answer:
$755
Step-by-step explanation:
You can use the formula c = 60m + 35 for this. c is the cost and m is the number of months. Since a year is 12 months, 60m = 60*12 = 720. Then add the one time fee of $35. 720 + 35 = 755.
Lucia is helping her grandmother make a quilt. They have 4 yards of fabric, which is equal to 144 inches. They need an additional 1 1/2 yards of fabric to finish the trim.
Answer:
They need an additional 54 inches of fabric
Step-by-step explanation:
This can be solved by using the unitary method.
Unitary method is that we find the measure of 1 unit and then mulitply it with the required number to get the actual measurement.
4 yards of fabric is equal to 144 inches
1 yard of fabric is equal to 144 inches/4= 36 inches
They need an additional 1 1/2 yards of fabric
So multiplying 1 1/2*36= 3/2*36= 3*36/2= 108/2= 54 inches
They need an additional 54 inches of fabric
3/4 x 2/5 x 4/3 please helpppppppppppppppppppp
Answer:
24/60 or 0.4
Step-by-step explanation:
3/4×2/5=6/20
4/3×6/20=24/60
24/60
What is the slope of the line that passes through the points (-2, 3) and (-14, -5) ? ( Write your answer in the simplest form.
Answer:
⅔
Step-by-step explanation:
slope = (-5-3)/(-14+2) = -8/-12= ⅔
Can someone plz help me with this one problem plz I’m trying to get to a 70
Answer:
10 2/4
Step-by-step explanation:
Answer:
look at the picture i sent
The volume of a cylinder is 768 N in³. Find the radius of the cylinder (in inches) if the height is 3 in
What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?
O x=-4-
를
and x = -4+
7
2
를
O x=-4-
25
2
and x = -4+
25
V2
21
O x=-4-
LU
and x = -4 +
21
V2
끌
41
O x=-4-
41
and x = -4 +
V 2
Answer:
[tex]\mathrm{X\:Intercepts}:\:\left(\frac{-8+\sqrt{82}}{2},\:0\right),\:\left(-\frac{8+\sqrt{82}}{2},\:0\right)[/tex]
Step-by-step explanation:
[tex]f\left(x\right)\:=\:2x^2\:+\:16x\:-\:9[/tex]
- Given
[tex]\mathrm{X\:Intercepts}:\:\left(\frac{-8+\sqrt{82}}{2},\:0\right),\:\left(-\frac{8+\sqrt{82}}{2},\:0\right)[/tex]
By definition of zeros of a function, the zeros of the quadratic function f(x) = 2x² + 16x – 9 are [tex]x1=-4+\frac{\sqrt{82}}{2}[/tex] and [tex]x2=-4-\frac{\sqrt{82}}{2}[/tex] .
What is zeros of a functionThe points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.
That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.
Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.
In a quadratic function that has the form:
f(x)= ax² + bx + c
the zeros or roots are calculated by:
[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4ab } }{2a}[/tex]
This caseThe quadratic function is f(x) = 2x² + 16x – 9
Being:
a= 2b=16c=-9the zeros or roots are calculated as:
[tex]x1=\frac{-16+\sqrt{16^{2}-4x2x(-9) } }{2x2}[/tex]
[tex]x1=\frac{-16+\sqrt{256 +72 } }{4}[/tex]
[tex]x1=\frac{-16+\sqrt{328} }{4}[/tex]
[tex]x1=\frac{-16+\sqrt{4x82} }{4}[/tex]
[tex]x1=\frac{-16+2\sqrt{82} }{4}[/tex]
[tex]x1=\frac{-16}{4}+\frac{2\sqrt{82}}{4}[/tex]
[tex]x1=-4+\frac{\sqrt{82}}{2}[/tex]
and
[tex]x2=\frac{-16-\sqrt{16^{2}-4x2x(-9) } }{2x2}[/tex]
[tex]x2=\frac{-16-\sqrt{256 +72 } }{4}[/tex]
[tex]x2=\frac{-16-\sqrt{328} }{4}[/tex]
[tex]x2=\frac{-16-\sqrt{4x82} }{4}[/tex]
[tex]x2=\frac{-16-2\sqrt{82} }{4}[/tex]
[tex]x2=\frac{-16}{4}-\frac{2\sqrt{82}}{4}[/tex]
[tex]x2=-4-\frac{\sqrt{82}}{2}[/tex]
Finally, the zeros of the quadratic function f(x) = 2x² + 16x – 9 are [tex]x1=-4+\frac{\sqrt{82}}{2}[/tex] and [tex]x2=-4-\frac{\sqrt{82}}{2}[/tex] .
Learn more about the zeros of a quadratic function:
brainly.com/question/842305
Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?
y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=20x +2; x is any real number greater than or equal to 0, and y is any real number greater than or equa
Answer:
10, 2x=20
10 the answer is ten
Would it be A, B, Or C?
Answer:
It would be D.
Step-by-step explanation:
After graphing, option D best correlates to the red triangles (patient B).