Answer:
[tex]\boxed{8x+6 \: units= base}[/tex]
Step-by-step explanation:
Altitude = 3x
Area = 12x² + 9x
We know that
Area of right triangle = ½ × base × altitude
Then,
12x² + 9x = ½ × 3x × base
[tex]12x ^ { 2 } +9x= \frac{ 3x }{ 2 } \times \: base[/tex]
[tex]\frac{6x\left(4x+3\right)}{3x} = \frac{3x\times \: base}{3x}[/tex]
[tex]\frac{6x\left(4x+3\right)}{3x} = base[/tex]
[tex]\underline{\underline{8x+6 \: units= base}}[/tex]
________
Hope it helps ⚜
(23/7+61/3)_34/3
what the answer
-10x19=2x2 please do explanation
Answer:
x=0 or x=−95
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−190x=2x²
Step 2: Subtract 2x² from both sides.
−190x−2x²=2x²−2x²
−2x²−190x=0
Step 3: Factor left side of equation.
(−2x)(x+95)=0
Step 4: Set factors equal to 0.
−2x=0 or x+95=0
x=0 or x=−95
[tex]~~~~2x^2 =-10 \times 19\\\\\implies 2x^2 = -190\\\\\implies x^2 = -\dfrac{190}2\\\\\implies x^2 = -95\\\\\implies x = \pm\sqrt{-95}\\\\\implies x = \pm \sqrt{-1}\sqrt{95}\\\\\implies x = \pm i\sqrt{95}[/tex]
Find the area of the perimeter and the area of the following figure.
Which is zero of the polynomial expression 7x+21
solve these quetions......
Step-by-step explanation:
a.) 9
When you divide with a fraction you do the reciprocal of the fraction (basically flipping numerator and denominator) then multiplying (since the opposite of division is multiplication.
So if you flip
[tex]\frac{1}{9} [/tex]
It would be:
[tex] \frac{9}{1} [/tex]
9/1 is the same as 9 so:
1 times 9 = 9
b.) 15
Same thing like we did above, just do the reciprocal the multiply.
[tex] \frac{1}{5} [/tex]
Becomes
[tex] \frac{5}{1} [/tex]
5/1 is the same as 5.
3 times 5 = 15
PLEASE HELP!! I DON'T UNDERSTAND IT
find the volume of number ten pls i know the answer is 449.57 the figure is to the left
Answer:
see below ( I do not think 449.57 m^2 is correct for surface area)
Surface area = 374.65 m^2 Volume = 448.83 = ~~ 449 m^3
Step-by-step explanation:
Find the SURFACE AREA (NOT the volume)
Height of cone = sqrt ( 13^2 - 4.5^2) = 12.1963 m
surface area equation for cone = pi * r * (r+ sqrt (h^2+r^2) ) = 247.4 m^2
Sphere surface area = 4 pi r^2 = 254.5 m^2
HEMIsphere is 1/2 of this = 127.235 m^2
Add the two surface areas = 374.65 m^2
For VOLUME: cone 1/3 pi r^2 h = 257.979 m^3
HEMIsphere = 1/2 4/3 pi r^3 = 190.851 m^3
Total VOLUME is then 448.83 m^3
If an arithmetic sequence has a4 = 107 and a8 = 191, what is a₁?
PLEASE HELP ME
[tex]\text{nth term of an arithmetic sequence,}\\\\a_n = a_1 + (n-1)d\\\\a_4 = a_1 +3d=107~~~......(i)\\ \\a_8=a_1+7d = 191~~~......(ii)\\\\\\\text{(ii) -(i):}\\\\~~~~~~a_1+7d-a_1-3d = 191 -107\\\\\implies 4d = 84\\\\\implies d = \dfrac{84}4\\\\\implies d= 21\\\\\text{Substitute d= 21 in eq~(i):}\\ \\~~~~~ a_1 +3(21) = 107\\\\\implies a_1 + 63 = 107\\\\\implies a_1 = 107-63\\\\\implies a_1 =44[/tex]
4) What is the measure of angle MLO?
(Equilateral Triangle)
Answer:
m<MLO = 120°
Step-by-step explanation:
Equilateral Triangles have all 60° angles.
m<MLN = m<OLN = 60°
60°+60°=120°
HELE ME PLEASE!
Find the exact volume of the cylinder.
A)
4577 cm3
B)
90 cm3
C)
2257 cm3
D)
9001 cm3
Answer:
none of them are right not sure what's up with that.
Step-by-step explanation:
cylinder is base*height
base is pi*r^2, or 25pi
height is 9, so the volume is 225pi is about 707, so none of the answers are correct
What is the measure of angle x?
Answer:
The answer is 47°
Step-by-step explanation:
Total angles in a triangle is 180°
so 31+x+102 = 180
x= 180-133
x=47°
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
h2 + 26h +
Using the standard format of a perfect-square quadratic sum, it is found that the value that completes the expression is 169.
What is the standard format of a perfect-square binomial sum?It is represented by:
(a + b)² = a² + 2ab + b².
In this problem, we have that the expression is:
a² + 2ab + b² = h² + 26 + b².
Hence a = 1, 2ab = 26 -> b = 13, thus the value that completes the expression is:
b² = 13² = 169.
More can be learned about perfect-squares at https://brainly.com/question/13136492
OLZ HELP ILL MARK AS BRAINLEST
Answer:
-2
Step-by-step explanation:
The slope is rise over run. If we look at the points we can see the rise is -2 and the run is 1. -2/1 = -2, so my answer is correct.
Answer:
Hi I’m the friend
Step-by-step explanation:
by the way I also need brainliest, so you get to choose who to mark as brainliest
find the simple interest due on a 270-day loan of $20,000 at an interest rate of 8.875%
Answer:
first you need to take way 20,000-88.75 =19,911.25 now you need to multiple 19,911.25×270=3,982345.go and see for your self
Spring 22
What is the total weight of 12 basketballs that weigh 20 ounces each?
The total weight of the basketball is ?
Answer:
240
Step-by-step explanation:
The answer is 240. You have to multiply 20 times 12 since each basketball has an equivalent weight to the others. Hope this helps! :)
Answer:
1 ounce =28grams
Step-by-step explanation:
if 1 ounce=28grams
20ounce=20ounces x 28 grams
=560g
one ball weighs 560grams
Solve the system using elimination.
4X +5Y = 22
X +3Y =0
Answer:
x = 3
y = -2
--------------------------------------------------------------------------------------------------------
4x + 5y = 2........i
2x + 3y = 0........ii
---------------------------------------------------------------------------------------------------------
Let's start by eliminating x, so we multiply i by 2 and ii by 4
2|4x + 5y = 2
4|2x + 3y = 0
So that we have
8x + 10y = 4..........iii
8x + 12y = 0..........iv
---------------------------------------------------------------------------------------------------
Subtracting iv from III, we have
-2y = 4
y = 4/-2
y = -2
---------------------------------------------------------------------------------------------------
Going ahead and substituting this value of y in eqn i, we have
4x + 5(-2) = 2
4x - 10 = 2
4x = 2 + 10
4x = 12
x = 12/4
x = 3
Step-by-step explanation: hope this helps, brainliest please <3
please. im begging can you help me on this ?
Answer:
I think its B (x-5=13)
Step-by-step explanation:
if its x-5=13
Pedro bought 13 and 5
so 13+5 = 18 (x)
so rearrange the equation to be x-5=13
so imagine x=18 and it would work:
18-5=13
Answer: B. x - 5 = 13
Step-by-step explanation:
Since Pedro bought the picture frames for his mother, we will see what she does with them. 5 go to her sister and 13 are kept for herself. Let x be the number of picture frames Pedro buys.
5 + 13 = x
This is not one of the answer choice, but x - 5 = 13 is. If we subtract 5 from both sides of the equation we created above, this proves to be our answer.
B. x - 5 = 13
Matt bought 6 pie molds at a cost of $1.22 per mold. He also bought 6 pre-
made crusts at a cost of $0.97 per crust. How much did Matt spend on pie
molds?
Answer:
$13.14
Step-by-step explanation:
Determine the unknown side of the similar
triangle.
3 in
4 in
Q
12 in
Answer:
Q=9
Step-by-step explanation:
if we get the bottom lengths of both triangles and divide them by eachother we can find the scale factor. so 12/4=3 meaning the scale factor is 3 meaning the bigger triangle is 3 times bigger so if we have the smaller version of the length of Q we just have to multiply 3 by 3 to get the enlarged version so Q=9inch
(its a lot of words but i wanted to make sure you understand)
How do my child do this
2. Choose the graph that shows the solution of the inequality on the number line
c<-1
|||||||||
-6 -4 -2 0 2
|||||||→
-6
-4 -2 0 2
|||→
-6 -4 -2 0 2
++
6
-4 -20
Answer:
Number line 3 also known as [C]
Step-by-step explanation:
Given that:
c ≤ -1
Knowing that:
≤ = Less than or equal to
Now substitute into the equation:
C less than or equal to -1
Thus, it going left on a number line.
The only number line with left is [A] and [C]
Since ≤ = Less than or equal to -1
then, it including -1
also known as a closed circle means the number is included and an open circle means it is not.
Hence, it closed circle.
Thus, the answer is [C]
Kavinsky
n -1 1/2 for n= 1 1/7 cant figure this out
Answer:-5/14
Step-by-step explanation:
make then equal and insert N, 16/14-21/14=-5/14
Suppose you want to accumulate $120,000 for your retirement in 30 years.
Consider these two plans:
Plan A: make a single deposit into an account with an annual compounding and an APR of 5%.
Plan B: Make a single deposit into an account with continuous compounding and an APR of 4.8% 
1.) how much do you need to deposit in each amount in order to reach the goal?
2.) calculate the current APR the compounding period, and the claimed APY for your personal savings account. (Or pick a rate from a nearby bank)
3.) calculate the APY on your account (or someone u know)
4.) Does your calculation agree with the APY claimed by the bank?
The amount that would be needed to be deposited in order to reach the goal is:
Plan A: $27,765.29.Plan B: $28,431.33Calculations and Parameters:Since Plan A compounds annually at an apr of 5%.
and plan B compounds continuously at an apr of 4.8%
PART AUsing the formula for annual compounding
[tex]f = p * (1+r)^n[/tex]
Where
f is the future value which is equal to 120,000p is the present value.r is the interest rate per time period.n is the number of time periods.Because the compounding is done annually, then the APR/100= 0.05
Also, because the time periods are annual, hence, the time periods would be equal to the number of years = 30.
Putting the values together:
120,000 = p * (1.05)^30.
divide both sides of this formula [tex](1.05)^3^0[/tex] to get:
[tex]120,000 / (1.05)^3^0[/tex] = p which makes p equal to $27,765.29.
PART BTo solve for the PART B answer
the formula for continuous compounding is:
[tex]f = p * e^(r*n)[/tex]
Where
r is the interest rate per time period which is in years.n is the number of time periods which is in years.The formula becomes:
[tex]120,000 = p * e^(.048 * 30).[/tex]
divide both sides of this equation by [tex]3^(.048 * 30)[/tex] to get:
[tex]120,000 / (e^(.048*30))[/tex] = p which makes p equal to $28,431.33.
#SPJ1
Read more about compound interest here:
https://brainly.com/question/24274034
What is the value of the discriminant for the equation 0=2x^2+x-3?
Discriminant = b^2-4ac
A.-25
B.-23
C.25
D.26
Answer: 25
Step-by-step explanation: The quadratic equation may be expressed in a form, ax² + bx + c =0. From the given equation, a = 2, b = 1, and c = -3. Substituting these value to the equation of the discriminant (D).
D = b² - 4ac
D = 1² - (4)(2)(-3) = 25
Thus, the discriminant of the equation of 25.
friends needs this anwsered help
Answer:
3, 8, 14, 30, 58
Step-by-step explanation:
As with all formulas, put the numbers in place of the corresponding variables, and do the arithmetic.
[tex]a_1=3\qquad\text{given}\\\\a_2=8\qquad\text{given}\\\\a_3=2a_1+a_2=2(3)+8=14\\\\a_4=2a_2+a_3=2(8)+14=30\\\\a_5=2a_3+a_4=2(14)+30=58[/tex]
The first 5 terms of the sequence are 3, 8, 14, 30, 58.
5 - x divided by 3/4 x = 1/3
Answer:
x = 4
Step-by-step explanation:
(5-x) / (3/4x) = 1/3
multiply both sides by 3/4 x
5-x = 3/12 x add 'x' to both sides of the equation
5 = 15/12 x multiply both sides by 12/15
4 = x
From a hot-air balloon, Enola measures a 22 degrees angle of depression to a landmark that’s 310 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
125.25 ft
Step-by-step explanation:
The geometry of the problem can be modeled by a right trianlge in which the side adjacent to the angle is 310 ft, and the side opposite the angle is the one we want to find. The relevant trig relation is ...
Tan = Opposite/Adjacent
__
Solving for the Opposite side (the height of the balloon), we find ...
Opposite = Adjacent · Tan
height = (310 ft)·tan(22°) ≈ 125.25 ft
Enola's balloon is about 125.25 ft above the ground.
_____
Additional comment
If we assume Enola's angle measurement can have a possible error of ±0.5°, then the corresponding error in the balloon height is more than ±3 ft. It is a bit of nonsense to report the height to the nearest 0.12 inches, (0.01 ft).
p^2 + 3p - 18 is divided by p - 3.
Answer:
p + 6
Step-by-step explanation attached as image.
The results of a poll show that between 74% and 82% of consumers prefer Chip A to Chip B. What is the point estimate for the percent of consumers that prefer Chip A to Chip B?
74%
78%
82%
8%
Answer:
78%
Step-by-step explanation:
First of all, the point estimate is a value located in between the upper confidence limit and the lower confidence limit, it identifies a point in some parameter space.
This question provides us with an interval estimate which is a range of values used to estimate a population parameter.
Interval Estimate = 74% to 82%
74% = Lower confidence limit
82% = Upper confidence limit
Point estimate = middle value
= [tex]\frac{74+82}{2}=\frac{156}{2}[/tex]
= 78%
4.
Which statement best describes the figure shown below?
A The ray appears to be perpendicular to 2 line segments that appear to be
parallel
B The ray appears to be parallel to 2 line segments that appear to be
perpendicular.
C The line segment appears to be perpendicular to 2 lines that appear to be
parallel
D The line segment appears to be parallel to 2 lines that appear to be
perpendicular.
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