Answer:
30
[tex]b = \sqrt{ {c}^{2} - {a}^{ {2} } }[/tex]
[tex]b = \sqrt{ {34}^{2} - {16}^{2} } [/tex]
[tex]b = \sqrt{1156 - 256} [/tex]
[tex]b = \sqrt{900} [/tex]
[tex]b = 30[/tex]
1. What is the area of the triangle? (Area of triangle = 1/2*b*h)
2. What is the area of the semicircle? Round your answer to the nearest tenth (Area of circle = 3.14 *r^2)
1. The area of the triangle = 40 m².
2. The area of the semicircle = 64.3 m²
What is the Area of a Triangle?Area = 1/2(base × height)
What is the Area of a Semicircle?Area = 1/2(πr²)
1. Area of the Triangle = 1/2(base × height) = 1/2(10 × 8)
Area of the triangle = 40 m².
2. Use Pythagorean Theorem to find the hypotenuse of the triangle which is the diameter of the semicircle.
Hypotenuse = √(10² + 8²) = 12.8 m
Radius of the semicircle = 12.8/2 = 6.4 m
Area of the semicircle = 1/2(3.14 × 6.4²) = 64.3 m²
Learn more about the area of triangle and semicircle on:
https://brainly.com/question/12229862
Teresa is loading her car with boxes that each weigh 4 3/4 pounds. If Teresa loads 9 of theses boxes find the combined weight of each box
Total weight:-
9(19/4)171/442-3/4lbsFind the interest rate for a principal of $9442 and charged $30233 in interest for 18 years.
Frank bought 20 pounds of sugar for $10. How many pounds of sugar did he get per dollar?
Answer:
$2
Step-by-step explanation:
20lb divided by $10.
20 divided by 10 is 2
Find the measure of each angle.
x - 7
X
x + 10
Answer:
x - 7: 52
x: 59
x + 10: 69
Step-by-step explanation:
Since we have a straight line, we know that the angles must add up to 180. We can set up an equation to solve:
x - 7 + x + x + 10 = 180
Combine like terms:
3x + 3 = 180
Subtract 3 on both sides:
3x = 177
Divide by 3 on both sides:
x = 59
Now plug in 59 for each angle.
The "x - 7" angle should equal 52, the "x" angle should equal 59, and the "x + 10" angle should equal 69.
Answer:
52°, 59°, and 69°
Step-by-step explanation:
Each of these angles add up to make a straight line, or = 180°
(x - 7) + x + (x + 10) = 180
3x + 3 = 180
3x = 177
x = 59
Angle A = 52°
Angle B = 59°
Angle C = 69°
52 + 59 + 69 = 180!
4(x+5)=6(x+4) what is x
Answer:
x = -2
Step-by-step explanation:
1) Distribute
4(x+5)=6(x+4)
4x+20=6(x+4)
2) Distribute
4x+20=6(x+4)
4x+20=6x+24
3) Subtract 20 from both sides
4x+20=6x+24
4x+20-20=6x+24-20
4) Simplify
- Subtract the numbers
4x+20-20=6x+24-20
4x=6x+24-20
- Subtract the numbers
4x = 6x + 24 - 20
4x = 6x + 4
5) Subtract 6x from both sides
4x = 6x + 4
4x - 6x = 6x + 4 - 6x
6) Simplify
- Combine like terms
4x-6x = 6x + 4 - 6x
-2x = 6x + 4 - 6x
- Combine like terms
-2x = 6x + 4 - 6x
-2x = 4
7) Divide both sides by the same factor
-2x = 4
-2x/-2 = 4/-2
8) Simplify
- Cancel terms that are in both the numerator and denominator
-2x/-2 = 4/-2
x = 4/-2
- Divide the numbers
x = 4/-2
x = -2
PLEASE HELP 50 POINTS OLUS BRAINLY
Answer: 4n-7
Step-by-step explanation:
Given the complex number z_1=3\big(\cos \frac{14\pi}{15} +i\sin \frac{14\pi}{15}\big)z 1 =3(cos 15 14π +isin 15 14π ) and z_2=3\sqrt{3}\big(\cos \frac{11\pi}{15} +i\sin \frac{11\pi}{15}\big)z 2 =3 3 (cos 15 11π +isin 15 11π ), express the result of z_1z_2z 1 z 2 in rectangular form with fully simplified fractions and radicals.
The product of z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15) in rectangular form with fully simplified expressions is z₁ · z₂ = 7.794 - i · 13.5.
How to determine the product of two complex numbers
Let be two numbers of the form z = a + i · b, where i = √-1, the product of two of these numbers in rectangular form is described by the following formula:
z₁ · z₂ = (a + i · b) · (c + i · d) = (a · c - b · d) + i · (a · d + b · c) (1)
If we know that a = 3 · cos 14π/15, b = 3 · sin 14π/15, c = 3√3 · cos 11π/15, d = 3√3 · sin 11π/15, then the result in rectangular form is:
z₁ · z₂ = 7.794 - i · 13.5
The product of z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15) in rectangular form with fully simplified expressions is z₁ · z₂ = 7.794 - i · 13.5. [tex]\blacksquare[/tex]
Remark
The statement presents typing mistakes and is poorly formatted, the correct form is introduced below:
Given the complex number z₁ = 3 · (cos 14π/15 + i · sin 14π/15) and z₂ = 3 √3 · (cos 11π/15 + i · sin 11π/15), express the result of z₁ · z₂ in rectangular form with fully simplified fractions and radicals.
To learn more on complex numbers, we kindly invite to check this verified question: https://brainly.com/question/10251853
Evaluate
A)9
B)-9
c) 729
d) -729
The correct option is c) 729
Explanation :-
[tex] \frac{1}{ {3}^{ - 2} {x }^{ - 4} {y}^{2} } [/tex][tex] = \frac{ {3}^{2} {x}^{4} }{ {y}^{2} } [/tex]Now , we just need to substitute " x = 3 " and " y = -1 " in the equation above.
[tex] ⇢ \frac{ {3}^{2} {(3)}^{4}}{ {( - 1)}^{2} } [/tex][tex] = \frac{3 \times 3 \times 3 \times 3 \times 3 \times 3}{( -1) \times ( - 1)} [/tex][tex] = \frac{729}{1} [/tex][tex] = \underline { \boxed{ 729}}[/tex]
PLEASE HELP!!!
Write an expression using fractions to show how to determine the amount that each person will pay?Then calculate each person's contributions showing all steps in long division.
my chart:
jazzy: 35.7$
emily:48.9$
sarah:48.9$
layla:19.3$
total amount: 327$
________________________________________________________
SolveTo solve this problem, we must add each price together for the total.
[tex]4.26 + 9.76 + 6.33 + 14 = 34.35\[/tex]
To calculate our total store profits while finding the four contributions, we could divide by percent. For this case, 6%, also equal to 0.06
[tex]\frac{(estimate)34}{6\%(0.06)} = 573(estimate)[/tex]
Now that we have 573 as our estimate, subtract 573 by 34
[tex]573 - 34 = 539[/tex]
Therefore, the store's total profits were 573 dollars, and the four contributions from Jane, John, Zoey, and Hailey contributed to 34 dollars of it.
________________________________________________________
SolvedWe made 573$ total! That is a lot.Note that using percent and division was actually to calculate the store's total profits followed by the four contributions listed earlier. If any of this confuses you, please feel free to ask a question.________________________________________________________
Questions?Ask in the comments box.
(x^2 - 14x + 48) divided (x-6)
Answer: (x^2 - 14x + 48) : (x-6) = 0(x^2 - 14•x + 48) : (x-6) = 0x = 8
Step-by-step explanation:
i hope this is the answer your looking for
Al llegar a la caja de un supermercado, la cuenta fue de 330 en alimentos y 150 en útiles de aseo . En el momento de pagar, le descontaron 10. si recibio 30 de vuelto ¿con cuanto pago?
Answer:
500
Step-by-step explanation:
330+150=480
480-10=470
470+30=500
multiplication problem
Answer:
No, that is incorrect.
When doing a multiplication problem, you cannot simply take out a number from a number and expect the same result. This is under some circumstances. Let's solve the equations to see the results.[tex]21 * 34 = 714\\20 * 35 = 700[/tex]
As shown in the expressions, the results differ, proving our theory from earlier.__________________________________________________________
Questions?Ask me in the comments box, please.
pls i need the answer rightnow pls pls pls im begging you pls
Answer:
20 -- 300 words
25 -- 600 words
30 -- 900 words
35 -- 1200 words
40 -- 1500 words
50 -- 2100 words
3) 600 words
4) 2100 words
5)No because the formula only accounds for ages between 20 and 50 months.
Brainliest would be appreciated
Step-by-step explanation:
Help me please !!!!!!
Answer; hi sisters daddy chill
Step-by-step explanation:
A local farmer decides to sell his produce at the farmer's market. Every Sunday he uses his own fuel to drive
to the market which is 300km away. This costs him R650.00 per week. He sells 50 boxes of fruit for R250.00
and 100 boxes of fruit for R350.00.
What is the dependent variable in this scenario?
Answer:
The money
Step-by-step explanation:
The drive to the farmers market is a certain distance away, which costs him a specific amount of money. If the distance were to change, then so would the price it took to get there per week. Additionally, as the amount of boxes increases, so does the price.
A dependent variable is a variable that directly changes as the independent variable(s) change. In this scenario, the money, or cost is what's changing based on other factors.
hope this helps :)
Write an equation of a parabola that opens upward, has a vertex at the origin, and a focus at (0, 2).
Answer:
Parabola opens upwards, so it's a vertical parabola. Vertex at origin (0,0) and focus at (0,2). Standard equation of this parabola is
| (X — h)^2 = 4p(Y — k) |
Focus is at (0,2), so distance between vertex and focus, which is p is 2 units. So 4p = 8 units.
So the equation of this parabola is,
(X — 0)^2 = 8(Y — 0)
X^2 = 8Y or Y = X^2/8
Step-by-step explanation:
1/4*3/4=what is the answer
Answer:
3 over 8
3
8
=0.375
Step-by-step explanation:
Plot the image of triangle AABC under a reflection across the y-axis.
Answer:
(6,4) (4,4) (2,3) or (2,2)
Step-by-step explanation:
hope it helps
49
Jerrelle spent $0.60 on five stickers. Each sticker costs the same amount. How much
did each sticker cost?
A
$0.06
B
$0.12
с
$1.20
D $5
Answer:
A. $0.60
Step-by-step explanation:
there are 5 strikers that cost $0.60 each, so the answer is letter A.
I WILL MARK BRAINLIEST
Is an antacid polar or non-polar?
Answer:
Antacid tablets react with water but not oil so its polar
How many solutions are there to the equation below?
x2 = 16
O A. 2
B. 16
C. 1
O D.O
E. 4
Answer:
A.2
Step-by-step explanation:
x² = 16
take the square root of both sides
x = ±4
there are 2 solutions to the equations, those 2 solutions being 4 and -4
just to double check
4² = 4 × 4 = 16
-4² = -4 × -4 = 16
I NEED HELP ASAP
Solve.
4x + 2(3x – 9) = x
A.
x = –2
B.
x = 1.8
C.
x = 2
D.
x = 18
Answer:
x=2
Step-by-step explanation:
[tex]4x+2(3x-9)=x\\\\\implies 4x +6x - 18 -x =0\\\\\implies 9x = 18\\\\\implies x = \dfrac{18}9 = 2[/tex]
A recent survey found that 5% of the population of the United States is unemployed. If Charlotte, North Carolina, has 30,850 unemployed, what is the population of Charlotte?
The population of Charlotte, North Carolina is approximately_____?
Answer:
617000
Step-by-step explanation:
Division reverses multiplication.
If the total population of Charlotte which we'll call 'x' follows
x * 0.05 = 30850, then
30850 / 0.05 = x
x = 617000
Which of the following is equivalent to (x + 1)^2 ?
x2 + 2x + 1
x2 + 1x + 1
x2 + 1
x2 + 1x
Answer:
x^2 +2x +1
Step-by-step explanation:
(x+1)^2
=(x+1)(x+1)
= x×x+x×1+1×x+1×1
=x^2+x+x+1
=x^2+2x+1
(2ax -6by + 4cz )+ (4by-14ax)+(9cz-4ax-6by) add the following expression pls i will mark you a brainest
Answer:
=2ax -6by +4cz + 4by -14ax +9cz -4ax -6by
=2ax -14ax -4ax -6by +4by -6by +4cz +9cz
= -16ax -8by +13cz
na conta de adição (soma) representa a seguir
Step-by-step explanation:
I only understand English i am sorry
Please help!!! I'm struggling
Step-by-step explanation:
please mark me as brainlest
Answer:
I hope it helped you
Step-by-step explanation:
Pls refer the given attachment
Katie baked a cake. Her brother ate 1/8 of the cake, her father ate 1/4 of the cake, and her mother ate 1/8 of the cake. How much is left?
Answer:
1/2
Step-by-step explanation:
hope this helps and have a nice day!
Circumference of the circle
Answer:
37 5/7
Step-by-step explanation:
use formular it will be 2pie -22/7 ×radius
since we have been given only radius it will be
2×22/7×6=37 5/7
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :
[tex] \qquad \tt \dashrightarrow \: 2\pi{r}^{} [/tex]
where, r = radius
Now, let's calculate it ~
[tex] \qquad \tt \dashrightarrow \: c = 2×\pi{}^{}×6 [/tex]
[tex] \qquad \tt \dashrightarrow \: c = 12\pi\: \: m[/tex]
That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14
[tex] \qquad \tt \dashrightarrow \: c = 12 \times 3.14{}^{} [/tex]
[tex] \qquad \tt \dashrightarrow \: c = 37.68\: \: m[/tex]
[tex] \qquad \tt \dashrightarrow \: c \approx 37.7\: \: m[/tex]