Value of x is 30 and y is 30, if angle A is (2x), angle B is (y+x), and angle C is (y-x).
Define angle.The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles. a geometric shape made up of two lines that meet at the same point or two planes that meet at the same line. the distance in degrees between such lines or planes.
Given
Angle A = 2x
Angle B = y + x
60 = y + x
y = 60 - x
Angle C = y - x
60 = y - x
60 + x = y
As we know, sum of triangle is 180
2x + 60 - x + 60 + x = 180
2x - x + x = 180 - 120
2x = 60
x - 30
For value of y, equating value of x in y = 60 - x
y = 60 - 30
y = 30
Value of x is 30 and y is 30, if angle A is (2x), angle B is (y+x), and angle C is (y-x).
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You have one type of nut that sells for $4.50/lb and another type of nut that sells for $8.00/lb. You would like to have 28 lbs of a nut mixture that sells for $7.80/lb. How much of each nut will you need to obtain the desired mixture?
You will need
lbs of the cheaper nut
and
lbs of the expensive nut.
Answer:
I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.
Step-by-step explanation:
Since I have one type of nut that sells for $ 4.50 / lb and another type of nut that sells for $ 8.00 / lb, and I would like to have 28 lbs of a nut mixture that sells for $ 7.80 / lb, to determine how much of each nut will I need to obtain the desired mixture, the following calculation must be performed:
8 x 0.95 + 4.5 x 0.05 = 7.825
8 x 0.94 + 4.5 x 0.06 = 7.79
0.94 x 28 = 26.32
26.4 x 8 + 1.6 x 4.5 = 218.4
218.4 / 28 = 7.8
Thus, I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.
Given that △DEF is a right triangle and that ∠E=90° with sides DE¯¯¯¯¯=3, DF¯¯¯¯¯=5, and FE¯¯¯¯¯=4, which ratio would be equal to sin(D)?
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Answer:
sin(D) = 4/5
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(D) = FE/DF
sin(D) = 4/5
What two numbers add up to 4 and multiply to -60
Answer:
10 + -6
Step-by-step explanation:
add them up to 4 and multiply to -60
Any help would be appreciated
A cylinder has a volume of 8792 cubic units. If the height is 7 cubic u it’s which of the following is the radius
Answer:
20 units
Step-by-step explanation:
Volume of a cylinder = πr²h
V = πr²h
height, h = 7
V = π * r² * 7
V = 8792
8792 = 21.991148 * r²
r² = 8792 / 21.991148
r² = 399.79722
r = √399.79722
r = 19.99unit
r = 20 units
How do u go pro at skateboarding? Also why is my baseball cup so uncomfortable?
Answer:
You can probably go pro at skating by just practicing a ton and learning new skills and tricks that separates you from other skaters. Its not very hard to be a "pro", its hard to make money off of skating because of the lack of audience it has. Also, I assume your baseball cap is uncomfortable because of the material or your hair.
Hope that helps
The reverse of adding 6 is:
A. dividing by 6
B. adding 1/6
C. subtracting 6
D. adding 6
E. multiplying by 6
F. subtracting 1/6
Answer:
C. subtracting 6
Step-by-step explanation:
If you add 6 to a number then subtract t you get the same number because they are inverse operations
Hope I helped! (p.s. maybe brainliest answer)
It took 3 yards of gauze dressing to wrap the patient's arm. How many inches of gauze dressing was used?
200000*900000= what HELP PLEASE
I'll mark brainliest
Answer:
Step-by-step explanation:
1.8E11 is the correct answer
Answer:
200000*900000= 180000000000
Step-by-step explanation:
:))
Find the slope of the line passing through the points (5,-2) and (9,18) PLEASE HELP I NEED WORK SOWN AND IM BEING TIMED I HAVE 30 MIN LEFT giving 15 points I NEED A GOOD GRADE
Answer:
m = 5
Step-by-step explanation:
(5,-2) and (9,18)
Slope:
m=(y2-y1)/(x2-x1)
m=(18+2)/(9-5)
m=20/4
m = 5
Joel went to the market to buy a juicy watermelon and found the volume was 523.6 mm. what is the radius of the watermelon? round to the nearest whole number.
Answer:
The radius of the watermelon was 5 milimeters.
Step-by-step explanation:
Since Joel went to the market to buy a juicy watermelon and found the volume was 523.6 square mm., To determine what is the radius of the watermelon, the following calculation must be performed, knowing that the volume of a sphere is equal to four thirds multiplied by pi, multiplied by the radius cubed:
4/3 x 3.14 x X^3 = 523.6
4.186 x X^3 = 523.6
X^3 = 523.6 / 4.186
X = 3√ 125.06
X = 5
Therefore, the radius of the watermelon was 5 milimeters.
what is 381.7 rounded to the nearest tenth?
You have $400,000.00 saved in a retirement account paying 4% interest compounded monthly and are ready to start your retirement. You have to figure out how much money you can safely take out of your account every month because you don't want to run out of money before you die.
How much money can you take out each month if you expect to live another 25 years?
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Answer:
$2,104.33 at the beginning of the month, or
$2,111.35 at the end of the month
Step-by-step explanation:
The amount you can withdraw at the end of the month is given by the annuity formula ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where principal P is earning annual rate r for t years
A = $400,000(0.04/12)/(1 -(1 +0.04/12)^(-12·25)) ≈ $2,111.35
If the withdrawal is at the beginning of the month, then the amount is less by a factor of (1+0.04/12) ≈ 1.003333. It will be $2,104.33.
la masa de un camión de 45000000
Explicación:
conversión de 45.000.000 gr a kg
45.000.000 gr ( 1 kg / 1000 gr) = 45.000 kg
conversión de 45.000 kg a toneladas
45.000 kg ( 1 ton / 1000 kg) = 45 ton
Respuesta: Espero te sirva...
A merchant sells goods which cost $240 for $299. What percentage is his profit of the cost price?
Answer:
24.58%
Step-by-step explanation:
Given that,
Initial cost = $240
Final cost = $299
We need to find the percentage in his profit of the cost price.
Profit = Final cost - Initial cost
= $299 - $240
= $59
Percentage,
[tex]\%=\dfrac{59}{240}\times100\\\\=24.58\%[/tex]
So, the required percentage is equal to 24.58%.
You randomly select one card from a 52-card deck. Find the probability of selecting a two or a five.
Answer:
2/13
Step-by-step explanation:
there are 4 5s and 4 2s so
8/52
simplified is 2/13
If 55% of a number is 209 and 35% of the same number is 133, find 90% of that number.
Answer:
205 is 55% of 372 and is 335 90% of 372
Step-by-step explanation:
1. Determine P(green) and P(orange for the spinner. Write the probabilities as fractions, decimals and percents.
Answer:
A) P(Green) = 1/8, 0.125, 0r 12.5%
P(Orange) = 1/2, 0.5, or 50%
B) P(Not Yellow) = 3/4, 0.75, or 75%
Step-by-step explanation:
A) P(Green) = 1/8, 0.125, 0r 12.5%
P(Orange) = 1/2, 0.5, or 50%
B) P(Not Yellow) = 3/4, 0.75, or 75%
please help and show work
Plz help I am very confused on this
Answer:
(-4, 0)
Step-by-step explanation:
(-4, 0)
I need help with this math assignment ASAP
Answer:
A. 125 because 35+90=125
Step-by-step explanation:
1) Madison went shopping and spent $125 she paid $45 in Texas what was the sale tax rate (percent)
Answer:
170
Step-by-step explanation:
How the sales tax de-calculator works
Step 1: take the total price and divide it by one plus the tax rate.
Step 2: multiply the result from step one by the tax rate to get the dollars of tax.
Step 3: subtract the dollars of tax from step 2 from the total price.
Pre-Tax Price = TP – [(TP / (1 + r) x r]
TP = Total Price.
What is the y value in the system of equations shown below?
y = 5 - 1/2x
3x - 2y = 6
What is 4 1/7 in simplest form ??
Answer:28
Step-by-step explanation:
Answer:
29/7 or in decimal form: 4.1428...
Please give me the correct answer
Answer:
-63
Step-by-step explanation:
5×9 = 45
45/-5 = -9
-9×7 = -63
Solve each equation.
4) x2+21=102 5) x2-6=-2
6) 80= x2-64x3+25=150 8) x2-14=155 9) x3+5=221
BRAINLIEST
what is is distance between (0,2) and (5,2)
-7.66666, \sqrt(50,) -(157)/(20), -7.64 list these from least to greatest.
Answer:
From least to greatest, the correct order is: [tex]-\frac{157}{20}[/tex]; -7.666....; -7.64; and [tex]\sqrt{50}[/tex].
Step-by-step explanation:
Since [tex]\sqrt{50}[/tex] is the only positive number, that means that it will be the greatest number on the list. [tex]-\frac{157}{20}[/tex] is equivalent to -7.85, which makes it the smallest number. So you can conclude that the correct order is [tex]-\frac{157}{20}[/tex]; -7.666...; -7.64; and [tex]\sqrt{50}[/tex].
Check the pic please
I also want the steps pleaseee
Answer:
E) 5.4m
Step-by-step explanation:
ratio of triangle FGH : triangle JKL => 2.1 : 1.4
perimeter of triangle FGH = x
2.1 : 1.4 = x : 3.6
=> 1.4x = 2.1 × 3.6
=> x = 2.1 × 3.6 ÷ 1.4 = 5.4
A full bottle holds 1/4gallon of juice, If of3/5
the juice has beenpored how much
juice is left in the bottle?
Answer:
1/10 gallon
Step-by-step explanation:
2/5 left of 1/4 gallon
2/5 x 1/4 = 2/20 = 1/10 gallon