HELP 80 POINTS
Solve the right triangle.
Round your answers to the nearest tenth
Answers
answer:
A=46°
a=17.983 (tenths- 18, hundredths- 17.98)
b=17.366 (tenths- 17.4, hundredths- 17.37)
explanation:
1. find angle A
it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.
90°+44°=134°
180°-134°=46°
A=46°
2. find side a
using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.
cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)
25cosine44°=a
a=17.983
3. find side b
finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.
sine44°=[tex]\frac{b}{25}[/tex]
(multiply both sides by 25)
25sine44°=b
b=17.366
--
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Related Questions
Evaluate −30 ÷ −6. ghvfhv
Answers
Answer:
5
Step-by-step explanation:
used a cal
Answer:
5
Step-by-step explanation:
-30 / -6 = 5
-6 * x = -30
(drop the negatives)
30 / 6 = 5
-6 * 5 = -30
A weather researcher compared average monthly temperature data for
Athens, Greece, and Madrid,Spain answer quickly please I need this answer now
Answers
Considering the mean and range concepts, it is found that the correct option is:
C. On average, Athens have a higher temperature. However, temperatures in Madrid vary more.
What are the mean and the range of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The range is given by the subtraction of the highest value by the lowest.In this problem, Athens has a higher mean, while Madrid has a higher range, hence the correct option is:
C. On average, Athens have a higher temperature. However, temperatures in Madrid vary more.
More can be learned about the mean and range concepts at https://brainly.com/question/15796321
What is the arc measure of major arc CAD in degrees
Answers
Answer:
296°
Step-by-step explanation:
Find the third side, round the nearest 10th
Answers
Answer:
11.9
Step-by-step explanation:
Pythagorean theorem:
[tex]a^2+b^2 = c^2[/tex]. where a and b are the sides and c is the hypotehnus (the side in front of the 90 degree angle)
[tex]22^2 + b^2 = 25^2\\484 + b^2 = 625\\b^2 = 625-484\\b^2 = 141\\b = \sqrt{141} \\b = 11.9[/tex]
Answer:
11.9
Step-by-step explanation:
This is a right triangle so I can solve this with the pythagorean theorem.
Set up the equation 22²+x²=25² x would be the third side
Simplify, 484+x²=625
Subtract from both sides 484-484+x²=625-484
x²=141
Find the square root of 141 to get x
The square root of 141 is approximately 11.9 rounded to the nearest tenth.
Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box. Carlo puts a total of 3000 tins into the boxes so that number of tins in small boxes : number of tins in large boxes = 2:3 Carlo says that less than 30% of the boxes filled with tins are large boxes. Is Carlo correct? You must show all your working.
Answers
Answer:
No, he is not correct.
Step-by-step explanation:
Check the attachment.
how much would $500 invested at a 4% interest compounded continuosly be worth after 7 years round your answer to the nearest cent
Answers
Answer: F = 661.56
Step-by-step explanation: interest formula: F = Pe^(rt)
F = future value
P = present value = 500
r = interest rate = 0.04
t = years = 7
F = 500e^(0.04 * 7)
Cindy invested $2,800. The function V(t) = 2,800(1.025)t models the value of Cindy’s investment after y months. The function S(t) = 10t models the amount of money that Cindy has saved in a safe at her house after t months. Which function C(t) models the combined value of the investment and money in the safe?
A. C(t) =2,800(1.025)t + 10t
B. C(t) = 2,800(1.025)11t
C. C(t) =(2,800 + 10t)(1.025)t
D. C(t) =2,810(1.025)t
Answers
Answer:
Option AStep-by-step explanation:
The amounts invested and saved are independent and their total is the combined amount.
[tex]C(t) = V(t) + S(t)[/tex][tex]C(t) = 2,800(1.025)^t + 10t[/tex]Correct choice is A
Lets see
V(t)=2800(1.025)^tS(t)=10tAdd both
C(t)=S(t)+V(t)C(t)=2800(1.025)^t+10tA substance requires 310 J of heat to raise the temperature from 19
°C to 42 °C.. If the mass of the substance is 20 g, what is the specific
heat of the substance?
Answers
Answer:
.674 j / (g-C)
Step-by-step explanation:
Spec heat = heat required to raise 1 gram of substance 1 degree celsius
Spec heat units : j / (gm-C)
soooo 310 j / (20g * (42-19)C = .674
Select the correct answer.
A rubber gasket has a circumference of 3.2 cm. When placed in service, it expands by a scale factor of 2. What is the circumference of the gasket when in service?
A.
1.6 cm
B.
3.2 cm
C.
6.4 cm
D.
13.2 cm
Answers
3.2x2=6.4 cm
The required circumference of the gasket after dilation with scale factor 2 is 6.4 cm. Option C is correct.
A rubber gasket with a circumference of 3.2 cm is given. After expansion by scale factor 2 the circumference of the gasket is to be determined.
The circumference is defined as the boundary length of any circular shape.
Here,
Circumference of gasket = 3.2 cm
After dilation with scale factor 2, the circumference became.
Dilated circumference of gasket = 2*3.2 = 6.4 cm
Thus, the required circumference of the gasket after dilation with a scale factor of 2 is 6.4 cm.
Learn more about circumference here:
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INSECT CONTROL Mr. Malone used 40 pounds of insecticide to cover 1,760 square feet of lawn and 60 pounds to cover an additional 2,640 square feet. How many pounds of insecticide would Mr. Malone need to cover his whole lawn of 4,480 square feet
Answers
Answer:
101.8 lb
Step-by-step explanation:
1760 sq ft are covered by 40 lb
4480 sq ft are covered by x
1760/40 = 4480/x
1760x = 40 × 4480
x = 179,200/1760
x = 101.818181...
Answer: 101.8 lb
what is this
please help
Answers
Answer:
The answers are the 2nd box, 4th box, and 5th box.
Simplify: [(13 + 8) ÷ 3] − 4 =
Answers
Answer:
3
Step-by-step explanation:
First you do 13 + 8
13 + 8 = 21
Then you divide by 3
21 divided by 3 is 7
Finally you subtract 4
7 - 4 = 3
Hope this helps!!
Answer:
3
________________________________________________________
SolveWhen doing problems, remember PEMDAS, the order of operations:
parenthesesexponentsmultiplicationdivisionadditionsubtractionGo by the list from top to bottom, and prioritize the higher-up orders first.
Start with 13 + 8
[tex]13 + 8 = 21[/tex]
Next, divide by 3
[tex]21 / 3 = 7[/tex]
Lastly, subtract by 4
[tex]7 - 4 = 3[/tex]
________________________________________________________
Questions?Ask me in the comments box, please.
Analyze the diagram below and answer the question that follows.
What is the value of cosA in the triangle above?
A. cosA = 0.5
B. cosA = 1
C. cosA ≈ 0.707
D. cannot be determined without side lengths
Answers
Answer:
C
Step-by-step explanation:
the cos of an angle of 45° is equal to √2/2~=0,7071
Do you want the full explanation?
Which number is equivalent to 5×10+4×1+8×110+6×1100+1×11,000?
Answers
Answer:
54861/1000 convert to a decimal = 54.861
Juan has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $265.36.
He buys 2 bicycle reflectors for $13.61 each and a pair of bike gloves for $37.11.
He plans to spend some or all of the money he has left to buy new biking outfits for $54.87 each.
What is the greatest number of outfits Juan can buy with the money that's left over?
Answers
Answer:
Juan can buy 6 outfits with the money that's left over.
Step-by-step explanation:
Take $640-$265.36-$13.61-$37.11 and then divide
the answer, $332.92 by $54.87.
Juan spent a total of $316.08 on the bicycle, reflectors, and gloves. With the remaining $323.92, he can buy a maximum of 6 biking outfits priced at $54.87 each.
Given that,
Juan has $640 to spend at a bicycle store for new gear and biking outfits.
He buys a new bicycle for $265.36.
He buys 2 bicycle reflectors for $13.61 each.
He buys a pair of bike gloves for $37.11.
To determine the greatest number of outfits Juan can buy with the money he has left,
Calculate the remaining amount after purchasing the bicycle, reflectors, and gloves.
Juan's initial budget is $640.
After buying the bicycle for $265.36, the remaining amount is,
$640 - $265.36 = $374.64.
Next, he buys 2 bicycle reflectors for $13.61 each, which is a total of
2 x $13.61 = $27.22.
Subtracting this amount from the remaining budget, we have
$374.64 - $27.22 = $347.42.
Additionally, he purchases a pair of bike gloves for $37.11, leaving him with $347.42 - $37.11 = $310.31.
Finally, dividing the remaining budget by the cost of each biking outfit, which is $54.87,
Then Juan can buy a maximum of $310.31 / $54.87 ≈ 6 outfits.
Therefore, the greatest number of biking outfits Juan can buy with the money left over is 6.
To learn more about subtraction visit:
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What is the perimeter of the triangle shown below, if side a = 6 cm and side b = 8 cm?
Answers
Answer:
The answer is 24 cm.
Step-by-step explanation:
Since we know two sides, we can find the third side. Using the pythagorean theorm, a^2 + b^2 = c^2, this gives us:
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
Square root of 100 = c
10 = c.
Hope this helps!
Please Help! I'll give a brainliest!
Tania is a car salesperson at Yorkshire Motors and earns straight commission on sales. She earns 15%commission on sales of vehicles, service contracts, and accessories. During her first year, Tania's sales totaled $454,000.00. How much money did Tania earn in her first year at the dealership?
Tania earned $_____ in commission the first year.
Answers
Answer:
$68100Step-by-step explanation:
Commission = 15% of sales amount
The amount Tania earned is:
$454000*15/100 = $68100Commission is 15% of earnings
Commission:-.
15% of 4540000.15(454000)68100$Complete the table and then graph the function.
y = 5x
Answers
Answer:
Coordinates: (0,0) ; (1,5) ; (2,10)
Step-by-step explanation:
x | y
0 0
1 5
2 10
Coordinates: (0,0) ; (1,5) ; (2,10)
This should be a straight line that is going diagonally with a positive slope.
4+3÷3(67)-5×8
What is the answer
Answers
Select the correct answer.
What is the range of the function shown on the graph?
у
1
6
2-
4
-8
-6
x
х
-2
2
8
-21
64
8
Answers
The range of the function shown on the graph is 20≤y≤60
What is a function?A relation is a function if it has only One y-value for each x-value.
What can go into a function is called the Domain.
What may possibly come out of a function is called the Codomain.
What actually comes out of a function is called the Range.
Range is all the possible values of 'y'.
When we observe the graph, the smallest value of 'y' is 20, where the point is (6, 20), and the largest value of 'y' is 60, where the point is (1, 60).
Therefore, the range of the function shown on the graph is 20≤y≤60
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What is the range of the function in the graph?
. 1≤x≤6
B. 20≤y≤60
C. 20≤x≤60
D. 1≤y≤60
Which of the following would be the most appropriate unit to weigh a single medical pill
A: ton
B: kilogram
C: ounce
D: cup
Answers
This is because
Tons are massive and used to weigh very heavy objects, often in manufacturing and vehicular measurements
Ounces are a member of the imperial system of measurement, which is the least popular used in medicine worldwide
Cups are a measurement of volume, not mass.
The most appropriate unit to weigh a single medical pill is the kilogram.
What is the definition of the unit?In Physics, the term unit directs to the quantity of a constant magnitude, utilized to estimate the magnitudes of other quantities of an identical class.
Tons stand massive and are utilized to weigh very heavy objects, usually in manufacturing and vehicular measures.
Ounces exist as a member of the imperial system of measurement, which stands as the least popular utilized in medicine worldwide.
Cups exist as a measurement of volume, not mass.
Therefore, the correct answer is option B: kilogram.
To learn more about a kilogram
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A cylinder has volume 45 pie and radius 3. What is its height?
Answers
Answer:
5 units
Step-by-step explanation:
The volume of the cylinder is the area of the circle multiplied by it's height. Therefore, the volume of the cylinder is πr² × h, which when simplified, gives us πr²h. Let's substitute the volume and the radius in the formula to find the height.
⇒ πr²h = Volume of cylinder
⇒ (π)(3²)(h) = 45π
Now, simplify the equation to evaluate the area of the cylinder.
⇒ (π)(3²)(h)/(3²)(π) = 45π/(3²)(π)
⇒ (h) = 45π/(9)(π) = 45/(9) = 5 units
Sheila is biking at a constant speed. She travels 54 meters in 9 seconds.
How long in seconds would it take Sheila to travel 90 meters at this speed?
Enter the number in the box.
Answers
WRITE INEQUALITY AND SOLVE• Lamar weighs 250 pounds. If he loses 10 pounds
and then 2 pounds per week after that, how many
weeks will it take him to weigh less than 175 pounds?
Answers
Answer:
40 weeks
Step-by-step explanation:
2 x 40 = 80
240-80=160
so for him to get under 175 it could be 40
i am so sorry if this is inccorect.
Use the calculator for these calculations. Round
your answer to the nearest thousandth, if
necessary:
18*(27 + 36/3)
(21+13/74-18*3)*10=
√3/2=
√281^2-160^2=
2^10-2^9=
√8*√9-7=
Answers
Answer:
the answer is 3.36000 approximated to the nearest thousandth
Answer:
18 x (27 + 36/3) = 378
(21 + 13/74 - 18 x3 ) x 10 = 17
sqrt. 281^2 - 160^2 = 231
2^10 - 2^9 = 512
sqrt. 8 x sqrt. 9 - 7 = 4
Step-by-step explanation:
sorry for being late to answer. these are correct on edge.
Find the area of this figure! (Don’t give me a big explanation, i have 30 mins to get this ixl to 90, currently at 74)
Answers
315 m²
area of rec + area of rec + area of rec + area of triangle
⇒ length + width + length + width + length + width + 1/2 * base * height
⇒ 19 * 6 + 9 * 9 + 18 * 5 + 1/2 * 12 * 5
⇒ 90 + 30 + 81 + 114
⇒ 315 m²
Answer:
315 m²
Step-by-step explanation:
As this figure may seem complicated, we can split it into four separate figures.
Area
Area of vertical rectangle + Area of left horizontal rectangle + Area of right horizontal rectangle + Area of triangle6 x 10 + (9 + 6) x (19 - 10) + 18 x 5 + 1/2 x 12 x (18 + 9 + 6 - 17 - 11)60 + 15 x 9 + 90 + 6 x 560 + 135 + 90 + 30180 + 135315 m²Two person Pratham and Roshan are 64 km apart. If they walk in opposite direction then they will meet in 4 hours and in the same direction they will meet in 16 hours. Find their separate velocity.
Answers
Using the relation between velocity, distance and time, it is found that:
Pratham has a velocity of 10 km/h.Roshan has a velocity of 6 km/h.What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
In opposite directions, the relative velocity is [tex]v = v_1 + v_2[/tex], and the 64 km are run in 4 hours, hence:
[tex]v_1 + v_2 = \frac{64}{4}[/tex]
[tex]v_1 + v_2 = 16[/tex]
[tex]v_1 = 16 - v_2[/tex]
In the same direction, the relative velocity is [tex]v = v_1 - v_2[/tex], and the 64 km are run in 16 hours, hence:
[tex]v_1 - v_2 = \frac{64}{16}[/tex]
[tex]v_1 - v_2 = 4[/tex]
Since [tex]v_1 = 16 - v_2[/tex]:
[tex]16 - v_2 - v_2 = 4[/tex]
2v2 = 12.
v2 = 6.
v1 = 16 - 6 = 10 km/h.
Hence:
Pratham has a velocity of 10 km/h.Roshan has a velocity of 6 km/h.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
4 1/2 - 1 8/10 please
Answers
Answer:
Down below!!
Step-by-step explanation:
Exact Form:
27/10
Decimal Form:
2.7
Mixed Number Form:
2 7/10
Answer:
4 1/2 - 1 8/10 = 2 7/10
Step-by-step explanation:
Step 1 : Start by making the mixed fraction into improper fractions
4 1/2 = 9/2
(For the fraction 1 8/10, make sure to simplify 8/10!)
9/2 - 1 4/5 = 9/2 - 9/5
Step 2: Next find a common denominator for both the improper fractions.
9/2 x 5/5 = 45/10
9/5 x 2/2 = 18/10
45/10 - 18/10 = 27/10
Step 3: Now, make the improper fraction into a mixed number
27/10 = 2 7/10
So this shows us that 4 1/2 - 1 8/10 = 2 7/10! Hope this helps! :D
Data collected from a survey of American teenagers aged 13 to 17
was used to estimate that 29% of teens believe in ghosts. This
estimate was based on data from 510 American teenagers. What is
the population that people carrying out the survey were interested
in?
O All people in the United States.
The 510 teens that were surveyed.
O All American teens who are between the ages of 13 and 17.
o The 29% of the teens surveyed who said they believe in ghosts.
Answers
Using sampling concepts, it is found that the population of interest is given by:
All American teens who are between the ages of 13 and 17.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
For example:I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.
In this problem, a sample of American teenagers aged 13 to 17 was taken, hence all American teenagers aged 13 to 17 is the population of interest.
More can be learned about sampling concepts at https://brainly.com/question/25122507
The graphs below have the same shape. What is the equation of the blue graph? G(x) =
Answers
Because the graph moved to the left by 3
And moved down 2
If you need more explanation I can help
Hope this helps