Answer:
m<C can not be computed
Step-by-step explanation:
m∠A = 50°, c = 25, a = 19, m∠C=?
Using the Sine Law
a/sin m<A = c/sin m<C
Substitute the given values
19/sin50 = 25/sinC
19sinC = 25sin50
19sinC = 19.1511
sinC = 19.1511/19
sinC = 1.0079
C = arcsin1.0079
Hence m<C can not be computed
Find the measure of angle B
A bag contains 3 red marbles and 4 blue marbles. A marble is taken at random from the bag and replaced. Another marble is taken from the bag.
Work out the probability that the two marbles taken from the bag are the same colour.
Give your answer as a fraction.
Answer:
25/49
Step-by-step explanation:
probability of red and red is (3/7)(3/7) = 9/49
Probability of blue and blue is (4/7)(4/7) = 16/49
Probability of same color = prob. of red and red or prob. of blue and blue
= 9/49 + 16/49
= 25/49
The average petrol consumption of a vehicle is 1 gallon per 35 km. The cost of 1 litre of petrol is $49. Fund the cost of petrol for a journey of 280 km.
(take 1 gallon=4.5 litres)
Step-by-step explanation:
Total petrol consumption of the journey=
Total distance travelled ÷ Average petrol consumption
[tex] = 280 \div 35 \\ = 8 \: gallons[/tex]
Given 1 gallon = 4.5 litres,
[tex]8 \: gallons \: = 8 \times 4.5 \\ = 36 \: litres[/tex]
Total cost of petrol for this particular journey = Petrol consumed x cost of 1 litre of petrol
[tex] = 4.5 \times 49 \\ = 220.50 \: dollars[/tex]
simplify
25x-16y-25x+16y
Answer:
Step-by-step explanation:
25x-16y-25x+16y
-16y and 16y cancels out
25x-25x
25x and -25x cancels out too
This means the answer is 0
Tim and Jenna are surveying their classmates about their summer reading. Their questions are given below: Tim: Which author was promoted by the book reading club this month? Jenna: How many books that you read during the summer break would you recommend to your friends? Who wrote a statistical question and why? (1 point)
A. Tim, because there can be only one answer to the question
B. Jenna, because there can be many answers to the question
C. Tim, because there will be variability in the responses collected
D. Jenna, because every student will give the same answer
Answer:
b
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the product of their ages is 675.
write down the equations connecting their ages and solve the equations in order to find the ages of the woman and her son. WAEC
Step-by-step explanation:
Given
[tex]q + p = 2(q - p)[/tex]
as equation 1.
I used q-p as the difference as logically the woman will be older than her son.
Also given,
[tex]qp = 675[/tex]
as equation 2.
Using equation 2,
[tex]q = \frac{675}{p} [/tex]
substitute this equation into equation 1.
[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]
Substitute P into equation 2.
[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]
Therefore the woman is 45 years old while her son is 15 years old.
20 points! Please help me out here!
What is the value of x, given that RS||XY
Answer:
8
Step-by-step explanation:
x/16 = 6/12
cross multiply
12x=6*16
12x=96
divided by 12
x=8
I answered the question 3x-y=5 but is there a different way to answer this?
My answer:
I switched the y with the 3x
3x=y+5
Then I subtracted by 5
y=3x-5
Step-by-step explanation:
Hi,
I agree with what you did. You could also add y on both sides and get 3x = y + 5 and then divided by three to get...
x = 5 + y /3
(the 5 and y are being divided by 3)
But that's just complicated, it works, but it's complicated. What you did is correct and what I gave you is the value of x, but I'm 100 percent sure yours is correct.
Hope this helps
Answer and Step-by-step explanation:
Yes (technically), there is a different way to answer the equation 3x - y = 5. But, the first part of how you described it is a bit off.
Here is how you would explain it:
What you would do is Add y to both sides, then subtract 5 from both sides.
3x = y + 5
3x - 5 = y (aka y = 3x - 5)
The other way to solve:
3x - y = 5
Subtract 3x from both sides.
-y = -3x + 5
Now divide both sides by -1.
-1(-y) = -1(-3x + 5)
y = 3x - 5
If you want to solve for x, you would:
Add y to both sides of the equation.
3x = 5 + y
Then divide each side by 3.
x = [tex]\frac{1}{3}y[/tex] + [tex]\frac{5}{3}[/tex]
#teamtrees #PAW (Plant And Water)
please help 100 points to whoever gets it right
Answer:
i think its D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A traffic consultant wants to estimate the true proportion of cars on a certain street that have more than two occupants. She stands at the side of the road for two hours on a weekday afternoon and flips a coin each time a car approaches. If the coin comes up heads, she counts the number of occupants in the car. After two hours, she has counted 103 cars, 15 of which had more than two occupants. Which condition for constructing a confidence interval for a proportion has she failed to satisfy
Answer:
The data is a simple random sample from the population of interest.
Step-by-step explanation:
Conditions necessary to consider when constructing a confidence interval include using a large sample size, which should be greater Than or equal to 30 for n and a sample proportion of np ≤ 10. Importantly the sample must be a random sample drawn from the population, meaning that all the population of interest must have equal chances of being a part of the sample data. However, the scenariomabiveb, violates this condition as the sampling design is not completely randomized. Those who do not ply the route on that certain day have no Chaves of being part of the sample.
The curved part of this figure is a semicircle.
What is the best approximation for the area of this figure?
10.5+7.25π units²
21+7.25π units²
10.5+14.5π units²
21+14.5π units²
Answer:
Step-by-step explanation:
Draw the diameter from point (-1, -5) to point (2, 3).
The triangle has base 3 and height 8.
The diameter of the semicircle is the hypotenuse of the triangle.
The radius is half the diameter.
The total area is the area of the triangle plus the area of the semicircle.
Answer:
A) 10.5+7.25[tex]\pi[/tex]units²
Step-by-step explanation:
This can be divided into a semicircle and a right triangle.
The area of the right triangle is (1/2)(7)(3)= 10.5
the radius of the semicircle is
[tex]d=\sqrt{7^{2} +3^{2} } )=\sqrt{(49+9)} =\sqrt{58}[/tex]
[tex]r=(1/2)(\sqrt{58}[/tex]
[tex]A=(1/2\pi (1/2)(\sqrt{58)^{2} }[/tex]
[tex]A=58\pi /8[/tex]
[tex]A=7.25\pi[/tex]
[tex]---------[/tex]
hope it helps..
have a great day!!
one can of waterproofer covers 100 square feet. you want to apply two coats of waterproofer to the wooden crates. How many cans of waterproofer do you need?
Answer:
Hello! its 1
Step-by-step explanation:
Write an equivalent expression.
−2(7+6g)
Choose the correct answer below.
A.
−2(7+6g)=6g−14
B.
−2(7+6g)=−2−12g
C.
−2(7+6g)=−14+6g
D.
−2(7+6g)=−14−12
please help lol
10,20,40,80... find the common ratio for the geometric sequence
Answer:
2
Step-by-step explanation:
So the common ratio is simply what a number can be multiplyied by. To find this, all we have to do is see how many times one number goes into the one after it.
So lets take the 20(2nd number), lets divide it by 10(1st number). What do we get when we divide the numbers? We get 2. since 10 goes into 20, 2 times.
Lets see if the common ratio 2 checks out for the other numbers. What is 80(4th number) divided by 40(3rd number)? Well again, thats 2. Since 40 goes into 80, 2 times.
So, we can conclude that the answer is 2.
Answer:
I think the common ratio is 20
Step-by-step explanation:
Each number is 20 times the previous number, so the Common Ratio would have to be 10
Jayla, Keisha and Melanie are sisters. Keisha is 3 years older than Jayla. Melanie is 3 years older than Keisha. If you add their ages together, you get 42.
1. Write an equation or draw a picture to represent this scenario.
2. How old are the sisters? How do you know?
The angle of elevation from a car to a tower is 32 degree. The tower is 150 ft. tall. How far is the car from the tower? Round to the nearest tenth.
Answer:
240.1 ft (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
Find the area of the following shapes
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
The model shows 4 = 2x - 2 What value of x makes the equation true?
Answer:
You showed no model. However, looking at this equation it seems the answer would be x=3.
Step-by-step explanation:
Add 2 to both sides which leaves you with 6=2x and then divide both sides by 2 to get x=3.
If a calculator is sold for R120.00. What will the new price of a calculator be if the
original selling price is Increased in a ratio of 5:3
Answer:
300
Step-by-step explanation:
5/3=120/x
300
The new selling price of the calculator will be R200.00.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, If a calculator is sold for R120.00.
Now, The original selling price is increased by a ratio 5 : 3, which can also be written as 5/3.
Therefore, The new selling price of the calculator will be,
= (5/3)×12000.
= 5×4000.
= 20000.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ5
How do you find the h variable? 3ℎ+7=19
Answer:
h=4
Step-by-step explanation:
Subrtract 7, giving you 12.
Then divide by 3 to isolate h. Giving you 4.
I need help, please! ASAP.
Answer:
Formula for percent change is C = {x_2 - x_1}/{x_1}
C = relative change
x_1 = initial value
x_2 = final value
Step-by-step explanation:
Answer:
<_> daddy
Step-by-step explanation:
A cruise ship can cover 17 nautical miles in 391 minutes. How many nautical miles will it travel in 230 minutes?
A. 10
B. 12
C. 14
D. 8
Max has sticks of lengths 6, 7, 8, and 10 inches. He wants to make a right triangle for an art project. Which 3 sticks should he use? 6 in., 7 in., and 8 in. 6 in., 7 in., and 10 in. 6 in., 8 in., and 10 in. 7 in., 8 in., and 10 in.
Answer:
6in, 8in and 10in
Step-by-step explanation:
For a right angled triangle :
The hypotenus, thee longest side in The triangle should be :
Hypotenus = sqrt((opposite² + adjacent²))
The most appropriate from the option would be :
6in, 8in and 10in
Hypotenus = sqrt((6² + 8²))
Hypotenus = sqrt(36 + 64)
Hypotenus = sqrt(100)
Hypotenus = 10
Answer:
C. 6 in., 8 in., and 10 in.
Step-by-step explanation:
Just did it on edge
Anyone help ?? Sorry please
Answer:
All the points in the scatter plot are written as (x, y)
Where x is the value in the horizontal axis (in this case the weight)
and y is the value in the vertical axis (in this case, the number of seeds)
We want to know the weight of 100 seeds.
We know that the number of seeds is represented in the vertical axis.
Then, first let's look at the vertical axis and find the value 100.
Now let's move horizontally the right until we meet the point.
Once we meet the point, let's move vertically to the horizontal axis, and see in which value we intersect the axis.
If we do that, we can see that we will intersect the x-axis at the value x = 5.
And this axis represents the weight in kg, then the weight of 100 seeds is 5kg.
Find the volume of a pyramid with a square base with a perimeter of the base is 5.7 cm in the height of the pyramid is 8.6 
Answer:
try 28.4 inches to the 3rd power
Step-by-step explanation:
Part A
Juanita has an aquarium that is 5 feet long, 4 feet wide, and 2 feet deep.
What is the volume of the aquarium? Enter your answer in the box.
_______ft3
Part B
Juanita fills the tank with water so that it is 1 foot deep. What is the volume of the water?
_______ft3
Answer:
Part A: 40 cubic feet. Part B: 20 cubic feet
Step-by-step explanation:
Part A: 5×4×2 = 40 feet3
Part B: 5×4×1 = 20 feet3
The sales tax on clothing in Louisiana is 4% . Calculate how much tax you need to pay on a dress if it costs $19.50 before before tax. Round your answer to the nearest cent.
Answer:
.78 cents
Step-by-step explanation:
To find the tax amount on any number, divide that number by 100 and then multiple it by the tax percentage.
In this case that would look like: $19.50/100 times 4 =.78
10) On Tuesday Imani bought eight hats. On
Wednesday half of all the hats that she had
were destroyed. On Thursday there were
only 21 left. How many did she have on
Monday?
what letter does it match?
Answer:
B. Slope-intercept form is y = mx + b. M is slope, so it would be the one right in front of x which is -3 :)