Answer:
£2,120.00
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year.
Solving our equation:
A = 2000(1 + (0.03 × 2)) = 2120
A = $2,120.00
The total amount accrued, principal plus interest, from simple interest on a principal of £2,000.00 at a rate of 3% per year for 2 years is £2,120.00.
What is the solution to the equation 4 + 3sqrt 2y = 6
Answer:
the answer it's not correct because you have to put the 6x
Step-by-step explanation:
if you do not put an x after you put the number it would you would get it wrong
find the area of the figure. please help my teacher is waiting.......
Answer:
The area of the shape is 89m²
Step-by-step explanation:
You need to subtract the area of the empty triangle from the area of the rectangle.
The rectangle's area is 13m × 8m = 104m²
The triangle's area is (6m × (13 - 8)m) / 2 = (6 × 5) / 2 m² = 15m²
Subtract the triangle's area from the rectangle:
104m² - 15m²
= 89m²
Please help me will give Brain
Step-by-step explanation:
y=42
x=90
Since the triangle has the hypotenuse as the diameter of the circle, the angle opposite the hypotenuse which is x is equal to 90 degrees.
Whenever there is a triangle with the corner of the triangle touching the side of the triangle, the distance between the two legs of the triangle on the circle is 2 times the angle of the corner that is touching. So 21(2)=42
Hope this helps :)
I dont know how to do this pls help me
Answer:
x = 36
Step-by-step explanation:
x/48 = 48/64
64x = 2304
x = 36
PLEASE HELP Vance is buying a new car for $23,084. If he is
trading in his old car for $9,567 to go towards
his new car, how much will he need to pay
for his new car?
Answer:
23,084-9,567= 13,517 so he will have to pay $13,517
Find the value of x. Please help :(
Answer:
x = 65
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
80+30+70=180, so 70+x = 90 so x =20
At approximately what value of x do the two lines meet?
Answer:
x = 3
Step-by-step explanation:
The 2 lines intersect at (3, - 2 ) with x = 3
Draw a line say ab take point c out of it through c draw a line parellel to ab using compass and ruler only
Answer:
give me brainliest
Given a line AB with Point C outside it.
Mark point D on the line AB. Join CD
With D as center, and any radius, draw an arc intersecting AB at E, and CD at F.
With C as center, and same radius as before, draw an arc intersecting CD at G.
Open a compass to length EF
Now,with G as center, and compass opened the same radius as before, draw an arc intersecting the previous arc at H.
Draw a line m passing through C and H.
Thus m is the line parallel to AB, and passing through point C
∴m∣∣AB
Step-by-step explanation:
cos ( α ) = 11/8 and sin ( β ) = √ 7/5 . Find cos ( α + β )
Answer:
[tex]\displaystyle \cos(\alpha+\beta)=\frac{3\sqrt{22}-\sqrt{371}}{40}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos(\alpha)=\frac{\sqrt{11}}{8}\text{ and } \sin(\beta)=\frac{\sqrt7}{5}[/tex]
Where both α and β are in QI.
And we want to find cos(α + β).
First, let's determine the side lengths for each angle.
For α, we are given that its cosine is √(11)/8.
And since cosine is the ratio of the adjacent side to the hypotenuse, the adjacent side to α is √11 and the hypotenuse is 8.
Therefore, the opposite side will be:
[tex]o=\sqrt{8^2-(\sqrt{11})^2}=\sqrt{53}[/tex]
Hence, for α, the adjacent side is √11, the opposite side is √53, and the hypotenuse is 8.
Likewise, for β, we are given that its sine is √7/5.
And since sine is the ratio of the opposite side to the hypotenuse, the adjacent side of β is:
[tex]a=\sqrt{5^2-(\sqrt{7})^2}=\sqrt{18}=3\sqrt{2}[/tex]
In summary:
For α, the adjacent is √11, the opposite is √53, and the hypotenuse is 8.
For β, the adjacent is 3√2, the opposite is √7, and the hypotenuse is 5.
Using an angle addition identity, we can rewrite our expression as:
[tex]\cos(\alpha+\beta)=\cos(\alpha)\cos(\beta)-\sin(\alpha)\sin(\beta)[/tex]
And since both α and β are in QI, all trig ratios will be positive.
Using the above information, we can substitute in the following values:
[tex]\displaystyle \cos(\alpha +\beta)=\Big(\frac{\sqrt{11}}{8}\Big)\Big(\frac{3\sqrt2}{5}\Big)-\Big(\frac{\sqrt{53}}{8}\Big)\Big(\frac{\sqrt7}{5}\Big)[/tex]
Finally, simplify:
[tex]\displaystyle \cos(\alpha +\beta)=\frac{3\sqrt{22}}{40}-\frac{\sqrt{371}}{40}=\frac{3\sqrt{22}-\sqrt{371}}{40}\approx -0.1298[/tex]
Help me please will mark
Answer:
1. A = 64 cm²
2. A = 240 yd²
3. A = 220.5 cm²
4. A = 193.4 m²
Step-by-step explanation:
1. We want to split this figure into two rectangles. We know the top figure is a rectangle because a rectangle has four right angles. For the bottom rectangle, because the sides are all perpendicular, all of the angles are also right angles.
Because they're rectangles, opposite sides are congruent. So now you can find the measures of the sides.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
2. We want to split this figure into a triangle and a rectangle.
Because the bottom figure has four right angles, we know that it's a rectangle. Therefore, its side measures are 24, 24, 8, and 8 because opposite sides of a rectangle are congruent.
For the triangle, because the sum of the triangle's base and two other segments is 24, we can use 24 - (6 + 6) = base. So the triangle base is 12.
Do this same thing to find the height of the triangle.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
3. We want to split this figure into a triangle and semicircle.
We're already given that the height is 15 and part of the base is 8, but there is no way to assume that the other part of the base is also 8. Remember, it's not to scale.
We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent, so the two radii present are both 8.
Because of Reflexive Property, the other part of the triangle base is now proven to also be 8.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
4. We want to split this figure into a rectangle and semicircle.
For the rectangle, because the sides are all perpendicular, all of the angles are also right angles. So we can prove that it is a rectangle.
Because this is a rectangle, opposite sides are congruent. So we have the sides of 15, 7, 15, and 7.
We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent.
Because of Reflexive Property, we know that the diameter of the circle is 15. The radius is half the diameter, meaning all radii are 1/2 (15), or 7.5.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
When you subtract a positive number from a negative number the difference is always
negative.
ex: p-nun
True False
The answer is true.
(+)(+)= +
(-)(-)= +
(-)(+)= -
A rectangular block is 16cm long, 12cm broad and 5cm high. find its total surface area and volume
Answer:
volume is l×b×h.
thats 16*12*5 that is 960cm cubed.
total surface area is 2(l×b+b×h+h×l).
that's 2(16×12+12×5+16×5).
664 cm squared .
Answer:
surface area=2(lb+bh+hl)
surface area=2(16×12+12×5+5×16)
surface area=664cm²
volume = 16cm×12cm×5cm
volume= 960cm³
Item 9 Find the surface area of the cone with diameter d and slant height l. Round to the nearest tenth. d=12 cm l=85mm
Answer: [tex]160.28\ cm^2[/tex]
Step-by-step explanation:
Given
diameter of cone [tex]d=12\ cm[/tex]
radius is [tex]r=\frac{d}{2}=6\ cm[/tex]
The slant height of the cone [tex]l=85\ mm\approx 8.5\ cm[/tex]
The surface area of a cone is
[tex]\Rightarrow A=\pi rl[/tex]
Substitute the value
[tex]\Rightarrow A=\frac{22}{7}\times 6\times 8.5=160.28\ cm^2[/tex]
What value from the set { 1/2, 1/4, 6/4, 10/3 } is a value of x that will make the equation 3/5 ÷ x = 12/5 true?
Answer:
1/4
Step-by-step explanation:
[tex] \frac{3}5 \div x = \frac{12}{5} \\ \\ \frac{3}{5 } \times \frac{1}{x} = \frac{12}{5} \\ \\ \frac{3}{5x} = \frac{12}{5} \\ \\ x = \frac{3 \times 5}{12 \times 5} \\ \\ x = \frac{1}{4} [/tex]
The cost of levelling a rectangular field at
50 per square metre is 30,000. If its length
and breadth are in the ratio of 3: 2, then find
its perimeter. pls help
Answer:
The perimeter of a rectangular field is 100 meters
Step-by-step explanation:
The given data of the rectangular field are;
The unit cost of levelling the rectangular field, U[tex]_c[/tex] = 50/m²
The total cost of levelling the field, T[tex]_c[/tex] = 30,000
The length to breadth ratio of the field, L:B = 3:2
Where;
L = The length of the field
B= The breadth of the field
From the given data of the field, we have;
The area of the field, A = T[tex]_c[/tex]/U[tex]_c[/tex]
∴ A = 30,000/(50/m²) = 600 m²
The area of the field, A = 600 m²
The formula for the area of a rectangle, A = Length, L × Breadth, B
A = L × B
We are given that the length to breadth ratio of the field, L:B = 3:2
∴ L/B = 3/2
L = (3/2) × B
The area of the rectangular field, A = L × B
∴ The area of the rectangular field, A = (3/2) × B × B = (3/2) × B²
A = (3/2) × B²
From the calculation for the cost of levelling the field, we have, A = 600 m²
∴ A = (3/2) × B²
A = 600 m²
By transitive property, we have;
(3/2) × B² = 600 m²
B² = (2/3) × 600 m² = 400 m²
B = √(400 m²) = 20 m
The breadth of the field, B = 20 m
From L = (3/2) × B, we have;
L = (3/2) × B
∴ L = (3/2) × 20 m = 30 m
∴ The length of the field, L = 30 m
The perimeter, 'P', of a rectangle given the length, 'L' and breadth, 'B', is given as follows;
The perimeter of a rectangle, P = 2·L + 2·B
Therefore, for the rectangular field, we have;
P = 2 × 30 m + 2 × 20 m = 60 m + 40 m = 100 m
The perimeter of a rectangular field, P = 100 m.
Please Help!! Brainliest Answer! Thank you!
Answer:
x=4.5
Step-by-step explanation:
The sum of all the angles in a square=360°
20(4.5)=90
90×4=360
1. Use the distributive property to write an expression that is equivalent to 12+4x.
3. Larry randomly surveyed students in his school as to what the new school mascot should be. The results are shown in the table below.
(a) Which survey might be biased? Explain your answer.
(b) Which mascot seems to be the winner? Why do you think that?
(c) Using only information from the unbiased survey, approximately what percent of students choose Wildcats for the new mascot?
(d) If there was 800 students in Larry’s school, approximately how many students in the school could he claim would vote for Mustangs? Round to the nearest whole number if necessary.
find the number such that three times the sum of two and a number is three less than four times the number
Answer:
9
Step-by-step explanation:
let the number be n then 3 times the sum of 2 and the number is
3(n + 2) = 4n - 3 ( 3 less than 4 times the number )
3n + 6 = 4n - 3 ( subtract 3n from both sides )
6 = n - 3 ( add 3 to both sides )
9 = n
That is the number is 9
The ratio of students to parents is 1:4 respectively. If the
total number of people is 50, how many students are
there?
Answer:
10 studentsStep-by-step explanation:
Let the number of students is x, then the number of parents is 4x
Total number of people is 50:
x + 4x = 50Solve for x:
5x = 50x = 10There are 10 students
Answer:
10 students
Step-by-step explanation:
First find the sum of the ratio:
1 + 4 = 5
Number of students = [tex]\frac{number in ratio}{sum of ratio}[/tex] × total
= [tex]\frac{1}{5}[/tex] × 50
= 10
∴ 10 out of 50 are students.
( The rest are parents; 50-10=40parents )
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
55 lbs of $0.40 and 45 lbs of $1.40
Step-by-step explanation:
Let's say that we have two buckets, one that weighs x pounds and the candies in it are $0.40 per pound and another that weighs 100-x pounds (because we know the two added together must be 100 pounds) and the candies in it are $1.40 per pound.
There is a third bucket that is made when you combine the two, it weighs 100 pounds and the candies in it are $0.85. Multiply the cents per pound by the pounds of the candy for each bucket and you get this equation:
0.4 * x + 1.4 (100-x) = 0.85 * 100
Solve!
0.4x + 140 - 1.4x = 85
-x + 140 = 85
-x = -55
x = 55
From this we get that 100 - x = 45.
So, the answer is 55 lbs of $0.40 and 45 lbs of $1.40
A smoothie recipe calls for 3 cups of milk, 2 frozen bananas and 1 tablespoon of chocolate syrup. Create a ratio table that lists the ingredients for 1, 2, 4 & 10 smoothies.
Please help I will give brainliest
Answer:
The ratio of milk to chocolate syrup is 3 to 1.
There are 2 tablespoons of chocolate syrup to 6 cups of milk.
There are 4 tablespoons of chocolate syrup to 8 frozen bananas to 12 cups of milk
Step-by-step explanation:
Answer:
3 cups of milk =2 frozen banana and 1 tablespoon of chocolate syrup
1 cups of milk =2:3frozen banana and 1:3 tablespoon of chocolate syrup
2cups of milk =2*2/3=4:3 frozen banana and 1*2/3=2:3 tablespoon of chocolate syrup
4cups of milk =2*4/3=8:3 frozen banana and 1*4/3=4:3tablespoon of chocolate syrup
10cups of milk =10*2/3=5:3frozen banana and 1*10/3=10:3tablespoon of chocolate syrup
Which of the following tables represents a linear relationship between x and y?
Answer:
The 4th one is linear
Step-by-step explanation:
None of the other ones are linear. trust me
-3(n + 4)= 9 what solution is n
Answer:
-7
Step-by-step explanation:
[tex] - 3(n + 4) = 9 \\ \\ - 3n - 12 = 9 \\ \\ - 3n = 12 + 9 \\ \\ - 3n = 21 \\ \\ n = \frac{ - 21}{3} \\ \\ n = - 7[/tex]
Write as a unit rate
12 inches of rain in 6 hours
A computer can be bought on Hire
Purchase with a down-payment of
$ 1600 and 12 monthly installments of $ 500. If the cash price on the computer is $ 5600, how much more than the cash price is the Hire Purchase price?
A) $60
B) $760
C) $1600
D) $2000
Is these correct bro
Answer:
yes
Step-by-step explanation:
if my eyes are good then yes
please help i need the answer asap :) !!
Answer:
6^(2/3)
Step-by-step explanation:
exponent fraction rule
Answer:
the first one, 6^2/3
Step-by-step explanation:
GIVING BRAINIEST
Which of the following is an example of DESCEND?
A. a car traveling through a tunnel
B. a hiker climbing a mountain
C. a plane landing at the airport
D. a submarine climbing to the surface of the ocean
Answer:
D because you going up to the surface
Answer:
its c
Step-by-step explanation:
Calculate the PERIODIC interest rate for a $10,000 loan
compounded semi-annually at a rate of 14%.