Answer:
Original value of investment = £500 (Approx.)
Step-by-step explanation:
Given:
Rate per year = 4%
Number of year = 3 years
Value of investment after 3 year = £562.43
Find:
Original value of investment
Computation:
A = P[1+r]ⁿ
562.43 = P[1+4%]³
562.43 = P[1+0.04]³
562.43 = P[1.04]³
562.43 = P[1.1248]
Original value of investment = 562.43 / 1.1248
Original value of investment = 500.026
Original value of investment = £500 (Approx.)
Is this triangle congruent by
SAS
SSS
ASA
HL
HA
LL
LA
Not enough information
Answer:
SAS
Step-by-step explanation:
Tell whether the angles are complementary, supplementary, or neither
Answer:
neither
Step-by-step explanation:
43 + 57 = 100
Complementary angles: sum of measures = 90 deg
Supplementary angles: sum of measures = 180 deg
This question: sum of measures = 100 deg
Answer: neither
Answer:
Neither
Step-by-step explanation:
Supplementary angles are angles that have a common side and together have a value of 180 degrees.
Complementary angles are angles that together have a value of 90 degrees.
These angles do not add up to 180 degrees, and do not have a common side, so they are not supplementary. These angles do not add up to 90 degrees, so they are not complementary.
40:√100 + √9.√36
????
Answer:
28
Step-by-step explanation:
[tex]\sqrt{100} + (\sqrt{9} \cdot \sqrt{36}) = 10 + (3 \cdot 6) = 10 + 18 = 28[/tex]
i need help!! im struggling with this question
Answer:
1 gallon : 25.6 miles
Step-by-step explanation:
So, the way we can find the rate, or ratio between 2 units is to divide one unit by the other unit.
So basically, we see the first set of units is:
2 gallons - 51.2 miles
So basically, for every 2 gallons, there are 51.2 miles.
To find the ratio, or rate, we must find the miles per gallon.
We can do that by dividing both sides by 2:(g=gallons, m=miles)
2g/2=51.2/2m
=
g=25.6
So for every gallon, there is 25.6 miles.
We can write this as:
1 : 25.6
Hope this helps!
Answer:
25.6
Step-by-step explanation:
51.2/2=25.6
What slope does a horizontal line have? Use a number to fill in the blank
help me out please <3
ANSWER is Option C
Use 2πr = 2×3.14×6 = 37.68 inches
Formula for the circumference of a circle: C = pi * Diameter
We are given the diameter, 12 inches, so all we have to do is plug in our values.
C = 3.14 * 12
C = 37.68 inches
Hope this helps!! :)
I need the answer Immediately before it’s due!!!!!!!!
PLEASE HELP what is the area of this?
B. 5 in
5 in
14 in
3 in 1 3 in
14 in
5 in
5 in
A rectangle with a width of 9 ft. and a length of 13 ft. is the base of a 30 ft. tall pyramid. What is the volume of the pyramid? O 1.170 cubic feet 3,510 cubic feet O 117 cubic feet 390 cubic feet
Answer:
the answer is 1170 cubic feet
Step-by-step explanation:
all you have to do is multiply the length times the width times the height and divide it by three then you will get your answer if this helped you should mark this the brainliest!!
Q10
A group of students were asked to name their favourite burger.
The pictogram shows the results.
The key is missing.
Chicken
Beef
Turkey
Veggie
40 students said Veggie.
How many students said Chicken?
Answer:
Step-by-step explanation:
Jara quiere fabricar un cohete con cartulina. Para ello ha construido un cilindro de 0,25 metros de radio y medio metro de altura y un cono con el mismo radio y la mitad de la altura. ¿Que volumen ocupa su cohete? Ayudaaa
Respuesta:
0,114 m³
Explicación:
El volumen del cohete será igual a la suma de los volumenes del cilindro y del cono
Volumen del cilindro
El cilindro tiene un radio (r) de 0,25 m y una altura (h) de 0,5 m. Podemos encontrar su volumen usando la siguiente formula.
Vcil = π × r² × h
Vcil = π × (0,25 m)² × 0,5 m = 0,098 m³
Volumen del cono
El cono tiene un radio (r) de 0,25 m y una altura (h) de 0,25 m (la mitad de 0,5 m). Podemos encontrar su volumen usando la siguiente formula.
Vcono = 1/3 × π × r² × h
Vcono = 1/3 × π × (0,25 m)² × 0,25 m = 0,016 m³
Volumen del cohete
Vcohete = Vcil + Vcono = 0,098 m³ + 0,016 m³ = 0,114 m³
Please help with this question!!
I will give BRAINIEST to whoever gives the best answer
Answer:
C.155
Step-by-step explanation:
CALCULATE IT ITS MA ANSWER
Helppppppp meeeeeee I don’t understanddddd
Answer:
DF = 9.5
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
DE × DF = DC × DB
5(5 + x) = 5(5 + 4.5) ← divide both sides by 5
5 + x = 5 + 4.5
5 + x = 9.5 ( subtract 5 from both sides )
x = 4.5
Then
DF = DE + EF = 5 + 4.5 = 9.5
A teacher asked four students to estimate the length of a grain of rice. Jack answered 4.5 x 10^-3 kilometer, Lilly answered 4.5 x 10^-3meter, Diego answered 4.5 x 10^-3vcentimeter, and Willa answered 4.5 x 10^-3 millimeter. Who gave the best answer
Answer:
Lilly
Step-by-step explanation:
According to the literature, the length of a medium grain rice is between 5.3 and 5.9 mm. Let's take the average (5.6 mm) and convert it to meters to compare it with the estimations. We will use the conversion factor 1 m = 1000 mm.
5.6 mm × 1 m/1000 mm = 5.6 × 10⁻³ m
Jack answered 4.5 × 10⁻³ kilometers. We will convert it to meters using the conversion factor 1 km = 1000 m.
4.5 × 10⁻³ km × 1000 m/1 km = 4.5 m
Lilly answered 4.5 × 10⁻³ meters.
Diego answered 4.5 × 10⁻³ centimeters. We will convert it to meters using the conversion factor 1 m = 100 cm.
4.5 × 10⁻³ cm × 1 m/100 cm = 4.5 × 10⁻⁵ m
Willa answered 4.5 × 10⁻³ millimeters. We will convert it to meters using the conversion factor 1 m = 1000 mm.
4.5 × 10⁻³ mm × 1 m/1000 mm = 4.5 × 10⁻⁶ m
As we can see, Lilly gave the best answer (same order of magnitude).
Please help!
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x=36°
the sine rule enables us to find missing angles and sides when given an angleand 2 known sides
Please help me, this is like the easiest thing but I'm stuck
Answer: A. 384 sq. mm
Step-by-step explanation: The area for the square is 12x12 or 144. The area for a triangle is base x height x 1/2. Therefore, that would be 12 x 10 x 1/2 or 60. There are 4 sides to this pyramid, so 60 x 4 = 240. We then add 144 and 240 to get 384 sq. mm.
HELPPP 7TH GRADE MATH PLEASE HELP I UPLOADED A PHOTO
Answer:
You have to first figure out how many different possibilities there are, here there are 10. And they're asking for the chance that one option will be chosen
Therefore it is 1/10
I'm new to the app, hope that helped
∠A and angle ∠B are vertical angles. If m∠ A=(2x-4) and ∠B = (x+1), then find the value of x
Answer:
x = 5
Step-by-step explanation:
vertical angles are equal so we can write this equation:
2x-4 = x+1
x - 4 = 1
x = 5
How do you find the area of a cone?
Surface area of cone = πr(r+√(h2+r2))
where r is the radius of the circular base
h is the height of coneOr
Surface area of cone =πr(r+L)
where L is the slant height of the cone
Answer:
The formula for the area of a cone is 3.14 times the radius times the side
Step-by-step explanation:
y = x - 5
x + y = -1
Answer:
x = 2
y = -3
Step-by-step explanation:
y = x-5
y = -x-1
2x -4 = 0
2x = 4
x =2
y = 2-5
y = -3
solve the inequality 28<6x-2
Answer:
5 < x
Step-by-step explanation:
28<6x-2
Add 2 to each side
28+2<6x-2+2
30 < 6x
Divide each side by 6
30/6 < 6x/6
5 < x
Answer:
5 < x OR x > 5
same thing just reversed
Step-by-step explanation:
28 < 6x - 2
28+2 < 6x (- 2 + 2)
30 < 6x
30/6 < 6x/6
5 < x
Which number is greater than 555,621,000?
A. 5.0 x 10
B. 6.2 x 10
C. 5.55621 x 10
D. 9.99 x 10
Answer:
D
Step-by-step explanation:
im smart.
Jay pays $2.45 for 4 magazines. He later pays $3.75 for 6 magazines. Is the price proportional to the number of magazines? Explain
Answer:
No, It is not.
Step-by-step explanation:
Step 1: Divide the 2.45 by 4 (We are doing this to find the difference between them so we can find out what to do next.)
[tex]2.45 \div 4\\\\= 0.6125[/tex]
Step 2: Multiply 0.6125 to 6 (Now, that we've found what 1 magazine cost according to the first data, we are multiplying it by 6 because if you multiply that to 4 the answer will be 2.45. So, if we multiply 6, it will show us if they are both proportional, the same.)
[tex]0.6125 \times 6\\\\= 3.675[/tex]
Therefore, these two prices are not proportional.
what is 5¹? and just what does ¹ mean? like whats the formula for the equation?
Answer:the answer is 5 it means you mutiply five that many times
Step-by-step explanation:
Answer:
5¹=5
5¹ means that you multiply 5 by itself 1 times
Rewrite 7 x 7 x 7 x 7 x 7 using an exponent math
Answer:
7^5 (7 to the fifth power)
Step-by-step explanation:
those sevens can be represented by 7^5 because there are five sevens to multiply together
you can check the answer by doing 7 x 7 x 7 x 7 x 7=16807
and making sure that 7^5 is also equal to 16807, which it is.
Hope this helps! :)
PLS HELP
AND PLEASE EXPLAIN
Answer:
x=6, y=5 1/3 or 5.3333
Step-by-step explanation:
Help please I don't understand.
===========================================================
Explanation:
If XY is tangent to the circle, then the radius ZX would be perpendicular to the tangent XY. In other words, the angle YXZ would be 90 degrees.
Furthermore, it means triangle WXY would be a right triangle.
Effectively, we need to find out if triangle WXY is a right triangle.
Recall that we can use the converse of the pythagorean theorem to find out if a triangle is a right triangle or not.
We have these side lengths of the triangle:
XY = 9.6WX = WZ+ZW = 6.4+6.4 = 12.8YW = 16Let's say a = 9.6, b = 12.8 and c = 16
The order of 'a' and b doesn't matter. All that matters is that c is the longest side.
Plug those values into the pythagorean theorem and simplify each side.
a^2+b^2 = c^2
(9.6)^2 + (12.8)^2 = (16)^2
92.16 + 163.84 = 256
256 = 256
We end up with a true equation, so the first equation is true for those a,b,c values. Hence, we have shown that the triangle is a right triangle, and this concludes that XY is indeed tangent to the circle.
Find the value for the given variables. Give the variables in simplest radical form. (as a square root)
Answer:
Step-by-step explanation:
for y
take 45 degree as reference angle
using cos rule
cos 45=adjacent/hypotenuse
1/[tex]\sqrt{2}[/tex]=10/y
y=10[tex]\sqrt{2}[/tex]
for x
take 45 degree as reference angle
using sin rule
sin 45=opposite/hypotenuse
1/[tex]\sqrt{2}[/tex]=x/10[tex]\sqrt{2}[/tex]
x[tex]\sqrt{2}[/tex]=10[tex]\sqrt{2}[/tex]
x=10[tex]\sqrt{2}[/tex]/[tex]\sqrt{2}[/tex]
x=10
what is the 25% of 500
Answer:
20
Step-by-step explanation:
125
Step-by-step explanation:
25% of 500
25÷100
multiplied by 500
=125
Hank is putting jelly candies into two containers one container is a cylindrical Jar with a height of 33.3 cm and a diameter of 8 cm the other container is spherical pink determines that the candies are selling cylindrical In shape and that each candy has a height of 2 cm and a diameter of 1.5 cm he also determines that air will take up 20% of volume of the containers the rest of the Space will be taken up by the candies after Hank Phils the cylindrical Candies what will be the volume in cubic centimeters of the air in the cylindrical Candies what will be the volume in cubic centimeters of the air in the cylindrical Jar
Answer:
334.60 but if rounding to nearest whole number its 335
The volume of air in cylindrical jar is 334.60 [tex]cm^{3}[/tex].
What is the volume of cylinder?The formula to calculate volume of a cylinder is given by the product of base area and its height.
Given
Height = 33.3 cm
Diameter = 8 cm
Radius = [tex]\frac{Diameter}{2}[/tex] = 4 cm
The volume of cylindrical jar = height × Base area
= 33.3 × [tex]\pi.(4^{2} )[/tex]
= 33.3 × [tex]16\pi[/tex]
= 532.8[tex]\pi[/tex] [tex]cm^{3}[/tex]
The air take up 20%
The volume of air in cylindrical jar
= 532.8[tex]\pi[/tex] × 20%
= 106.56[tex]\pi[/tex]
≅ 334.60 [tex]cm^{3}[/tex]
Hence, the volume of air in cylindrical jar is 334.60 [tex]cm^{3}[/tex].
Learn more about volume of cylinder here
https://brainly.com/question/15891031
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