Answer:
the red is longer
Step-by-step explanation:
The plate for a microscope has a circumference of 100pi millimeters. What is the area of the plate? Round to the nearest hundredth, if necessary.
The area of the plate is 7850 square millimeters.
Important information:
Circumference of the plate is [tex]100\pi[/tex] millimeters.Area of circle:Circumference of a circle with radius [tex]r[/tex] is:
[tex]C=2\pi r[/tex]
[tex]100\pi=2\pi r[/tex]
[tex]\dfrac{100\pi}{2\pi}=r[/tex]
[tex]50=r[/tex]
The radius of the plate is 50 millimeters.
Now, the area of the plate is:
[tex]A=\pi r^2[/tex]
[tex]A=(3.14)(50)^2[/tex]
[tex]A=(3.14)(2500)[/tex]
[tex]A=7850[/tex]
Therefore, the area of the plate is 7850 square millimeters.
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Determine the amount of stone needed to build one of the pyramids with a height of 145 m and a square base with a side length of 230m? Find the volume.
Answer:
Step-by-step explanation:
We would apply the formula for determining the volume of a square based pyramid which is expressed as
Volume = 1/3 × base area × height
From the information given,
Side length = 230m
Height = 145m
Since the base is a square,
Base area = 230² = 52900
Therefore,
Volume = 1/3 × 52900 × 145
Volume = 2556833.3 cubic meters
The amount of stone needed is expressed in volume.
Estimate the product. 0.55 x 2.2
Answer:
2
Step-by-step explanation:
0.55 rounded is 1,
2.2 rounded is 2.
1×2=2
have a great day
This net consists of a square and 4 identical triangles. What is the surface area of the solid this net can form?
144 square inches
184 square inches
224 square inches
264 square inches
Answer: C, 224 inches squared
Step-by-step explanation:
When formed into a solid, the triangles are folded upwards to make a pyramid. You can find the surface area by finding the areas of the individual shapes.
There are four triangles with a height of 10 inches and a base of 8 inches.
There is one square with a side length of 8 inches.
Triangle area formula : A = (b * h) / 2
Square area formula: A = s^2
(10 * 8) / 2 = 40
8 ^ 2 = 64
There are four triangles with area of 40 and one square with area of 64.
40 + 40 + 40 + 40 + 64 = 224 inches squared. The correct answer choice is C.
The surface area of the pyramid is 224 in².
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given net will form a square pyramid, so we will find the surface area of the square pyramid.
Therefore,
The area of the pyramid = side² + 2 × side × height
= 8² + 2 × 8 × 10
= 64 + 160
= 224
Hence the surface area of the pyramid is 224 in².
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PLEASE HELP WILL GIVE BRAINLIESTT
Answer:
x = 135,
y = 45
Step-by-step explanation:
45 and y are vertical angles. That means they are equal
y = 45
45 and x form a straight line which means they sum to 180
45+x = 180
Subtract 45 from each side
45+x-45 =180-45
x = 135
A square has a triangular hole in it. What is the area of the figure?
12 in
6 in.
4 in.
12 in
168 in 2
144 in 2
120 in 2
132 in 2
The rectangular prism below has a length of 18 inches, a width of 24 inches, and a height of 12 inches.

What is the surface area of the prism?
1,440 square inches
1,584 square inches
1,872 square inches
2,160 square inches
Answer:
1872
Step-by-step explanation:on edge
Answer:
C) 1,872 square inches
Step-by-step explanation:
Hope this helps!
Brainliest if correct pls??
Help me I don’t get it :(
Answer:
How many people have the coronavirus. Press the link (website) to find the site and i can help you with the rest.
Step-by-step explanation:
Which equations could be used to solve for the unknown lengths of △ABC? Check all that apply.
sin(45°) = StartFraction B C Over 9 EndFraction
sin(45°) = StartFraction 9 Over B C EndFraction
9 tan(45°) = AC
(AC)sin(45°) = BC
cos(45°) = StartFraction B C Over 9 EndFraction
Answer:
the first and last one apply
Step-by-step explanation:
just did it on edu
The equations that can be used to solve for the unknown lengths of △ABC is as follows
sin 45 = BC / 9
cos 45 = BC / 9
Properties of a right angle triangle:One of it angle is 90 degreesThe side and angles of the triangles can be found using trigonometric ratio. The simplest ratios are sine, cosine and tangent.The ratio are represented as follows:
sin ∅ = opposite / hypotenusecos ∅ = adjacent / hypotenusetan ∅ = opposite / adjacentThe trigonometric ratios that can be used to find unknown sides is as follows:
sin 45 = BC / 9cos 45 = BC / 9learn more on right angle triangle here: https://brainly.com/question/14771025?referrer=searchResults
whats the product for (2z-3)^3
Answer:
8z^3-36z^2+54z-27
Step-by-step explanation:
(2z-3)^3
(2z)^3*(2z)^2*3+3*2z*3^2-3^3
8z^3-3*4z^2*3+3*2z*9-27
8z^3-36z^2+54z-27
Answer:
[tex]8z^3-36z^2+54z-27[/tex]
Step-by-step explanation:
[tex](2z-3)^3\\(2z-3)(4z^2-12z+9)\\2z(4z^2-12z+9)-3(4z^2-12z+9)\\8z^3-24z^2+18z-12z^2+36z-27\\8z^3-36z^2+54z-27[/tex]
6.8x+9.3=-9.4+3.4(2-5x)
Answer:
x = -2.67
Step-by-step explanation:
6.8x + 9.3 = -9.4 + 3.4(-3x)
6.8x + 10.2x = -9.4 - 9.3
17x = -18.7
x = -2.67
Duffy completed a 50-meter dash in 36 seconds. That was 90 percent of the time it took Paul to complete it. What was Paul's time?
42 seconds
38 seconds
40 seconds
36 seconds
Answer:
40 seconds
Step-by-step explanation
The table below shows the relationship between the number of miles traveled and the number of gallons of gas used. Which of the following statements best represents the relationship
A. The nu,ber of miles is the dependent quantity and the number of gallons os the dependent quantity
B. The number of miles and the number of gallons are both dependent quantities.
C. The number of gallons and the of miles are both independent quantities.
D. The number of miles is the independent quantity and the number of gallons is the independent quantity.
plz help
Answer:
Number of miles = dependent variable
Number of gallons used = independent variable
Step-by-step explanation:
In order for the driver to see how many miles the car can run, they must first see how many gallons of gas they have in the car. The number of miles depend on the number of gallons used. So, your answer would be letter choice A.
The statement which best represents the relationship is that, the number of miles is the dependent quantity and the number of gallons is the independent quantity.
What are Dependent and Independent Variables?Dependent variable are variables which depends on another variable to take it's value.
Independent variables are those which does not depend on other variables.
Given is a table which represents the number of miles travelled and the number of gallons of gas used.
From the table, if x represents the number of gallons of gas used and y represents the number of miles travelled, then the equation can be written as,
y = 35x
It is clear that, the value of y depends on the value of x.
So, x is the independent variable and y is the dependent variable.
That is, number of gallons of gas used is the independent variable and number of miles travelled is the dependent variable.
Hence the number of miles is the dependent quantity and the number of gallons is the independent quantity.
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please help! i do not understand
Answer:
90%
Step-by-step explanation:
Complimentary means the same. And adding them together would equal 90. Just as you would divide 90 by 3, each individual angle would be equal to 30.
What is the value of 4 to the power of 3 divided by 2 to the power of 3
Answer:
8 is the answer
Step-by-step explanation:
4 to the power of 3 is basically 4x4x4 which equals 64, and 2 to the power of 3 is 2x2x2 which is 8, and 64 divided by 8 is 8
Answer:
8
Step-by-step explanation:
4³ ÷ 2³
Indices
= (2²)³ ÷ 2³
= 2 ^ 6 ÷ 2³
= 2 ^ (6-3)
=2³ = 8
What are recipicles
Answer:
the quantity obtained by dividing the number one by a given quantity.
Ted used a $150 check to pay for some books. Where in his checkbook register should he write this amount?
Help im failing miserably
Answer:
UTR and UTW, hope this helped!
Step-by-step explanation:
Idk what to explain here...
Answer:
XWY and VWT
Step-by-step explanation:
Vertical angles are formed from the same lines but are opposite each other
XWY and VWT are formed by the same lines but are opposite each other
write an expression for the perimeter of the rectangle given 3x+4 and 2x-3
Answer:
2(3x+4) + 2(2x-3)
Step-by-step explanation:
this is because to be able to find the perimeter you use the formula 2(l) + 2(w)
The expression for the perimeter of the rectangle is 10x + 2.
What is the expression for the perimeter of the rectangle?Given the sides of the rectangle:
Length = 3x+4
Width = 2x-3
To determine the expression for the perimeter of the rectangle, we need to consider that the perimeter of a rectangle is given by the sum of all its sides.
The expression for the perimeter (P) is calculated as follows:
Perimeter = 2(Length + Width)
Plug these values into the perimeter formula:
P = 2(3x+4 + 2x-3)
Now, let's simplify the expression:
P = 2(5x + 1)
Finally, we can further simplify it:
P = 10x + 2
Therefore, the perimeter is 10x + 2.
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i need these two questions
Natalie is out for a run. She decides to run a park in town. The length of sides of the park are 15 feet, 1o feet, 12 feet and 14 feet. How many feet will natalie run?
Answer:
51 feet
Step-by-step explanation:
To find how many feet will Natalie run, we just need to sum the four sides of the park that she will run:
Total distance = 15 + 10 + 12 + 14 = 51 feet
So if Natalie runs the sides of the park, she will run a total of 51 feet.
This value is also the perimeter of the park, that is, the sum of all 4 sides of the park.
PLS HELP ME
M^2- 7m+1 ?
Answer:
Step-by-step explanation:
factorize the given equation like this
m^2-7m+1
m^2-2m+1-5m
(m-1)^2-([tex]\sqrt{5m}[/tex])^2
(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])
James delivered 3/8 of the newspaper his route in the first hour and 4/5 of the rest in the second hour. What fraction of the newspaper did James deliver in the second hour?
Answer:
1/2
Step-by-step explanation:
Remaining fraction will be (1-3/8)=5/8
Given that in the second hour he delivered 4/5 of 5/8, then the fraction delivered in the second hour will be:
4/5 of 5/8
=4/5×5/8
=1/2
He delivered 1/2 (in fraction)
Which formula(s) can be used to find the nth partial sum of a geometric sequence or the sum of the first n terms of a geometric series?
Step-by-step explanation:
An=A1. R raised to the power n-1
Is 0 rational or irrational?
Answer:
0 is rational.
Step-by-step explanation:
It counts as an integer.
Answer:
Rational
Step-by-step explanation:
Even though it doesn't look like it, 0 can be written as [tex]\frac{0}{1}[/tex].
Rational numbers can be turned into fractions when both numbers involved are integers and the denominator is not equal to zero.
Zero is a rational number.
Unit 6. 5) Please help. Which equation shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times?
Answer:
D.) 0.7+0.4−0.2=0.9
Q2) Find the unit cost for the following items.
a) 200 mL cream for $2.99 ($ per mL)
b) 450 g packet of chips for $3.8 ( $ per g)
Unit cost = total price / total amount.
A) 2.99 / 200 = $0.01495 per ml
B) 3.80 / 450 = $0.00844 per g
Round the answers as needed.
A transcriptionist types 62 words per minute. Which statement is correct?
Answer:
C. The number of words, w, is the dependent variable
The rectangle below has an area of x^2-7x+10x square meters and a width of x-5x meters. What expression represents the length of the rectangle?
Answer:
The area of a rectangle is:
\sf A=lw
Plug in what we know:
\sf x^2-7x+10=l(x-5)
Factor the left side:
\sf (x-2)(x-5)=l(x-5)
Divide (x - 5) to both sides:
\sf l=\boxed{\sf x-2}
So the length is x - 2 meters.
Step-by-step explanation:
Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersect
at point V. Find the values of x and y. If necessary, round to the nearest tenth.
AN
x = 11.6
y = 11.6
= 11.6
y= 23.2
x = 18.3
y = 36.6
Answer:
(C)x=11.6, y=23.2
Step-by-step explanation:
Using Theorem of Intersecting Secant and Tangent
Applying this theorem in the diagram, we have:
[tex]TQ$ X TP=TR^2[/tex]
[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]
Next, we apply Theorem of Intersecting Chords
PV X VQ=SV X VR
4 X x= 2 X y
Recall earlier we got: x=11.6
2y=4 X 11.6
2y=46.4
Divide both sides by 2
y=46.4/2=23.2
Therefore: x=11.6, y=23.2