Answers
Total surface area =
= [tex]2 \frac{1}{4} * 4 \frac{3}{4} + 3 \frac{1}{3} * ( 6 - 2 \frac{1}{4} )[/tex]
= 10.6875 + 12.5
= 23.1875
∴ Volume = 23.1875 t
Answer:
Step-by-step explanation:
Related Questions
This is an EXPLAIN YOUR THOUGHTS question. Be sure to answer ALL parts of the questions and include all your work!
Task: Find the volume of the figure below. (Hint: divide them into two figures you know how to solve for).
Part a) What is your strategy, ie what shapes can you divide the figure into to find the volume?
Part b) What eqautions will you use to find the VOLUME? First state the general equations. Then include the known values into the equation.
Part c) What is the VOLUME? (don't forget units!)
Answers
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
SOME ONE PLEASE HELP
Choose the correct simplification of the expression (7m3 n)2.
A.14m5n3
B.14m6n2
C.49m5n3
D. 49m6n2
Answers
the expression (7*m³*n)²
we know that
(7*m³* n)²---------> (7)²*(m³)²* (n)²-----> (7²)*[(m)^(2*3)]* (n²)----> 49*[m^6]*n²
the answer is the option
D. 49m6n2
Find the values of x and y that make these triangles congruent by the HL theorem 2x-1 y-1
Answers
2x−y−1Use CYmath is give you all math question that you need
Tara has 2 bags of marbles. The first bag contains 6 red marbles,5 blue marbles and 4 green marbles.The second bag contains 3 red marbles,2 blue marbles, and 4 green marbles.Tara will randomly select 1 marble from each bag.What is the probability that Tara will select a blue marble from each bag?
Answers
Answer: Tara will have a 2/27 probability of choosing a blue marble from each bag
solution: First, we need to find the probability for the first bag using (p= number of outcomes/ total of outcomes), the number of outcomes is 5, and the total is 15, so our probability for bag 1 is 5/15.
Then, for the second bag, the number of outcomes is 2, and the total is 9, so the probability for the second bag is 2/9
To find the probability for both of the bags, we have to multiply them: 5/15 × 2/9= 10/135=2/27
A construction company needs to remove 2 1/6 tons of dirt from a construction site. They can remove 7/8 tons of dirt each hour. What is the total number of hours it will take to remove the dirt?
Answers
It will take the construction company approximately 2 10/21 hours to remove the dirt.
Explanation:To find the number of hours it will take to remove the dirt, we need to divide the total amount of dirt by the amount of dirt that can be removed each hour. First, we need to convert the mixed number 2 1/6 tons to an improper fraction. 2 1/6 = 13/6 tons. Next, we divide 13/6 by 7/8 to find the number of hours:
13/6 ÷ 7/8 = 13/6 × 8/7 = 104/42 = 2 20/42 = 2 10/21
So, it will take the construction company approximately 2 10/21 hours to remove the dirt.
lou has 1/2 of a circular pizza left over from a party. he takes a third if it as a snack and evenly splits up the rest to share with his three brothers. Assuming that Lou cuts slices from the center of the straight edge, what are the angles of the slices of pizza. Select two that apply.
Answers
ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F. Therefore, which equation must be true? m∠DEF = m∠D 'F 'E '
Answers
Final answer:
The equation m∠DEF = m∠D'F'E' must be true following a 90° clockwise rotation of ∆DEF, because rotations preserve angle measures.
Explanation:
When a geometric figure such as ∆DEF is rotated 90° clockwise about a point A, to create ∆D'E'F, corresponding angles in the two triangles will be equal. This is true because a rotation is a type of rigid motion, which preserves angle measures. The equation m∠DEF = m∠D'F'E' must be true because the angle at F in the original triangle ∆DEF becomes the angle at E' in the rotated triangle ∆D'E'F, given the preservation of angle measures through rotation.
Therefore, for such geometric transformations, it's crucial to understand that rotations do not alter the internal angles of the shape being transformed, which is consistent with the rules of plane geometry. This principle is useful in solving many problems that involve the rotation of figures within a plane.
Please answer and explain
Answers
a= one leg
b= other leg
c= hypotenuse
a^2 + b^2= c^2
plug in known numbers
(3)^2 + (2)^2= c^2
9 + 4= c^2
13= c^2
take the square root of both sides
√13= c
13 is not a perfect square
ANSWER: (C) √13 cm
________________
BOTTOM QUESTION:
a= one leg
b= other leg
c= hypotenuse
a^2 + b^2= c^2
plug in known numbers
(6)^2 + (10)^2= c^2
36 + 100= c^2
136= c^2
take square root of both sides
√136= c
136 is not a perfect square
ANSWER: (D) √136 ft
Hope this helps! :)
six less than four times a number is 26. What is the number?
Answers
The number would be - 8
lets do the work:
(8 x 4) - 6 = 26
Therefore your answer is 8.
Hope this helps!
~DL
Find the measure of the base angles in an isosceles triangle if the third angle measures 47° .... Show work please
Answers
First, subtract 47 from 180. You are left with 133. That is the sum of the two base angles combined.
In order to find the value for EACH base angle, divide 133 by 2. You are left with 66.5.
That is the answer! Both of the base angles are 66.5 degrees each.
Final answer:
Each base angle of the isosceles triangle measures 66.5°, found by subtracting the given angle from 180° and dividing the remainder by 2.
Explanation:
To find the measure of the base angles in an isosceles triangle when one angle measures 47°, we will use the fact that the sum of all angles in any triangle is always 180°.
Additionally, we know from geometry that in an isosceles triangle, the angles opposite the equal sides are equal. Applying these principles, we first subtract the given angle from the total sum of the angles:
180° (total angles in a triangle) - 47° (given angle) = 133°.
Now, since the remaining two angles are equal, we divide 133° by 2 to find the measure of each base angle:
133° ÷ 2 = 66.5°.
Thus, each base angle of the isosceles triangle measures 66.5°.
given a mean of 7.6 and a standard deviation of 3.1 what is the z-score of the value 10 rounded to the nearest tenth ?
A)0.8
B)0.9
C)1.7
D)5.7
Answers
========================================================
Work Shown:
mean = mu = 7.6
standard deviation = sigma = 3.1
x = 10 is the raw score
Use those values to find the z score
z = (x-mu)/sigma
z = (10-7.6)/3.1
z = 2.4/3.1
z = 0.7741935483871
z = 0.8 (approximate answer to the nearest tenth, ie one decimal place)
What is the area of triangle ABC
Answers
Answer:
8.4
Step-by-step explanation:
find the measure of the angle
Answers
Measure of the Bigger Angle= Measure of Given Angle+Measure of Smaller Angle
Measure of Bigger Angle =Measure of Angle to be Found
Measure of Angle to be Found= Measure of Given Angle + Measure of Smaller Angle
The smaller Angle signifies one quadrant
So, Measure of Smaller Angle = 90°
Measure of Angle to be found=90°+Measure of given Angle
Measure of Angle to be found=90°+55°
Measure of Angle to be found=145°
Answer:145°
In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of an ounce) has an additional cost. The function below represents the cost of mailing one letter in this country.
f(c)=0.42 + 0.20[x-1]
Josiah has two letters. The first weighs 2.9 ounces, and the second weighs 4.1 ounces. What is the total amount Josiah can expect to pay for postage?
$1.62
$1.64
$1.84
$2.04
Answers
Answer:
Total amount Josiah can expect to pay for postage is:
$ 1.84
Step-by-step explanation:
cost of mailing one letter in the country is:
f(x)=0.42 + 0.20[x-1]
The first weighs 2.9 ounces, and the second weighs 4.1 ounces.
Cost of mailing first letter=0.42+0.20(2.9-1)
=0.42+0.38
=$ 0.8
Cost of mailing second letter=0.42+0.20(4.1-1)
=0.42+0.62
=$ 1.04
total cost=$(0.8+1.04)
=$ 1.84
Hence, total amount Josiah can expect to pay for postage is:
$ 1.84
Aiden mixes 630 mL of blue paint with 2 L of red paint to make purple paint how many milliliters of purple paint does Aidan have
Answers
Here's why: Every liter has 1000 milliliters. so two L is 2000 liters. so 2000+630= 2630 :)
You are building a rectangular deck. The area of the deck should be 250ft². You want the length of the deck to be 5 ft longer than twice its width. What should the dimensions of the deck be?
Answers
Then..
(2w+25)*(w-10)=0
and you get the answer of w=10 and l=25
if i know the diameter of a circle and the approximation for pi, how can I estimate the circumference of a circle?
Answers
You can plug in the diameter for [tex]d[/tex] and multiply this by [tex] \pi [/tex] to get the circumference of the circle.
What is the value of x?
sin(x+21)°=cos(2x+21)°
Answers
if sin A=cos B
then
angle A and angle B are complementary angles
so
A+B=90°
in this problem
(x+21)+(2x+21)=90-------> 3x+42=90-------> 3x=48-----> x=16°
mila wants to spend at least $20 on a classified ad in the newspaper. She has $12, how much does she need?
I need an equation with an inequality please:) thank you!
Answers
Mila needs at least $8 more to reach her goal of spending $20 on a classified ad. The inequality to represent this problem is x ≥ 8, where x is the amount of additional money she needs.
If Mila wants to spend at least $20 on a classified ad and currently has $12, we need to figure out how much more money she needs. We denote the amount of money she needs with the variable x. An inequality that represents this situation is:
12 + x ≥ 20
Subtracting 12 from both sides of the inequality to isolate x, we get:
x ≥ 20 - 12
x ≥ 8
So, Mila needs at least $8 more to have enough for the classified ad.
PLEASE HELP!!!!! I WILL FAIL MATH IF I DONT GET THIS RIGHT!!! WILL MARK BRAINLIEST!!!!!
What is 60 scaled down by a factor of 1/10?
ERGENT
Answers
You can do this a number of ways.
The first way is to set up a proportion. That's very formal, and is most respected.
Proportion.
x / 60 = 1 / 10 The proportion is reduced by a factor of 10. Cross Multiply.
10 * x = 60 * 1
10x = 60 Divide by 10
x = 60/10
x = 6
Multiply by the scale factor.
Beginning number * scale factor = Final result.
60 * 1/10 = Final Result
60 * 1 / 10 = Final Result
Final Result = 6
This method words even when the numbers are quite complicated.
On February 1, the electricity meter reading for the Smith residence was 19,423 kilowatt hours. On March 1, the meter read 20,288 kilowatt hours. On April 1, the meter read 21,163 kilowatt hours. a. How many kilowatt hours of electricity did the Smiths use during February? b. How many kilowatt hours did they use during March?
Answers
Kilowatt hours of electricity the Smiths used during February:
Meter read on March 1 - meter read on February 1 =
20,288 kilowatt hours - 19,423 kilowatt hours =
865 kilowatt hours
Answer: The Smiths used 865 kilowatt hours of electricity during February
b. How many kilowatt hours did they use during March?
Kilowatt hours of electricity the Smiths used during March:
Meter read on April 1 - meter read on March 1 =
21,163 kilowatt hours - 20,288 kilowatt hours =
875 kilowatt hours
Answer: The Smiths used 875 kilowatt hours of electricity during March
HELP PLZ ASAP!!!!!!!!!!!
THX
Answers
PLEASE HELP, ASAP!
The diagram shows the view from the top of a rectangular building and the lawn around the building. The building and lawn form the shape of a trapezoid.
What is the area of the lawn?
Enter your answer in the box.
Answers
A square pyramid is sliced so that the cross section is perpendicular to its base. The cross section intersects the vertex of the pyramid. What is the shape of the cross section?
Question 1 options:
Trapezoid
Triangle
Square
Pentagon
Answers
What is the value of 2x3squared +x2squared when x = 3
Answers
2x(3)^2+x(2)^2
2(3)(9)+3(4)
54+12=66
the volume of a cylinder is 1,692.46 in cubed. if the radius becomes three times as large, what will be the cylinder's volume?
Answers
To find the new volume of the cylinder, multiply the original volume by 9.
Explanation:To find the new volume of the cylinder, we need to find the new radius first. Since the radius becomes three times as large, the new radius will be 3 times the original radius. Next, we substitute the new radius into the volume formula for a cylinder.
V = πr²h
Let's assume the original radius is 'r' and the original volume is 1,692.46 in³. Therefore:
1,692.46 = πr²h
The new radius will be 3r, so the new volume becomes:
V = π(3r)²h = 9πr²h
So, the new volume of the cylinder will be 9 times the original volume or 9 * 1,692.46 = 15,231.14 in³.
A plane can travel 640 miles against the wind in the same time it can travel 800 miles with the wind. If the plane can fly 180 mph in calm air, what is the speed of the wind? If x represents the speed of the wind, which expression represents the time it takes for the plane to travel the 640 miles against the wind?
Answers
Answer:
640/(180 - x)
Step-by-step explanation:
The expression for time it takes for the plane to travel the 640 miles is 640/ (180- x).
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Let the speed of the wind be x
Speed of the plane is 180 mph
When plane flew with wind , Speed = (180+x)
When plane flew against the wind , Speed=(180-x)
Since we are given that A plane can travel 640 miles against the wind .
So, Time= Distance / speed
Time= 640/ (180 - x)
Hence, time it takes for the plane to travel the 640 miles is 640/ (180- x)
Learn more about Algebra here:
https://brainly.com/question/8036642
#SPJ2
30kx-6kx=8 solve for x
Answers
Answer:
1/3k
Step-by-step explanation:
30kx -6kx=8
We can operate the two terms in left because they are similar
24kx = 8
We divide by 8 both sides
3kx = 1
Finally, we divide by 3k both sides
x = [tex]\frac{1}{3k}[/tex]
Answer: x = 1/3k
Step-by-step explanation:
z
The density of glass is 2.6 g/cm3 and the density of lead is 11.3 g/cm3. Does this mean there are more particles of lead in 1 cm3 or that the lead particles are heavier than the glass particles? Give reasons for your answer.
Answers
A higher density means that lead is heavier than glass for the same volume, signifying that lead particles are both heavier and more numerous in a given volume than the glass particles.
Explanation:The density of a substance tells us how much mass is in a given volume, and it is expressed in g/cm³. Comparing the densities of glass (2.6 g/cm³) and lead (11.3 g/cm³), we can say that a given volume of lead is much heavier than the same volume of glass. This could mean either there are more lead particles or the lead particles are heavier. But from atomic physics, we know that individual lead atoms are indeed heavier than individual silica atoms (which make up glass). Therefore, the higher density of lead signifies that the lead particles are both more numerous and heavier in a given volume than the glass particles.
Learn more about Density here:https://brainly.com/question/16837974
#SPJ3
to avoid a large shallow reef a ship set a course from point a and traveled 24 miles east to point b . the ship them turn and traveled 33 miles south to point c. if the ship could have traveled in a straight lime from point a to point c about how many miles could it have saved
Answers
Distance traveled= 24 mi +33 mi=57 mi
Next, we are going to use the Pythagorean theorem to find the distance from [tex]a[/tex] to [tex]c[/tex]:
[tex]d^2=24^2+33^2[/tex]
[tex]d^2=576+1089[/tex]
d^2=1665
[tex]d= \sqrt{1665} [/tex]
[tex]d=40.8[/tex] mi
Finally, we are going to subtract the two distances:
57 mi -40.8 mi= 16.2 mi
We can conclude that if the ship could have traveled in a straight lime from point a to point c, it could have saved 16.2 miles.