calculate the volume of a tetrahedron of side 9cm
Answer:
85.9 cm^3
Step-by-step explanation:
The formula for the volume of a regular tetrahedron is a^3 / (6 sqrt2)
If we plug in 9 for a, we have
9^3 / (6 sqrt2) = 85.9 cm^3
A currency exchange will convert 1
United States dollar (USD) into 105.19
Japanese Yen (JPY).
a) Convert 250 USD into JPY
b) Convert 13148 JPY into USD
Answer: a) 26297.50 b) 124.992870045
Step-by-step explanation:
a) 105.19*250=26297.50
b) 13148/105.19= 124.992870045
A circular lawn has an area of 1138 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern that just covers the lawn. What is the radius of the circle? Round your answer to one decimal place and use π = 3.14 π = 3.14
Answer:
[tex]r = 19.0\ ft[/tex]
Step-by-step explanation:
Given
[tex]Area = 1138ft^2[/tex]
[tex]\pi = 3.14[/tex]
Required
Determine the radius of the circle
The area is calculated using;
[tex]Area = \pi r^2[/tex]
Substitute for Area and π
[tex]1138 = 3.14 * r^2[/tex]
Make r the subject
[tex]r^2 = \frac{1138}{3.14}[/tex]
[tex]r^2 = 362.420382166[/tex]
[tex]r = \sqrt{362.420382166}[/tex]
[tex]r = 19.0373417831[/tex]
[tex]r = 19.0\ ft[/tex] --- Approximated
For the word KANGAROOS, if a letter is selected at random, what is the probability
that it is a vowel?
Answer:
4/9 or 44.4%
Step-by-step explanation:
What is the soil type that is primarily found on the East Coast of the United States
Need ASAP
The answer is
Pedalfer
You can model 1/2÷1/6 on a number line. The red oval has a length of 1/6. How many ovals can you drag onto the number line from 0 to 1/2 without gaps or overlaps? What does this tell you?
Answer:
3the quotient is 3Step-by-step explanation:
You can fill in the space between 0 and 1/2 with 3 ovals that are of length 1/6.
This tells you that 1/2 ÷ 1/6 = 3.
What the answer to this
Answer:
Grapes are sold for 1.75 per pound.
if f(x)=x^2-5x and f(n)=-4 , then which of the following could be a value for n?
a. -5
b. -4
c. -1
d. 1
PLZ SOMEONNE HELP! DUE TODAY!!!!!!!!!!!!!
Answer:
2. is the second one, 3. is the 3rd one (i think)
Step-by-step explanation:
The product of negative 4 and y increased by 11 is equivalent to -5
Answer:
Step-by-step explanation:
-4y+11=5
-4y = -6
y = 3/2
Answer:
Y=4
Step-by-step explanation:
-4y+11=-5
-4y= - 11-5
-4y= - 16
Divide by - 4
Y =4
Use the numbers shown to make the two equations true. Each number can be used only
once. Write the number in the appropriate box for each equation.
3
6
100
36
1,000
1,000,000
What is the solution to this epuation x+6=24
Answer: i think the answer is 18 ( please let me know if this answer is wrong ) !
how do you solve 4/5= -2/9?
Answer:
False
Step-by-step explanation:
The left side 0.8 does not equal to the right side -0.22, which means the given statement is false. Thank you and have a good day. Judging by this question, I presume that you are doing homework or classwork, and I wish you good luck.
Solve |x|= 10
please
Answer:
x=10, x= -10
Step-by-step explanation:
basically all absolute value does is make the end result of everything inside of it positive. So 10 and -10 both would be equal to 10 when you use absolute value on them
The solutions to the equation |x| = 10 are x = 10 and x = -10.
We have,
When x is positive:
If x is positive, the absolute value of x is equal to x itself.
x = 10.
When x is negative:
If x is negative, the absolute value of x is equal to the negation of x.
-x = 10.
To solve -x = 10, we multiply both sides by -1 to isolate x:
-x = 10
Multiply by -1:
x = -10
Therefore,
The solutions to the equation |x| = 10 are x = 10 and x = -10.
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Solve using long division
Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs does the situation represents additive inverse?
Answer:
answer
Step-by-step explanation:
Answer:
Yes, she runs 8 flights of stairs
During his vacation, Dalyn rents a small boat from a rental service that charges a flat fee of $30 plus $10 per hour (including taxes). The total charge comes to $90. Which equation can be used to calculate the number of hours, x, that Dalyn rents the boat?
Arlene writes this problem:
827 divided by 1120
Which expressions represent Arlene's problem?
Select each correct answer.
it looks like its answers two, four, and five.
tell me how you did !
The expressions that can represent 827 divided by 1120 are:
827 ÷ 1120
827 / 1120
1120 ) 827
Options C, D, and E is the correct answer.
Given,
827 divided by 1120.
We need to see which expressions represent this.
How can we write division?We can write it as:
If a ÷ b
- a / b
- b ) a
Find the expression for 827 divided by 1120.
We can write it as:
827 ÷ 1120
827 / 1120
1120 ) 827
Thus the expressions that can represent 827 divided by 1120 are:
827 ÷ 1120
827 / 1120
1120 ) 827
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Circle O is shown. Secants C A and C E intersect at point C outside of the circle to form an angle with measure 36 degrees. Secant C A intersects the circle at point B, and secant C E intersects the circle at point D. Arc B D is 48 degrees. In circle O, what is mArc A E?
Answer:
120°Step-by-step explanation:
The external angle <C outside the circle can be expressed in terms of length of arc AE and BD using the formula below.
<C = [tex]\frac{AE-BD}{2} \\[/tex]
Next is to make the length of arc AE the subject of the formula;
<C = [tex]\frac{AE-BD}{2} \\[/tex]
cross multiply
[tex]2<C = AE-BD[/tex]
add BD to both sides of the equation
[tex]2<C+BD = AE-BD+BD\\2<C +BD = AE[/tex]
[tex]AE = 2<C +BD[/tex]
Given
<C = 36°
arc BD = 48°
Substitute the given parameters into the formula;
[tex]AE = 2<C +BD\\AE = 2(36)+48\\AE = 72+48\\AE = 120^0\\[/tex]
Hence mArc is 120°
Answer:
its C, 120
Step-by-step explanation:
got it right on the test
The angles are supplementary. Write and solve an equation to find the value of x.
xº
40°
Answer:
x+40 = 180
x = 140
Step-by-step explanation:
Supplementary angles add to 180
x+40 = 180
Subtract 40 from each side
x+40-40 =180-40
x = 140
The sum of the measures of the angles of all triangles is 180 if one of the triangle measures 45 and the other two angles are equal what is the measure of each of the other two angles
Answer:
67.5
OR
45, 90
Step-by-step explanation:
The answer would either be 135, or 45, 90.
This is because typically whenever we see a all sides of a triangle equal 180, we can already understand there is a trig relationship, and when they give us one angle being 45, we see this as a 45-45-90 Triangle. (x, x, x*sqrt(2))
Or the simple but probably wrong answer would be 45 - 180 = 135. 135/2 = 67.5
ii) p – (p – q) – q – (q – p)
Answer:
-q + p
Step-by-step explanation:
p - (p - q) - q - (q - p) = p - p + q -q - q + p
= 0 + 0 - q + p
= -q + p
What 5 7/10 times -5/9
A triangle has side lengths of (7.4b + 6.3c) centimeters, (1.1b + 8.7d) centimeters, and (3.5d + 2.1c) centimeters. Which expression represents the perimeter, in centimeters, of the triangle? 17.1cd + 12bd 5.6d + 150 + 8.5b Submit Answer 9.8bd + 13.7bc + 5.6cd 12.2d + 8.5b + 8.40
Answer:
This might help you.....
using the diagram below classify the angle pairs as corresponding, alternate interior, alternate exterior, consecutive interior, or none.
Answer:
a. ∠4 and ∠7 are consecutive interior angles
b. ∠2 and ∠11 are alternate exterior angles
c. ∠12 and ∠16 are corresponding angles
d. ∠8 and ∠13 are alternate interior angles
e. ∠11 and ∠15 are corresponding angles
f. ∠7 and ∠10 none
g. ∠1 and ∠14 are alternate exterior angles
h. ∠12 and ∠15 are consecutive interior angles
i. ∠6 and ∠7 none
j. ∠1 and ∠3 are corresponding angles
k. ∠12 and ∠16 are corresponding angles
l. ∠6 and ∠15 are alternate exterior angles
m. ∠5 and ∠10 are alternate interior angles
n. ∠8 and ∠14 are consecutive interior angles
Step-by-step explanation:
Corresponding angles are angles in similar corners of two lines that are crossed by a transversal
Alternate interior angles are angles formed on the inside but opposite sides of two lines crossed by a transversal
Alternate exterior angles are angles formed on the exterior or outer but opposite sides of two lines crossed by a transversal
Consecutive interior angles are angles on the interior part of the two lines crossed by a transversal and on the same side of the transversal
a. <4 and <7 = Consecutive interior
b. <2 and <11 = alternate exterior angles
c. <12 and <16 = corresponding angles
d. <8 and <13 = alternate interior angles
e. <11 and <15 = corresponding angles
f. <7 and <10 = none
g. <1 and <14 = alternate exterior angles
h. <12 and <15 = Consecutive interior
i. < 6 and <7 = none
j. <1 and <3 = corresponding angles
k. <12 and <16 = corresponding angles
l. <6 and <15 = alternate exterior angles
m. <5 and <10 = alternate interior angles
n. <8 and <14 = corresponding angles
First, we need to understand how angles found on parallel lines are paired and classified. An image showing the angle pairs have been attached below.
Corresponding angles pairs are indicated by the red color, orange color, and the blue colors because they occupy the same corner along the transversal line.Alternate interior angles are positioned opposite each other along the transversal line, but are inside the two parallel lines. They are the green angles.Alternate exterior angles are outside the parallel lines but lie opposite each other along the transversal. They are indicated by yellow.Consecutive angles lie opposite each other within the parallel lines. They are colored pink.Therefore, the angles given can be classified similarly using the image as:
a. <4 and <7 = Consecutive interior
b. <2 and <11 = alternate exterior angles
c. <12 and <16 = corresponding angles
d. <8 and <13 = alternate interior angles
e. <11 and <15 = corresponding angles
f. <7 and <10 = none
g. <1 and <14 = alternate exterior angles
h. <12 and <15 = Consecutive interior
i. < 6 and <7 = none
j. <1 and <3 = corresponding angles
k. <12 and <16 = corresponding angles
l. <6 and <15 = alternate exterior angles
m. <5 and <10 = alternate interior angles
n. <8 and <14 = corresponding angles
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The perimeter of a rectangle is 77cm. The length is 6 times the width. Find the width and length of the rectangle. HELPPP I’m stuck on this
Answer:
462
Step-by-step explanation:
multiple 77x6
Answer:
The width is 5.5cm.
The length is 33cm.
Step-by-step explanation:
Since the length is 6 times the width, [tex]l=6w[/tex] (l represents the length and w represents the width.)
Perimeter = Length + Length + Width + Width = [tex]6w+6w+w+w=14w[/tex]
Since the perimeter is 77cm,
[tex]14w=77[/tex]
Divide both sides by 14:
[tex]\frac{14w}{14}=\frac{77}{14}[/tex]
[tex]w=5.5[/tex]
The width is 5.5cm.
We know that the length is 6 times the width,
so the length = [tex]6\times 5.5=33[/tex].
The length is 33cm.
There are 32 students going on a field trip. One fourth of them are girls. How many
boys are going on the trip?
Answer: 8
Step-by-step explanation:
1/4 = .25
32 x .25 = 8
there are 8 boys on the trip
plz mark brainliest
helpppp illl mark u as brainlist
Greetings! Hope this helps!
Answer
Spain established colonies in search of God, Gold, and Glory
Have a good day!
_______________
A brainliest would help tons! :D
Answer:
spain
Step-by-step explanation:
Tall or short? Mr. Walker measures the heights (in inches) of the students in one of his classes. He uses a computer to calculate the following numerical summaries: Mean Std. dev. Min Q1 Med Q3 Max 69.188 3.20 61.5 67.75 69.5 71 74.5 Next, Mr. Walker has his entire class stand on their chairs, which are 18 inches off the ground. Then he measures the distance from the top of each students head to the floor. (a) Find the mean and median of these measurements. Show your work. (b) Find the standard deviation and IQR of these measurements. Show your work.
Answer:
a. x=69.188 +18 =87.188" (mean)
69.5+18=87.5" (median)
b. Standard deviation=3.20, IQR: 3.25
There's no change because your adding a value to all the data points.
From the data-set, we have that:
a) The mean is of 69.188 inches, while the median is of 69.5 inches.
b) The standard deviation is of 3.20 inches and the IQR is of 3.25 inches.
-----------------
The data-set information is:
The mean is of 69.188 inches.The standard deviation is of 3.20 inches.The minimum height is of 61.5 inches.The first quartile(Q1) is of 67.75 inches.The median is of 69.5 inches.The third quartile(Q3) is of 71 inches.The maximum height is of 74.5 inches.-----------------
Item a:
The mean is of 69.188 inches, while the median is of 69.5 inches.-----------------
Item b:
The standard deviation is of 3.20 inches.The IQR is the difference between Q3 and Q1, thus 71 - 67.75 = 3.25 inches.A similar problem is given at https://brainly.com/question/15565902
the density of a certain material is such that it weighs 2 ounces per 6.5 millimeters of volume. Express the density in grams per fluid ounce
Answer: 258 grams per fluid ounces
Step-by-step explanation:
The density in grams per fluid ounce of the given material is 258.20 grams / fluid ounce.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
Density is the ratio of mass and volume.
Density = 2 ounce ÷ 6.5 cubic milimeter
Since,
1 fluid ounce = 29.6 millimeter
1 ounce = 28.35 grams
So,
Density = (2×28.35)/(6.5×1/29.6)
Density = (2×28.35×29.6)/(6.5×1)
Density = 258.20 grams / fluid ounce
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