use the diagram on the right. How many planes contain both the line and the point
a. FG and point P
b. EP and point G
Answers
Part (a)
Answer: 0-------------------
Explanation:
Point P is part of 3 planes or faces of this triangular prism:
plane PEF (the front slanted plane)plane PEH (the left triangular face)plane PHG (the back rectangular wall)Notice how each three letter sequence involves "P", though this isn't technically always necessary. I did so to emphasize how point P is involved with these planes.
Each of the three planes mentioned do not involve line FG
Plane PEF only deals with point FPlane PEH doesn't have any of F or G involvedplane PHG only involves GSo there are no planes that contain line FG and point P.
==================================================
Part (b)
Answer: 0-------------------
Explanation:
It's the same idea as part (a) earlier. The planes involving point G are
plane GQF (triangular face on the right)plane GFE (bottom rectangular floor)plane GHP (back rectangular wall)None of these planes have line EP going through them.
As an alternative, we could reverse things and focus on all of the planes connected to line EP. Those 2 planes are
plane PEH (triangular face on the left)plane PEF (front slanted rectangular face)None of these planes have point G located in them.
Related Questions
Which of the following objects can best represent a PLANE?
A intersection of walls
B corner of a door
C point of a pen
D the ceiling
Answers
(√17+3√48)-(√17-3√48)
Answers
Answer:
Step-by-step explanation:
[tex](\sqrt{17}+3\sqrt{48})-(\sqrt{17}-3\sqrt{48}) =\sqrt{17}+3\sqrt{48}-\sqrt{17}+3\sqrt{48}\\[/tex]
[tex]= \sqrt{17}-\sqrt{17}+3\sqrt{48}+3\sqrt{48}\\\\= 0 + (3+3)\sqrt{48}\\\\=6\sqrt{48}\\[/tex]
Now factorize 48
[tex]= 6\sqrt{2*2*2*2*3}\\\\=6*2*2\sqrt{3}\\\\=24\sqrt{3}[/tex]
if the area of a right angle triangle with base 3 cm is 6cm find the height
Answers
Answer:
A=1/2 Bh
6cm^2=1/2.3cm.h
12cm^2=3cmh
H=4cm
5x^2 - x + 9 when x = -5
Answers
Answer:
139
Step-by-step explanation:
If x=-5
then
5*-5^2-(-5)+9
5*25+5+9
139
Answer: 139
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
5x² - x + 9
x = -5
Substitute value into the expression
=5(-5)² - (-5) + 9
Simplify exponents
=5 (25) + 5 + 9
Simplify by multiplication
=125 + 5 +9
Simplify by addition
=[tex]\boxed {139}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
On the real number line, point E is at –18 and point F is at –9. What is the distance between point E and point F ?
Answers
Answer:
-9
Step-by-step explanation:
Sami orders cowboy hats online for a party. They cost $11.95 each with a shipping fee of $7.95.
Sami recently paid $223.05 for some cowboy hats.
Write an equation that to find the number of cowboy hats Sami ordered. Then find the number of
cowboy hats she ordered,
Answers
Answer:
223.05/x(11.95+7.95) 11.21.
Step-by-step explanation:
If each hat costs 11.95 plus a shipping fee of 7.95, you must add those numbers together. This makes the variable that will help indicate the number of hats ordered. Then you divide 223.05 by 19.9 (the total cost per hat) and you'll get your answer of 11.21 rounded.
What are the two conditionals that form the statement below? Two numbers are reciprocals if and only if the product is one
Answers
1. Two numbers are reciprocals, if their product is one.
2. Two numbers are reciprocals only if their product is one.
But that #2 is another way to say
2. If two numbers are reciprocals, then their product is one.
This is how “if and only if” statements work, that knowing one side of the statement is true guarantees you know the other side is too and it has to work both ways.
Which fraction is equal to 0.98
Answers
The most simplified version of it is 49/50
Answer:
98/100
Step-by-step explanation:
The number after the decimal is the tenths place. And the second number after the decimal is in the hundredths place. And so on...
So .98 would be in the hundredths place making it 98/100.
If you want to simplify it even more, you would make it 49/50.
Hope that helped : )
Reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally,
translate it down 2 units. What is the relationship between the original line segment and the transformed line segment? If you
transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?
Answers
What is 1.83333333333 as a fraction?
Answers
Answer:
1 83/99
Step-by-step explanation:
This is how u do it
Answer:
[tex]\frac{183333333333}{100000000000}[/tex]
Step-by-step explanation:
1.83333333333 as fraction
we need to divide the fraction by the number of digits it have before decimal point to convert it to fraction
here we have 11 digits before decimal point so we need to divide it by 100000000000
so
[tex]\frac{183333333333}{100000000000}[/tex]
Someone plzzz help me wit question
Answers
Answer:
x = 70
Step-by-step explanation:
To find the value of x we need to
we know that the figure is an isosceles triangle so the base angles will be equal
we also know that angle sum of triangle is 180
so
40 + x + x = 180
40 + 2x = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
Need help with 7 I don’t get it
Answers
√97 units
Step-by-step explanation:
AB represents the largest side of the triangle so in order to solve for that side, use Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
where a = height b = base and c = the largest side
Step 1. Find the length of AC (represented as a)
Answer: 9 units
Explanation: either count how many units or use the distance formula
Step 2. Find the length of CB (represented as b)
Answer: 4 units
Explanation: either count how many units or use the distance formula
Step 3. Substitute a for 9 and b for 4 units in Pythagorean Theorem
9^2 + 4^2 = c^2
Step 4. Simplify the exponents
81 + 16 = c^2
Step 5. Solve for c^2
c^2 = 81 + 16
c^2 = 97
Step 6. Square root c^2
c = √97
can someone please answer this for me -11p + 11p
Answers
Answer:
ooouuhhggg
Step-by-step explanation:
iiiiijhhhjjjhhjjjnnnnnnjjj
Answer:
0
Step-by-step explanation:
-11p + 11p
=> 0
There are two different paths Kate can take to school. One path is to kilometer
long. The other path is kilometer long.
100
Compare the lengths of the paths using <, =, or >
80
Answers
Answer:
The answer is 80/100 i think
Step-by-step explanation:
Because i was taught to always go with the greater number. Hope you don't get confused and good luck!!!
Solve the system by the elimination method *
2x – 3y = 12
2x + y = 4
Answers
Answer:
4
Step-by-step explanation:
plssss help meeeee!!!!!!!!!!!!!!!!!!!
Answers
Answer:
b = -30
Step-by-step explanation:
-b/5 - 27 = -21
~Add 27 to both sides
-1/5b = 6
~Multiply -5 to both sides
b = -30
Best of Luck!
pls ans this q/a pls fast...
plssszzzz
Answers
Answer:
[tex]x = - \frac{5}{22} [/tex]
Step-by-step explanation:
[tex]4 - \frac{2(x - 4)}{3} = \frac{3(2x + 5)}{2} [/tex]
➡️ [tex] 4x - \frac{2x - 8}{3} = \frac{6x + 15}{2} [/tex]
[tex] ➡️ 24 - 2(2x - 8) = 3(6x + 15)[/tex]
[tex] ➡️ 24 - 4x + 16 = 18x + 45[/tex]
[tex] ➡️ 40 - 4x = 18x + 45[/tex]
[tex] ➡️ - 4x - 18x = 45 - 40[/tex]
[tex] ➡️ - 22x = 5[/tex]
➡️ [tex] x = - \frac{5}{22} [/tex]
A goat is grazing outside of a rectangular barn that has dimensions 20 ft by 30 ft.
He's tied to a corner of the barn with a 12 ft rope. Find the grazing area of the goat.
Answers
Answer:
108π ft² or 339.29 ft²Step-by-step explanation:
Refer to attached picture.
The grazing area of the goat is 3/4 of area of circle with 12 ft radius:
A = 3/4(πr²) = 3/4(π*12²) = 108π or 339.29 ft²Tied to the corner
Means 1part among 4parts of circle or a quarter area
So grazing field
πr²-1/4πr²3/4πr²3/4(12)²π3/4(144)π108π339.3ft²What numbers are 3 units from -2 on a number line?
A number line ranging from negative 10 to positive 10
Select from the drop-down menus to correctly complete the statements.
Answers
Answer:
1 is 3 units from -2 on a number line.
-5 is 3 units from -2 on a number line.
Step-by-step explanation:
Jacob is making fruit punch in a pitcher. He mixes 32 ounces of orange juice and 26 ounces of pineapple Julce. Then, he fills as many cups as he can
with 5 ounces of fruit punch in each cup.
How many ounces of fruit punch are left in the pitcher? Enter the answer in the box.
Answers
Answer:
3
Step-by-step explanation:
how many days altogether in the first four months of 1998
Answers
Answer:
120 days
Step-by-step explanation:
There are 31 days in January, 28 in February (this was not a leap year), 31 in March and 30 in April. All you have to do now is add 31 + 28 + 31 + 30 for a final answer of 120 days!
Answer:
120
Step-by-step explanation:
January: 31
February: 28
March: 31
April: 30
31+28+31+30=120
Simplify each expression
Answers
Please Explain Step By Step
Answers
Answer:
its hard i don't know
Step-by-step explanation:
very bad
very very bad
very much bad
bad
dy/dx y = 3root(4x+1) -2x
Answers
Answer:
Step-by-step explanation:
y = 3(4x + 1)^1/2 - 2x
dy/dx = 3*1/2(4x + 1)^-1/2 * 4 - 2
= 4 * 1.5 (4x + 1)^-1/2 - 2
= 6(4x + 1)^-1/2 - 2
= [6/√(4x + 1)] - 2
y = 3(4x + 1)^1/2 - 2x
∫3(4x + 1)^1/2 - 2x . dx
= 3 * 1/4 * (4x + 1)^3/2 / 3/2 - x^2 + C
= 3/4 * 2/3 (4x + 1)^3/2 - x^2 + C
= 1/2((4x + 1)^3/2 - 2x^2) + C.
Answer:
Step-by-step explanation:
[tex]y=3*\sqrt{4x+1} -2x\\\\y'=\dfrac{dy}{dx} =\dfrac{3}{2*\sqrt{4x+1} } -2\\\\\\\int {(3*\sqrt{4x+1} -2x}) \, dx \\\\=\dfrac{3}{4} *\int {4*(4x+1)}^{\frac{1}{2}} \, dx -2\int {x} \, dx \\\\=\dfrac{-3}{4}*\sqrt{(4x+1)^3} *\dfrac{2}{3} }-x^2+C\\\\=\dfrac{\sqrt{(4x+1)^3}}{2} -x^2+C[/tex]
Zeke goes to a skate shop with his friend Tristan. Tristan buys a helmet that costs $28.75. Zeke finds a helmet that is
3
5
of the cost of Tristan's helmet. If Zeke gives the cashier a $20 bill, how much change will he receive?
Answers
Answer:
Zeke will receive $2.75.
Step-by-step explanation:
Helmet cost: (3/5) x 28.75 = $17.25
Gives = $20
20 - 17.25 = 2.75
Original question:
Zeke goes to a skate shop with his friend Tristan. Tristan buys a helmet that costs $28.75. Zeke finds a helmet that is (3/5) of the cost of Tristan's helmet. If Zeke gives the cashier a $20 bill, how much change will he receive?
write 0.800 in simplest fraction form
Answers
8/10 is the answer :)
Answer:
8/10=4/5 ans=4/5
Step-by-step explanation:
0.8x100%
0.8x100/100=80/100
=8/10=4/5
Hello! Any help is appreciated (:
Answers
Y = x+1
Udbzjsjdbejdjjejejejdjejejejsjdjdjdjdjejejekieeu
Answer:
y = x + 1
Step-by-step explanation:
As x increases, y increases by 1. Therefore, the slope is 1. If we set x to 0, that'll make y equal 1. Therefore, the y-intercept is 1.
The area of a square garden is 203 square feet. Estimate the side length of the garden.
its one of these
17 ft
16ft
14 ft
12ft
Answers
14 ft
Explanation:
14.2478068488
urgent answer needed pls
Answers
Answer:
pi*z^2*a or "pizza"
Step-by-step explanation:
The dimensions given describe a cylinder, for which the basic volume formula would be base x height.
The base would be a circle, with the radius z as given while the height is a.
The formula for the area of a circle is pi * r^2, and our radius is z, so the area of a circle with radius z is pi * z^2.
Now, all we need to do is multiply by the height, a. This gives us a volume of pi* z^2 *a
Side note:
z^2 can be written as zz, so the actual area of the pizza could be represented by "pizza".
????? what is the value of c?
Answers
Answer:
X=64°
Step-by-step explanation:
Solution,
x+54°=118° because the sum of two interior angles is equal to the opposite non adjacent exterior angle.
x+54°-54°=118°-54°
x=64°
Answer:
64 degrees
The Process:
54 is already a number that's not going to change, so that's fine. 118 is an outside angle, and a flat line is 180 degrees, so to find the inside angle, you have to do 180 - 118. Once again, there are 180 degrees in a triangle to you need to add 180 - ((180 - 118) +54) and you have the value of x.