A diagonal of a cube goes from one of the cube's top corners to the opposite corner of the base of the cube, Find the length of a diagonal d in a cube that has an edge of length 10 meters.
d = 17.3 m
Step-by-step explanation:
We can extend Pythagorean theorem to 3 dimensions by writing
[tex] {d}^{2} = {x}^{2} + {y}^{2} + {z}^{2} [/tex]
or
[tex]d = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } [/tex]
Since we are dealing with a cube of side 10 m, then
x = y = z = 10 m
so we get
[tex]d = \sqrt{ {10}^{2} + {10}^{2} + {10}^{2} } [/tex]
or
[tex]d = \sqrt{3 \times {10}^{2} } = 10 \sqrt{3} \: m[/tex]
This becomes
d = 17.3 m
If y = 87.5, what is the value for x? 300x + 300 x plus StartFraction 500 over 7 EndFraction y equals 10,000.Y = 10,000 300x + 300 x plus StartFraction 500 Over 7 EndFraction y equals 10,000.(87.5) = 10,000 300x + 6,250 = 10,000
Answer:
[tex]x =12.5[/tex]
Step-by-step explanation:
Given
[tex]300x + \frac{500}{7}y =10000[/tex]
[tex]y = 87.5[/tex]
Required
Find x
Substitute [tex]y = 87.5[/tex] in [tex]300x + \frac{500}{7}y =10000[/tex]
[tex]300x + \frac{500}{7}*87.5 =10000[/tex]
[tex]300x + 500*12.5 =10000[/tex]
[tex]300x + 6250=10000[/tex]
Collect like terms
[tex]300x =10000-6250[/tex]
[tex]300x =3750[/tex]
Divide by 300
[tex]x =12.5[/tex]
Answer:
12.5
Step-by-step explanation:
Pls help. What is the appropriate congruent for these triangles
Answer:
Side-Side-Side (SSS) Congruence - if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
Side-Angle-Side (SAS) Congruence - If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
Angle-Side-Angle (ASA) Congruence - If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
Angle-Angle-Side (AAS) Congruence - If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
u see which one fits
Answer: SAS
Step-by-step explanation: because there are Two sides and the angle between them are congruent.
Can someone help me
Answer:
m∠W = 134
Step-by-step explanation:
JGN is congruent to AIW and the names of the triangles are both in the same order. That may sound confusing but this means that:
J = A
G = I
N = W
So, if angle N is 134 then angle W is the same.
can someone help please...
Answer:
the answer is median (b)
PLEASE HELP FINDING TRIANGLE ANGLE
Answer:
x = 146
Step-by-step explanation:
The exterior angle of the triangle is equal to the sum of the opposite interior angles
x = 48+98
x = 146
Answer:
The sum of all the angles in a triangle is 180 degrees,
We know the measures of two angles, 48 and 98
if we add those and then subtract their sum from 180, we can find the third angle which will help us find the exterior angle x
48+98=146
180-146 = 34
now, we have to do 180-34 to find the measure of x.
why? any straight line is 180 degrees.
180-34 = 146
x = 146
hope this is correct and it helps you.
Find the percent of markup on a T-shirt that has a store cost of $4.87 and a selling price of $15.95
Answer:
69.47%
Step-by-step explanation:
Calculation to determine Find the percent of markup
Using this formula
Percent of markup=New price-Old price/Old price
Let plug in the formula
Percent of markup=$15.95-$4.87/$15.95
Percent of markup=$11.08/$15.95
Percent of markup=0.6947*100
Percent of markup=69.47%
Therefore the percent of markup is 69.47%
Ellie made an octagon and used a ruler so each side is the same length. Her octagon has a perimeter of 80 inches. What is the length of each side? ___ (your answer) inches
Answer:
Each side is 10 inches because the perimeter is 80 inches, you will have to divide 80 by 8 because octagon is a shape with 8 sides. So 80 divided by 8 is 10..... So the answeer is 10 inches.
Step-by-step explanation:
80÷8=10
brainliest!!!!?
Math C Peasha - Unit 5 Pythagorean Theorem and Irrational Numbers
JIME REMAINING
1
2
3
6
18 | 10
28:42
Which irrational number can be added to to get a sum that is rational?
and
Find QR.
PLEASE HELP!!!
Answer:
B.6
Step-by-step explanation:
3 + 2x + 22 = x + 17
Combine like terms
25 + 2x = x + 17
Subtract 17 from both sides
8 + 2x = x
Subtract 2x from both sides
8 = -x
Divide both sides by -1
x = -8
Substitute -8 for x in 2x + 22 to find value of QR
2(-8) + 22
Multiply
-16 + 22
Add
QR = 6
The length of QR in the given figure by combining like terms and applying the substitution method, QR = 6
Used the concept of addition and combining like terms in the mathmatical expression.
Given that,
The length of line segments is,
PQ = 3
QR = (2x + 22)
PR = (x + 17)
Now, from the figure,
PQ = QP + QR
Substitute the given values,
x + 17 = 3 + 2x + 22
Combine like terms
x + 17 = 25 + 2x
Subtract 17 from both sides
x = 8 + 2x
Subtract 2x from both sides
x - 2x = 8
- x = 8
Divide both sides by -1
x = -8
So, for the length of QR,
Substitute - 8 for x in the length of QR,
QR = 2x + 22
= 2(-8) + 22
= -16 + 22
= 6
Learn more about the line segment visit:
https://brainly.com/question/280216
#SPJ4
Simplify the expression:
-7(4-5)
Answer:
=-28+35 =7 is the answerWhich integer is farthest from 0?
3
-8
-10
9
Answer:
-10
Step-by-step explanation:
i think this is the answer
Need help please!! :)
Answer:
[tex]A: (-3,1)[/tex]
[tex]B:(-1,-1)[/tex]
[tex]d=\sqrt{(-3-(-1)^{2} +(-1(-1))^{2} }[/tex]
[tex]=\sqrt{(-2)^{2}+(2)^{2} }[/tex]
[tex]=\sqrt{4+4}=\sqrt{8}[/tex]
[tex]=2\sqrt{2} =2.8[/tex]
---------------------
hope it helps..
have a great day sis ^_^!!!
Answer:
Coordinates of :-
A= (-3,1)
B= (-1,-1)
Distance AB= [tex]\sqrt{-2+3)^{2}+(-1-1)^{2} }[/tex]
[tex]\sqrt{(2)^{2} +(-2)^{2} }[/tex][tex]=\sqrt{4+4}[/tex][tex]=\sqrt{8}[/tex][tex]=2.8[/tex]OAmalOHopeO
ZEFG and ZGFH are a linear pair, mZEFG = 3n+ 21, and mZGFH = 2n + 34. What are mZEFG and mZGFH?
Answer:
The answer is below
Step-by-step explanation:
∠EFG and ∠GFH are a linear pair, m∠EFG = 3n+ 21, and m∠GFH = 2n + 34. What are m∠EFG and m∠GFH?
Solution:
Two angles are said to form a linear pair if they share a base. Linear pair angles are adjacent angles formed along a line as a result of the intersection of two lines. Linear pairs are always supplementary (that is they add up to 180°).
m∠EFG = 3n + 21, m∠GFH = 2n + 34. Both angles form linear pairs, hence:
m∠EFG + m∠GFH = 180°
3n + 21 + (2n + 34) = 180
3n + 2n + 21 + 34 = 180
5n + 55 = 180
5n = 125
n = 25
Therefore, m∠EFG = 3(25) + 21 = 96°, m∠GFH = 2(25) + 34 = 84°
If a value started at 1000, Increased 7 times, and ended at 12000, how much did the value increase each time?
Answer:
the value of increase each time is 1,571.43
Step-by-step explanation:
Given;
original value of the number, A = 1000
final value of the number, N = 12,000
Assuming the number increased equally each time, let the value of increase each time = x
The following linear equation will be obtained to solve for x;
7x + 1000 = 12,000
7x = 12,000 - 1,000
7x = 11,000
x = 11,000/7
x = 1,571.43
Therefore, the value of increase each time is 1,571.43
A $108,000 down payment would be? of the purchase price.
Answer: 10.8%
Step-by-step explanation:
The question is asking what the percentage of the down payment is of the purchase price of the house.
For such a question, the purchase price needs to be known.
We shall therefore assume a purchase price and you can use the process to find out your percentage.
Assume the purchase price is $1,000,000.
The percentage would be:
= Down payment / Purchase price * 100%
= 108,000 / 1,000,000
= 10.8%
Answer:
10.8%
Step-by-step explanation:
see above
Use the diagram to answer the questions.
Is line m parallel to line n? Explain.
Is line m perpendicular to line k? Explain.
Answer:
No
Yes
Step-by-step explanation:
Let's find the inclination of the 3 lines.
m:
((-4) -3)/(0 - (-4))
-7/4
n:
((-2) -2)/(3 - 1)
-4/2
-2
k:
(1 -(-3)/(4 -(-3)
(1 +3)/4 +3
4/7
Okay, we find the inclination of all the three lines. For two lines be parallel, they have to have the same inclination. The inclination of m = -7/4 and the inclination of n = -2, so they're not parallel. And now, to know if m is perpendicular to k, they inclination have to be the opposite of the inverse of each other, so it means that they have to have opposite signals, and they need to be inverted fractions (for example a/b are inverted to b/a), and they are these two things: m = -7/4 and n = 4/7, so they're perpendicular
Answer:
No, the slopes are not equal.
Yes, the slopes are negative reciprocals.
Step-by-step explanation:
Just did it on edge.
Given the similar triangles at the left, write a similarity statement.
HELP IS NEEDED!!!!! PLEASE HELP ME ASAPPP!!!
Answer:
∆ABC~=∆PQR
Angle BAC=QPR
Triangle ABC is reflected across the line y= x. What are the coordinates of the vertex B'of the resulting triangle a'b'c?
Find k if (x+1) 2x^3+kx^2+1
Find k if (x+1) is a factor of 2x³ + kx² + 1
Answer:
k = 1
Step-by-step explanation:The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
This is because;
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
From the question
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
To earn a bonus in a video game, you must find at least 60% of the hidden gems. You find 25 out of 40 gems. Do you get the bonus? Explain.
Write the inverse of the given conditional statement
Answer:
If I live in South Carolina then I live in Charleston
Step-by-step explanation:
Just switch them
Pls I need help with this
Answer:
the missing side is 6
Step-by-step explanation:
Using the Pythagorean theorem, ([tex]a^{2} + b^{2} = c^{2}[/tex]), for right triangles, you get [tex]4^{2} + (2\sqrt{5}) ^{2} = c^{2}[/tex]. Since the square cancels the square root for side b you get [tex](2^{2})*(5)[/tex] which equals 20. This makes your equation go to 16+20 = [tex]c^{2}[/tex]. Then add the numbers to make [tex]36=c^{2}[/tex] solve for c by taking the square root of both sides to get c = 6.
What is the range of this set of data?
Answer: B) [tex]0 \le y \le 100[/tex]
====================================================
Explanation:
The range is the set of possible y outputs. Visually, we look for the highest and lowest points to determine that range of y values. The lowest point occurs when y = 0, which is the left-most point of the graph. The highest point is when y = 100 where the peak is.
So we say that y is between 0 and 100, including both endpoints to lead to the inequality [tex]0 \le y \le 100[/tex]
The range in interval notation is [0, 100]. The square brackets say to include the endpoints.
------------
Side note: The domain appears to be [tex]2.5 \le x \le 9.5[/tex] since the left-most point seems to have the x coordinate x = 2.5 and the right-most point seems to have the x coordinate x = 9.5. The domain is the set of all possible x inputs. So if your teacher was asking about the domain, then the answer would be C.
Can someone help on this? Please :)
answer:
N(t)=2×[tex]1.7^{t}[/tex]
17
15
step by step explain:
before lesson (t=0), she knows 2 words.
after a week (t=1), she knows
2×(1+70%)=3.4 words
after one more week (t=2), she knows
3.4×(1+70%)=5.78 words
one more week later (t=3), she knows
5.78×(1+70%)=9.826 words
and so on ...
from pattern shown above, we know that she knows
2×[tex]1.7^{t}[/tex] words after t weeks
so N(t)=2×[tex]1.7^{t}[/tex]
after 4 weeks (t=4), she knows 2×[tex]1.7^{4}[/tex]=16.7042≈17 words
for learning 5000 words, she need:
2×[tex]1.7^{t}[/tex]=5000
[tex]1.7^{t}[/tex]=2500
t log(1.7)=log(2500)
t=[tex]\frac{log(2500)}{log(1.7)}[/tex]
=14.7448727
≈15 (round up)
Answer:
(a) N(t) = 2(1.7)^t
(b) 17
(c) 15
Step-by-step explanation:
(a) N(t) = 2(1.7)^t
There is a 2 because she starts with 2 words. The 1.7 is since her vocabulary grows by 70%. Finally, t represents the weeks. (it is an exponent)
(b) Just plug in the equation
N(4) = 2(1.7)^4
N(4) = 2(8.3521)
N(4) = 16.7042
Round, so it is 17
(c) Once again, plug in the equation
5000 = 2(1.7)^t
2500 = (1.7)^t
use a calculator for the part below
log1.7(2500) = log1.7(1.7)*t
t = log1.7(2500)
t = 14.7448
Round, so it is 15
The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone.
Which are equivalent equations? Select two correct answers.
Step-by-step explanation:
The formula for the lateral area of a right cone is :
LA = rs
Where
r is the radius of the base and s is the slant height of the cone
Equivalent expression,
[tex]r=\dfrac{LA}{s}[/tex]
or
[tex]s=\dfrac{LA}{r}[/tex]
Hence, this is the required solution.
Answer:
The answers are C & E
PLZ HELP SOMEBODY Given the following triangle with the indicated height and base. Write and simplify an expression for the area of the triangle. Justify your answer with the appropriate formulas and calculations. Find a value of that is less than 6 for which the base, height, and area of the triangle are all positive.
Answer:
Step-by-step explanation:
h × b × [tex]\frac{1}{2}[/tex] = A (this is the formula)
2 × 3 × [tex]\frac{1}{2}[/tex] = 3m²
I believe you forgot to mention some information...but hope this helps...
2) If a = 6 feet and b = 8 feet, what is the measure of c?
6 feet
8 feet
10 feet
14 feet
An attachment would help. Assuming this is the Pythagorean theorem, c would be 10 feet. (6)^2 + (8)^2 = 100 -----> √100 = 10
Please Answer, Giving Brainliest and 50 points!
8 is the GCF of what two numbers?
24 and 48
14 and 32
16 and 28
16 and 56
Answer:
16 and 56
Step-by-step explanation:
gcf of 24 and 48 is 24
gcf of 14 and 32 is 2
gcf of 16 and 28 is 4
Let's find one by one
#1
24 and 48
GCF=24No
#2
14 and 32
GCF is 2No
#3
16 and 28GCF is 4
No
#4
16 and 56
GCF is 8Yes
The volume of the cylinder
Answer:
15550.88
Step-by-step explanation:
the formula for the volume of a cylinder is πr^2(h), so plug in height and radius, and you have the answer.
Answer:
15550.88
Step-by-step explanation:
You use πr^2 h