Answer:
10
Step-by-step explanation:
The hypotenuse of a triangle is the side that is opposite to the right angle, meaning that none of its endpoints form the right angle. In this case, the hypotenuse is LN which is 10.
Find the Volume of the composite space figure to the nearest whole number.
Answer:
90
Step-by-step explanation:
We need to split this into two shapes are solve one first. In this example I will solve the rectangle on the left first.
V=LWH
V=2(6)(4)
V=48
2nd rectangle
V=LWH
V=1.5(4)(7)
V=42
Add those together
V=48+42
V=90
Answer:
43.2
Step-by-step explanation:
if the lateral edge of a regular tetrahedron is 8 cm, then it's altitude is?
Answer:
The altitude is 6.53 cm
Step-by-step explanation:
A regular tetrahedron is a triangular pyramid having equilateral triangular faces, therefore we have;
Sides of the equilateral triangle = 8 cm
Given that the slant height, the edge of the tetrahedron, and half the base edge of the tetrahedron form a right triangle, we have;
The slant height, h = √(8² - (8/2)²) = √48 = 4×√3
The segment representing the altitude, H, of the tetrahedron forms a right triangle with the edge of the tetrahedron and 2/3×h
Therefore;
8² = H² + (2/3×4×√3)²
H² = 8² - (2/3×4×√3)²
H² = 64 - 64/3 = 128/3
The altitude H = √(128/3) = √6×8/3 = 6.53 cm.
I KEE asking so many questions lol I just don’t understand!
Answer:
Perimeter = 20
Step-by-step explanation:
Perimeter = 9 + 5 + 6
Best Regards!
Solve this equation using the quadratic formula (preferably): 3x^2 - 4x + 6 = 0
Answer:
x = 2/3 ± i√14/3
Step-by-step explanation:
Find the equation of the line
Answer:
y = -2x + 9
Step-by-step explanation:
The slope of the line can be found from 2 points.
(y2-y1)/(x2-x1)
7-3/1-3
4/-2
= -2
-2 is the slope.
The y-intercept is 9.
The equation of a line is y=mx+b.
m is the slope, and b is the y-intercept.
y = -2x + 9
What is the rate of change for the function in the table?
Answer:
$2 per song
Step-by-step explanation:
When you buy 2 songs, you pay $4.
$4 ÷ 2 = $2
Answer:
$2 per song
Step-by-step explanation:
rate of change for the function=cost/no. of song
=y/x
=2
What is the scale factor of the dilation?
1/5
2/5
5/2
5/1
Answer:
C. 5/2
Step-by-step explanation:
A'B'/AB = 5/2
Does the table represent a function? why or why not? HELP WANTEDD
Answer:
C no, because one x value corresponds to two different y values
Step-by-step explanation:
The x value of 3 goes to two different y values
This means this cannot be a function
This is not a one to one correspondence
Answer: C
Step-by-step explanation: In order for a table to represent a function each x-value needs to correspond to exactly 1 y-value.
Notice that in the table, the 3 appears twice and it corresponds to a 5 in one case and it corresponds to a 6 in another case.
Since the x-value of 3 corresponds to more than 1 y-value,
no, this table does not represent a function.
The figure shows the dimensions of a wall having a door and window of a room. Write an algebraic expression for the area of the wall to be painted. PLEASE FAST
Answer:
Area of the wall to be painted = (11x² + 12x) square units
Step-by-step explanation:
The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.
From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).
Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression
(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]
Area of a rectangular figure = Length × Breadth
Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units
Area of window space = (2x) × (x) = (2x²) square units
Area of door space = (x) × (3x) = (3x²) square units
Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)
= 16x² + 12x - 5x²
= (11x² + 12x) square units
Hope this Helps!!!
Find the HCF of 150 and 250
Answer:
It is 50
Step-by-step explanation:
Answer:
50.
Step-by-step explanation:
150 = 2*3*5*5
250 = 2*5*5*5
From the common factors ( one pair of 2's and 2 pairs of 5's):
HCF = 2*5*5
= 50.
which one doesn't belong?
Answer:
The answer is the bottom left because those lines are the only ones which are not parallel.
Answer: Top Right
Step-by-step explanation:
Because all of the lines are are parallel lines that face the right.
Mr Lee wants to top up his oil tank,the oil tank can take up to 1200liters .The tank already has 450l of oil. The price of oil is 81.5p per litre. Mr Lee gets a 7.5% discount on the price of the oil. How much discount does Mr Lee get on this perchance. Answer in £
Answer:
£45.84375
Step-by-step explanation:
To top up the tank he needs:
1200 - 450 = 750 liters
Since the price of oil is 81.5p per liter and he gets a 7.5% discount, the discount per liter is:
81.5 x 7.5/100 = 6.1125p
Since he needs 750 liters, the discount in total is:
6.1125 x 750 = 4584.375p
Since 1p = £0.01
The discount he gets in £ is:
4584.375 x 0.01 = £45.84375
BRAINLIEST!!!!!!BRAINLIEST!!!!BRAINLIEST!!!!BRAINLIEST!!!BRAINLIEST!!!!!BRAINLIEST!!!!BRAINLIEST!!!!BRAINLIEST !!!!!!!
Answer:
answer D
Step-by-step explanation:
let s estimate the D.
(2x+5) is a common factor so we can write
[tex](2x+5)(3x^2+(-5x)+(-4)) = (2x+5)(3x^2-5x-4)[/tex]
and this is the expression of the question
hope this helps
The correct answer would be D
Hope this helps! :)
please answer
topic: perimeter and area volume
(image will be inserted)
it's question 3 in the image
question is: how much do the sides measure?
Answer:
I think the
Step-by-step explanation:
answer is C . let me know
Choose the best estimate for the capacity of a soup bowl. A. 50 ml B. 60 ml C. 5 kl D. 0.5 L
Answer:
0.5 L
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
write 1 and 1/3 as an improper fraction
Answer:
4/3
Step-by-step explanation:
to change a mixed number to an improper fraction, you have to multiply the denominator by the whole number and add the numerator to the product. This is your numerator. The denominator stays the same.
Thus,
Numerator = 3 x 1 +1 = 4
Denominator = 3
Fraction = 4/3
Hope this helps.
The improper fraction of 1(1/3) is 4/3.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
1 and 1/3
An improper fraction means the numerator is greater than the denominator.
So,
1 and 1/3
= 1(1/3)
= (3 x 1 + 1) / 3
= 4/3
4 > 3 so it is an improper fraction.
Thus,
The improper fraction of 1(1/3) is 4/3.
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2pq - 16m - 13pq+ 19m
Pleas simplify
Answer:
-11pq +3m
hope it helps!
Step-by-step explanation:
2pq -16m -13pq +19m
(Group the terms with same variables)
= (2pq-13pq) + (-16m+19m)
= (2-13)pq + (-16+19)m
add/subtract the numbers
= -11pq +3m
PLS ANSWER FOR BRANINETEST
Answer:
3(3/7)
Step-by-step explanation:
Just by doing the math.
Help please ASAP ill mark u whateve ru want
Hey there! :)
Answer:
x = 65°
Step-by-step explanation:
Find the measure of the other two angles using the Supplementary Angles theorem:
180 - 105 = 75°
180 - 140 = 40°
The sum of all of the angles in a triangle is equal to 180°, therefore:
180 = 75 + 40 + x
180 = 115 + x
65 = x
x = 65°
Answer:
x = 65 is your answer but you should mark the person in front of me brainliest
Step-by-step explanation:
Sam is baking cakes at her parents' bakery. She gets paid $20 a week in addition to $5 for every cake she bakes. She made $50 this week. Write an equation to show how many cakes Sam baked this week. 20 − 5x = 50 50 + 5x = 20 20 + 5x = 50 50 − 5x = −20
Answer:
20 + 5x = 50
Step-by-step explanation:
Let the number of cakes Sam baked this week be x
Total amount he received this week = $50
Amount he receives each week = $20
Amount he receives for baking one cake = $5
Amount he would receive for baking x cakes = $5x
Equation: 5x + 20 = 50
Answer:
20 + 5x = 50
Step-by-step explanation:
Let x be the number of cakes
Amount paid per cake = $5
Amount paid for "x" cakes = 5*x = 5x
Basic payment per week = $20
Amount paid that week = 20 + 5x
20 + 5x = 50
Please solve it the answer is (a+b-2) (a-b+2) should be take out question a^2-b^2+4b-4
Answer:
see explanation
Step-by-step explanation:
Given
(a + b - 2)(a - b + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a - b + 2) + b(a - b + 2) - 2(a - b + 2) ← distribute the parenthesis
= a² - ab + 2a + ab - b² + 2b - 2a + 2b - 4 ← collect like terms
= a² - b² +4b - 4
Answer:
this may help uh to get answer..
A girl was born 35 years after her mother what fraction of the mother's age would the girl be at age 15
Answer: 3/10
Step-by-step explanation:
Equations:
m = d + 35
When girl is 15, mom is 35+15 = 50
Ans: girl = (15/50) = 3/10 of the mother's age.
Determine the value of $a$. [asy] pair w=(0,4); pair x=(0,0); pair y=(4,0); pair z=y+7/sqrt(2)*(1,1); dot(w); dot(x); dot(y); dot(z); draw(w--x--y--z--w); draw(0.15*w--0.15*w+0.15*y--0.15*y); label("$W$",w,NNW); label("$X$",x,SW); label("$Y$",y,SE); label("$Z$",z,E); label("4",(w+x)/2,W); label("4",(x+y)/2,S); label("9",(w+z)/2,NNW); label("$a$",(y+z)/2,SE); label("$135^\circ$",y,NNW); [/asy]
Answer:
a=7
Step-by-step explanation:
The image is rendered and attached below.
Triangle WXY is an Isosceles right triangle, since WX=XY.
First, we determine the length of WY using Pythagoras Theorem.
[tex]WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}[/tex]
Since triangle WXY is Isosceles, [tex]\angle XYW=45^\circ[/tex]
[tex]\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ[/tex]
Therefore:
Triangle WYZ is a right triangle with WZ as the hypothenuse.
Applying Pythagoras Theorem
[tex]WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7[/tex]
The value of a in the triangle illustrated is 7.
How to calculate the triangle?From the information, the length of WY will be:
WY = ✓4² + ✓4²
WY = ✓32
Therefore, angle WYZ will be:
= 135° - 45°
= 90°
Therefore, the value of a will be calculated thus:
a² = 9² - (✓32)²
a² = 81- 32
a = ✓49
a = 7
In conclusion, the value of a is 7.
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Find the 14th term of the geometric sequence 10, 20, 40, ...
The 14th term of the geometric sequence 10, 20, 40, ... is 81920.
What is geometric sequence?"A geometric sequence is a special type of sequence. It is a sequence in which every term (except the first term) is multiplied by a constant number to get its next term."
The geometric sequence formulas include the formulas for finding its nth term and the sum of its n terms. We will see the geometric sequence formulas related to a geometric sequence with its first term 'a' and common ratio 'r' (i.e., the geometric sequence is of form [tex]a, ar, ar^{2},ar^{3} ,.............[/tex]). Here are the geometric sequence formulas.
[tex]a_{n}=ar^{n-1}[/tex]
Given geometric sequence
10, 20, 40, .........
From the given sequence
[tex]a_{1} = 10[/tex], [tex]a_{2} = 20[/tex], [tex]a_{3} = 40[/tex]
Using the formula [tex]a_{n}=ar^{n-1}[/tex]
⇒ [tex]a_{4} = 10(2)^{3} =80[/tex]
⇒ [tex]a_{5} = 10(2)^{4} =160[/tex]
⇒ [tex]a_{6} = 10(2)^{5} =320[/tex]
⇒ [tex]a_{7} = 10(2)^{6} =640[/tex]
⇒ [tex]a_{8} = 10(2)^{7} =1280[/tex]
⇒ [tex]a_{9} = 10(2)^{8} =2560[/tex]
.
.
.
⇒ [tex]a_{14} = 10(2)^{13} =81920[/tex]
Hence, the 14th term of the geometric sequence 10, 20, 40, ... is 81920.
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A square forms a semi-regular tessellation with which of the following regular polygons?
A. Trapezoid and hexagon
B. Pentagon and hexagon
C.equilateral triangle and hexagon
D. equilateral triangle and trapezoid
Answer:
a:is the answer good luck men
Answer:
Equilateral Triangle and Hexagon
Step-by-step explanation:
Am Supreme Ruler.
2. Simplify 14 to the 15th power over 14 to the 5th power . 1) 13 2) 110 3) 143 4) 1410
Answer:
[tex]14^{14}[/tex] or 11112006825558016
Step-by-step explanation:
[tex]\frac{14^{15}}{14}[/tex] is the same thing as [tex]\frac{14^{15}}{14^{1}}[/tex].
When we divide 2 exponents together, we subtract:
15 - 1 = 14
[tex]14^{14}[/tex] or 11112006825558016 is your answer.
The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum. 8(x − 11)2 − 56 8(x − 11)2 + 56 8(x2 − 22x + 128) 8(x2 − 22x) + 128
Answer:
8(x^2 − 22x + 128)
Step-by-step explanation:
8(x^2 − 22x + 128) Take 8 as a common factor
The equivalent expression that is most useful to find the year where the population is minimum is, 8(x-11)^2+56
What are quadratic equations?A quadratic equation is an algebraic expression of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a, b are the coefficients, x is the variable, and c is the constant term
Given an expression that represents the population from 1998 to 2018,
[tex]8x^2-176x+1024[/tex]
Let,
[tex]y=8x^2-176x+1024[/tex]
Which is an upward parabola,
Since, the minimum value of an upward parabola,
[tex]y=a(x-h)^2+k[/tex]
is find at x = h,
From equation (1),
[tex]y=8x^2-176x+1024[/tex]
[tex]y=8x^2-176x+968-968+1024[/tex]
[tex]y=8(x^2-22x+121)+56[/tex]
[tex]y=8(x-11)^2+56[/tex]
By comparing,
The population is minimum at x = 11. ( that is after 11 years since 1998 )
Hence, the equivalent expression that is most useful to find the year where the population is minimum is,8(x-11)^2+56
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The digits of both the two-digit numbers in the first calculation below have been reversed to give the two-digit numbers in the second calculation. The answers to the two calculations are the same. 62 × 13 = 806 26 × 31 = 806 For which one of the calculations below is the same thing true
Answer:
42x48
Step-by-step explanation:
The sequence -11, -5, 1...... is an arithmetic
progression. State the three consecutive terms of
this arithmetic progression where the sum of
these three terms is 93.
Answer:
25, 31, 37
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10
-11 -5 1 7 13 19 25 31 37 43
6 6 6 6 6 6 6 6 6
25 + 31 + 37 = 93
Which pair of expressions is equivalent using the Associative Property of Multiplication?
A6(4a ⋅ 2) = 24a ⋅ 12
B 6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6
C6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2
D6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
Answer:
Step-by-step explanation:
In the associative property of multiplication, the product of the multiplication of 3 or more numbers is the same irrespective of how they are grouped. This means that irrespective of the bracket or which number comes first, the product will always be the same.
From the given scenarios, the pair of expressions that are equivalent using the Associative Property of Multiplication are
B 6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6
C 6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2
D6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
The results are the same irrespective of the arrangement of the numbers.