Answer: See explanation
Step-by-step explanation:
We should note that the hypothenuse is the longest side in a triangle. Therefore, the length of the other side will be represented by x. This is then solved below:
x² + 3² = 5²
x² + 9 = 25
x² = 25 - 9
x² = 16
x = ✓16
x = 4cm
The other leg is 4cm
Joni shouldn't have added the hypothenuse to the other leg but rather subtracted the square of the other leg from the square of the hypothenuse and then find the square root.
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Answer: 1 B 2 A
Step-by-step explanation:
A box with dimensions 1 1⁄4 ft x 2 3⁄4 ft x 3⁄4 ft was being filled with smaller boxes. Each of the smaller boxes are shaped like a cube. The smaller cube shaped boxes have the dimensions 1⁄4 ft x 1⁄4 ft x 1⁄4 ft. How many of the 1⁄4 ft x 1⁄4 ft x 1⁄4 ft cubes can be packed into the larger box?
Answer: 165 boxes
Step-by-step explanation:
Given
The dimension of the bigger box is [tex]1\ \frac{1}{4}\times 2\ \frac{3}{4}\times \frac{3}{4}\ ft^3[/tex]
the dimension of the smaller box is [tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\ ft^3[/tex]
The volume of the large box
[tex]\Rightarrow V_1=\dfrac{5}{4}\times \dfrac{11}{4}\times \dfrac{3}{4}=\dfrac{165}{64}\ ft^3[/tex]
The volume of the small box
[tex]\Rightarrow V_o=\dfrac{1}{4}\times\dfrac{1}{4}\times \dfrac{1}{4}=\dfrac{1}{64}\ ft^3[/tex]
Suppose there are n small boxes
[tex]\Rightarrow n=\dfrac{V_1}{V_o}[/tex]
[tex]\Rightarrow n=\dfrac{\frac{165}{64}}{\frac{1}{64}}=165\ \text{boxes}[/tex]
In the equation y=2x+3,y represents the total number of preseason and regular season games that your softball team played this summer. The variable x represents the number of weeks in the regular season. Which statement is true?
Answer:
C. Your team plays 3 preseason games.
Step-by-step explanation:
In the equation y = 2x + 3, y represents the total number of preseason and regular season games that your softball team played this summer. The variable x represents the number of weeks in the regular season. Which statement is true?
A. The regular season lasts 2 weeks.
B. The preseason lasts 2 weeks.
C. Your team plays 3 preseason games.
D. Your team plays 3 regular season games each week.
Solution:
The equation for a linear function is given as:
y = mx + b;
where m is the rate of change and b is the y intercept (that is initial value of y at x = 0), y and x are variables.
Given that y = 2x + 3;
The slope (m) = 2 and the y intercept (b) = 3
This slope means 2 games are played every week during the regular season games. The y intercept means that at before the regular games have start, 3 games have been played. Therefore, the team plays 3 preseason games.
I need help with a achieve 3000 a presidents jobs
Answer:
Answer is in the photo. I can only upload it to a file hosting service. link below!
is.gd/qKzpBU
Perform the indicated operation. m/m+n + n/m+n
Answer:
(2mn+m+n)/2
Step-by-step explanation:
Which rectangular equation represents the parametric equations x = 3t ^1/2 and y = 6t?
photo has the answer choices !
Answer:
B
Step-by-step explanation:
on edge 2021
Decrease 20g by 12.5%
Step-by-step explanation:
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Answer:
17.5 g
Step-by-step explanation:
20 g is 100% then a decrease of 12.5% is
100% - 12.5% = 87.5% = [tex]\frac{87.5}{100}[/tex] = 0.875 , then
20g × 0.875 = 17.5 g
A shipping company places circular labels on all of their products. Each label measures a 4 inch radius. If the company order 10 label, how many square inches are needed? Use 3.1 for π.
Answer:502.4 Square inches are need.
Step-by-step explanation:
The magnitude of vector a = (5,m) is 13 and the magnitude of vector b = (n, 24) is 25. What are m and n
Answer:
[tex]m=12\,,n=7[/tex]
Step-by-step explanation:
The magnitude of vector [tex](x,y)[/tex] is given by [tex]\sqrt{x^2+y^2}[/tex]
The magnitude of vector [tex]a=(5,m)[/tex] is [tex]13[/tex].
[tex]\sqrt{5^2+m^2}=13\\5^2+m^2=13^2\\25+m^2=169\\m^2=169-25\\m^2=144\\m=12[/tex]
The magnitude of vector [tex]b=(n,24)[/tex] is [tex]25[/tex].
[tex]\sqrt{n^2+24^2}=25\\n^2+24^2=25^2\\n^2+576=625\\n^2=625-576\\n^2=49\\n=7[/tex]
Therefore,
[tex]m=12\,,n=7[/tex]
Please help I have no idea how to answer this question
Answer:
n = 3
Step-by-step explanation:
plug in 3 for n in the equation:
Numerator: n + 1 = 3 + 1 = 4
Denominator: 2^n = 2^3 = 2 * 2 * 2 = 4 * 2 = 8
Simplify the fraction. Divide common factors from both the numerator and denominator:
(4/8)/(4/4) = 1/2
1/2 = 1/2 ∴ n = 3
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15. B(-2, -9), C(0,-5), D(6,-3), E(4, -7)
Answer:
BC= 2√5
CD= 2√10
DE= 2√5
BE= 2√10
slope of BC = 2
slope of CD = 1/3
slope of DE = 2
slope of BE = 1/3
Step-by-step explanation:
formula for distance = √(x2-x1)²+(y2-y1)²
formula for slope = (y2-y1)/(x2-x1)
Pls help math problem
Answer:
angle plm+angle lpm+angle pml=180°[by angle sum property]
21°+angle lpm+38°=180°
59°+ lpm=180°
lpm=180°-59°
lpm=121°
lpm+npl=180°[by limear pair]
121°+npl=180°
npl=180°-121°
npl=59°
there are y amount of boats in a lake
there are 6 people in each boat.
write an expression in terms of Y for the total number of people in the boats
Answer:
6y
Step-by-step explanation:
Our variable is y
We know that there are 6 people in each boat
Simply multiply 6 and y => 6y
X + 3y =5y
-x + 2y =0
Answer:
If you are asking what the solution to this set of equations is, then they are the same line. They map to the same line.
Step-by-step explanation:
how many possibilities are there if you toss coin 7 times
each toss results in 2 possible outcomes, head or tail so the number of possible outcomes for 7 would be
Answer:
2^7
2x2x2x2x2x2x2 = 2^7
A right triangle has one leg of length y and hypotenuse of length x. What is the length of the other leg of this triangle
a x+y−−−−√
b x2+y2−−−−−−√
c x−y−−−−√
d x2−y2−−−−−−√
Answer:
Step-by-step explanation:
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since isosceles has 2 sides that are equal then,
270 - 108 = 162
divide 162 by 2
162 ÷ 2 = 81
so, C
Answer:
A.)
Step-by-step explanation:
108 + 100 + 62 = 270
Find the value of x, image attached below
Answer:
x = 10
Step-by-step explanation:
Sum of angles in a triangle is 180° , so
35° + (5x + 7)° + (9x - 2)° = 180°
The value of x can now be found by solving the linear equation.
5x + 9x + 35 + 7 - 2 = 180
14x + 40 = 180
14x = 180 - 40
14x = 140
x = 140/14
x = 10
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
ANSWER: C) 44 units
HEP PLSSS
Given f(x)=3x2+4x and g(x)=2x2−x+1.
What is (f+g)(x)?
5x2+3x+1
−x2−5x−1
6x2−4x+1
x2+5x−1
Given ΔPQR, complete the table. Use capital letters.
1.SR
2. PQ AND PS
3. QR
true or false justify your answer
integers are rational numbers
3 squared can be written as a fraction
whole numbers are irrational
How many lines of symmetry does this rectangle have
Help I only have about 25 minutes left to finish this. I risk failing if I don't get this answered. I have 4 more questions after this. HELP PLZ. This is Slope Intercept form still. I will award 100 pts again
Answer:
y = 6x - 20
Step-by-step explanation:
Perpendicular slope = 6
(3, -2)
y - y1 = m(x - x1)
y + 2 = 6(x - 3)
y + 2 = 6x - 18
y = 6x - 20
Answer:
Solution given:
equation of a line is:
y=-⅛x+4.......[1]
Comparing above equation with y=mx+c
we get
slope [m]=-⅛
let slope of another line is M
since the Lines are perpendicular
so m ×M=-1
we get
M=8
again
the another line passes through(x1,y1) (3,-2)
Equation of another line becomes:
(y-y1)=m2(x-x1)
(y+2)=8(x-3)
y+2=8x-24
8x-y=24+2
8x-y=26
[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]
[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]
is a required equation of a line in slope intercept form.
PLEASE ANSWER THIS
imagine is above
Figure 3 shows the electronic structure of an atom.
Figure 3
Electron
Nucleus
RON
This element is in the shaded group on Figure 2.
Why is this element unreactive?
Answer:
huh looks simple....it's unreactive because it's already stable
Step-by-step explanation:
it has eight electrons in the outer most energy level making it stable so it doesn't need to loose or gain electrons
Using the dimensions shown, you could create a rectangular prism. Caculate the surface area for the rectangular prism. A 30m2 b 56m2 c 60m2 d 112m2
Answer:
550ft²
Step-by-step explanation:
Since we are not given the dimension of the rectangular prism. Let us assume;
Length of the rectangular base L = 10ft
Width of the rectangular base W = 15ft
height of the prism H = 5ft
Total surface area of the prism = 2(LW + WH + LH)
Substitute the given values
Total surface area of the prism = 2{10*15 + 15*5 + 10*5}
Total surface area of the prism = 2(150+75+50)
Total surface area of the prism = 2(275)
Total surface area of the prism = 550ft²
Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Part A: Write an equation where the solution represents the amount of money (x), in dollars, Craig has after Michael buys the hat. Explain how you came to this equation. Part B: Now, Craig buys some socks. He has $16 left. Write an equation where the solution represents the amount of money (y), in dollars Craig spent on socks. Show how you know this is the correct equation.
Answer:
a) x + 4 = 48
b) y + 16 = 44
Step-by-step explanation:
a) Michael has $28 and Craig has $24 less than Michael. Let x represent the amount of money that Craig has. Hence:
x = 68 - 24
x + 24 = 68
Given that Michael spends $20 on a new hat. Therefore we subtract 30 from both sides of the equation:
x + 24 - 20 = 68 - 20
x + 4 = 48
x = $44
b) If y represent the amount of money that Craig spent on buying socks. He has 16 remaining.
Therefore:
44 - y = 16
y + 16 = 44
y = $28
you deposit $50 in checks in your account with $100 cash amount, what is your total deposit? (answer in only numbers) $
I’ll give brainiest
Its 150 dollars because your adding 50 +100
(x^2+8x+16)-1-16
what is the vertex form
Answer:
Use photo math, it will explain it all in different forms
