[tex](\stackrel{a}{-35}~~,~~\stackrel{b}{-12})\qquad \impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-35)^2+(-12)^2}\implies c=\sqrt{1225+144}\implies c=\sqrt{1369} \\\\\\ \underline{c=37}~\hspace{10em}sin(\theta )=\cfrac{\stackrel{opposite}{-12}}{\underset{hypotenuse}{37}}[/tex]
As a member of a dance troupe, Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white). If a costume consists of either a pair of tights and a T-shirt with a scarf or a pair of tights and a T-shirt without a scarf, how many different costumes are possible?
Answer:
24
Step-by-step explanation:
24
The total number of different costumes possible is 24 if Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white).
The costume consists of either a pair of tights or a T-shirt with a scarf:
In this case total number of ways = 2×3×3 = 18
Pair of tights and a T-shirt without a scarf:
In this case total number of ways = 2×3 = 6
Total number of different costumes are possible:
= 18 + 6
= 24
Thus, the total number of different costumes possible is 24 if Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.
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mom bought a dress for 320 dollars during the big sale its original price is 400 yuan how much is the discount
Answer:
20% discount
Step-by-step explanation:
Given the following question:
20% of 400
To find the answer we will use the formula to calculate percentages, once we have that answer we then subtract it from the original price to see if we have the same new price as the question.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times40}{100}[/tex]
[tex]20\times40=8000[/tex]
[tex]8000\div100=80[/tex]
[tex]=80[/tex]
Subtract from the original price:
[tex]400[/tex]
[tex]400-80=320[/tex]
[tex]=320[/tex]
The dress has a "20% discount."
Hope this helps.
The table gives the value of bianca’s savings account at the end of each of the first four years.
which best describes the terms of this investment?
The savings account of a person shows the amount which is immediately available to the person and this helps to create budgets and control spending.
What are Tables?This refers to the way data is arranged by showing the figures in columns for easy reading and calculations.
Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.
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Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
a.
b.
c.
d.
Please select the best answer from the choices provided
A
B
C
D
Which of the following are valid names for the given triangle? Check all that
apply.
A. LMZ
B. ZMC
C. LCM
D. LMD
E. MLZ
F. ZML
Answer:
A.
E.
F.
Step-by-step explanation:
Those are the three points connected on the triangle.
Answer:D. LMD
Step-by-step explanation:
What is the sum of -7 and its additive inverse?
Answer:
The sum of a number and its additive inverse is equal to 0.
Step-by-step explanation:
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
a.18 x minus 15 = 72
b.50 x minus 25 = 72
c.18 x minus 9 = 72
d.3 (6 x minus 3) = 72
e.x=4.5
Answer:
C, D and E
Step-by-step explanation:
Given equation:
[tex]\dfrac35(30x-15)=72[/tex]
Use the distributive law [tex]a(b-c)=ab-ac[/tex]:
[tex]\implies \dfrac35\cdot30x- \dfrac35\cdot15=72[/tex]
[tex]\implies \dfrac{3 \cdot30}5x- \dfrac{3 \cdot15}5=72[/tex]
[tex]\implies \dfrac{90}5x- \dfrac{45}5=72[/tex]
[tex]\implies 18x- 9=72[/tex] ← option c
Factor out common term 3:
[tex]\implies 3(6x- 3)=72[/tex] ← option d
Solve [tex]18x- 9=72[/tex]:
[tex]\implies 18x- 9+9=72+9[/tex]
[tex]\implies 18x=81[/tex]
[tex]\implies \dfrac{18x}{18}=\dfrac{81}{18}[/tex]
[tex]\implies x=4.5[/tex] ← option e
Hailey went to Frank's Market and bought 1 3/4 pounds of coffee at $13 a pound and 8 1/2 pounds of rice at $0.45 pero pound. If Hailey paid with a $50 Bill how much chance did she receive?
Answer: She received $18.42 as change.
Step-by-step explanation:
Given: Cost of coffee per pound = $13
[tex]1\dfrac34[/tex] pounds of coffee costs [tex]=1\dfrac34\times 13=\dfrac{4+3}{4}\times 13[/tex]
[tex]=\dfrac74\times 13\\\\=\$ 22.75[/tex]
Cost per pound of rice = $0.45
[tex]8\dfrac12[/tex] pounds of rice costs = [tex]8\dfrac12\times 0.45=\dfrac{17}{2}\times0.45[/tex]
[tex]=\$3.825[/tex]
Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58
If Hailey paid $50, then she will receive = $(50-31.58)
= $ 18.42
Hence, She received $18.42 as change.
Answer: She received $18.42 as change.
Step-by-step explanation:
Given: Cost of coffee per pound = $13
pounds of coffee costs
Cost per pound of rice = $0.45
pounds of rice costs =
Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58
If Hailey paid $50, then she will receive = $(50-31.58)
= $ 18.42
Hence, She received $18.42 as change.
what is the answer to this question
Answer:
x = 1
Step-by-step explanation:
the axis of symmetry is a vertical line passing through the vertex or turning point of the parabola with equation
x = c ( c is the x- coordinate of the vertex )
the vertex is at (1, 0 ) with x- coordinate 1 , then
equation of axis of symmetry is x = 1
Helpppppp!!!!!!!!!!!$
6(4m+1)+6 simplified
Answer:
24m + 12
Step-by-step explanation:
Use the distributive property on 6(4m+1) to simplify it down to 24m +6
The equation is now 24m + 6 + 6
Simplify farther by adding the like terms 6 and 6
24m + 12
Answer:
24m+12
would be your answer
Step-by-step explanation:
hope this helps
Answer two questions about Equations A and B:
A.
5x = 3.2
B.
5=3
1) How can we get Equation B from Equation A?
Answer: D and no
Answer:
we can get the value by our IQ... i.e if we take x is equals to 2 then it must be 5 is equal to 3
Each of 4 gift bags contains X pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 36 pencils. What is the answer as an equation
Hello and Good Morning/Afternoon
Let's take this problem step-by-step:
Let's consider the information given:
there are 4 gifts bags that contain 'x' pencilTotal number of pencils = 4 * x = 4x
3 more pencils are added to each bagTotal number of pencils = 4 * (x + 3)
in total there are 36 pencils4(x+3) = 36
Answer: 4(x+3) = 36
Hope that helps!
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Which type of change or reaction always results in a new substance?
chemical change
all answers are wrong
phase change
physical change
Answer:
Chemical Change-
-
A geometric
sequence is defined
recursively by
an = 3an-7. The 1st
term of the
sequence is 2.7.
Write the explicit
formula for the
sequence.
HELP PLEASE
Answer:
2.7n=8.1^n-7
thank you for the lovely question
What is 125.315 in standard form?
Answer: 1.25315*102
Step-by-step explanation:
Find the surface area of the figure below.
Answer:
108 i think
Step-by-step explanation:
Answer:
108 inch.
Step-by-step explanation:
To make it a bit easier, I calculated the area of each side of the prism that was shown.
1. Start with the triangular sides: 3 × 4/2 = 6. Since there are two triangular surfaces, you add them together. In the end, you have 12 inch.
2. Calculate the surface with the dimensions 8 in. with 5 in.: 8 × 5 = 40 inch.
3. Calculate the surface with the dimensions 4 in. with 8 in.: 4 × 8 = 32 inch.
4. Calculate the surface with the dimensions 3 in. with 8 in.: 3 × 8 = 24 inch.
5. Last step - add all the results together: 12 + 40 + 32 + 24 = 108 inch.
Hope it helped!!
If a = -4 and b= -3, work out the value of a/2+b
Given Equation Is:
[tex] \: \: [/tex]
[tex] \sf \large \frac{a}{2} + b[/tex][tex] \: \: [/tex]
Now, Put the value of a = -4 and b = -3 in given eqn .
[tex] \: \: [/tex]
[tex] \sf \large \: \frac{ - 4}{2} - 3[/tex][tex] \: \: [/tex]
[tex] \sf \large \cancel \frac{ - 4}{ \: \: 2} - 3[/tex][tex] \: \: [/tex]
[tex] \sf \large \: - 2 - 3[/tex][tex] \: \: [/tex]
[tex] \boxed { \sf \large \color{pink} \: \: \: \: \: \: \: 5 \: \: \: \: \: \: \: }[/tex][tex] \: \: [/tex]
Hope Helps!:)
The solution to the equation takes the form a/2+b, where, a = -4 and b= -3, is 4 or -5 depending on the equation used.
What is the substitution of variables into an equation?The substitution of variables takes a defined pattern. In the given question, we are to replace the following values for a and b. i.e. a = -4 and b = -3 into the equation a/2+b.
So,
If a = - 4;and b = -3Then, using the expression:
[tex]\mathbf{=\dfrac{a}{2+b}}[/tex]
The solution to the equation can be calculated as:
[tex]\mathbf{=\dfrac{-4}{2+(-3)}}[/tex]
[tex]\mathbf{=\dfrac{-4}{-1}}[/tex]
Divide both the numerator and denominator by (-1)
= 4
However, if the equation is [tex]\mathbf{\dfrac{a}{2}+b}[/tex]
The solution to the equation will be as follows:
[tex]\mathbf{\dfrac{-4}{2}+(-3)}[/tex]
= -2 - 3
= -5
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Write an equation to represent each relationship 23 more than 10 times a number is the same as 5 more than the number
Answer:
23 + 10x = x + 5
you write out that first 23 plus 10 times x and it gives you 5 more than x
Find the area of the parallelogram.
-
14 cm
14 cm
A= | cm2
Answer:
= 196 cm^2
Step-by-step explanation:
A= bh
= 14X14
= 196 cm^2
Need help...
How do I solve these systems of equations? What method should I use?
8x + 5y = -17
y = -5
Answer:
Substituition. (1,-5)
Step-by-step explanation:
Take y=-5 and plug it into the equation. 8x-25=-17. Solve equation; 8x=8. Simplify; x=1. Plug your x-values and y-values into parentheses. X first, then y. (1,-5).
A cylinder has a height of 10 inches and a radius of 4 inches. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth
Cylinder volume = base area x height = pi x r² x h
so with r = 4 inches and h = 10 eaches
V = 3,14 x 4² x 10 = 502,40
pls help for this maths question
Answer:
it's centimeters yes I am right
Is Y = 8 proportional
Answer:
yes it is
Step-by-step explanation:
it can be written as a fraction
A dog has a litter of three male pups and five female pups. What percent of the pups in the litter are male??
ANSWER QUICK PLEASE MATH TEST TMR
Factor this polynomial 15c^3 + 10c^2 - 40c
Answer:
5c(3c-4)(c+2)
Step-by-step explanation:
We can factor the GFC out
15c^3+10c^2-40c
5c(3c^2+2c-8)
Then we can factor by quadratic trinomials
5c(3c-4)(c+2)
Evaluate the following variable expression 5a + 2b - 17 when a = 3 and b = 4 is?
Answer:
20+8=28
28-17
11
Step-by-step explanation:
How do I write an inequality for this?
Answer:
[tex] - 2 \leqslant x < 5[/tex]
Step-by-step explanation:
The shaded part is after - 2 and the circle is shaded which indicate that x is greater than or equal to - 2. The shaded part before the 5 and the open circle indicate that x is also less than 5.
i need answer now asap plzzz 25 points
Enzo is making a scale drawing of the rectangle below.
A rectangle has a length of 8 centimeters and width of 5 centimeters.
Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?
Enzo is correct because he used a factor of 2 to enlarge the rectangle.
Enzo is correct because he doubled one dimension and added the two lengths to get the other dimension.
Enzo is not correct because the enlarged rectangle should be 16 centimeters by 5 centimeters.
Enzo is not correct because he did not multiply the length and width by the same factor.
Answer:
Tjats is baout the circumfrence of nonsensical poop
Step-by-step explanation:
Answer:
what ever the first person have answer
Find the value of x. (2x +4)° 2x-9)°
Answer: x=3
Step-by-step explanation: 2x +4)° 2x-9)°= 4x 2 +8x−9=3
Pull out like factors :
2x + 4 = 2 • (x + 2) (4 • (x + 2) • x) - 9
4x • (x + 2) - 9
Factoring 4x2+8x-9
The first term is, 4x2 its coefficient is 4 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 4 • -9 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is 8 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5
-6 + 6 = 0
-4 + 9 = 5
-3 + 12 = 9
-2 + 18 = 16
-1 + 36 = 35
x=3
The value of x for the given triangle is 37°.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
The sum of all interior angles of a triangle is 180°.
So,
x + 2x +4 + 2x-9 = 180°
5x - 5 = 180°
x = 37°
Hence "The value of x for the given triangle is 37°".
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Given question is missing an image attached below;