Triangle ABC is isosceles. What is the measure of angle C?
A. 25°
B. 30°
C. 60°
D. 75°
The answer is D, 75°.
All the interior angles of a triangle add up to 180°. With this information, we can set up this equation:
(x + 5) + (3x) + (3x) = 180
Combine like terms.
(x + 5) + (3x) + (3x) = 180
7x + 5 = 180
-5 -5
7x = 175
/7 /7
x = 25
Now, since this is an isosceles triangle, we can easily substitute the value of x into 3x. 3 • 25 = 75 which is 75°.
The states that a2 + b2 = c2, when finding the length of a side for a right triangle.
Answer:
Pythagoras Theorem
Step-by-step explanation:
Answer:
so if I do b1+a1=c1 ok me done
-4v - 5 = -53 help me please
Answer:
v=12
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-4*v-5-(-53)=0
Pull out like factors :
-4v + 48 = -4 • (v - 12)
Solve : -4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : v-12 = 0
Add 12 to both sides of the equation :
v = 12
To check yourself:
-4(12)-5 = -53
Answer: v = 12
Step-by-step explanation:
-4v - 5 = -53
add 5 to both sides
-4v = -48
divide both sides by -4
v=12
Given that f(x) is a cubic function with zeros at -3, 0, and 7, find an equation for f(x) given that f(-8) = -5.
Answer:
[tex]\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}[/tex]
Step-by-step explanation:
[tex]f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5[/tex]
[tex]\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}[/tex]
[tex]\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x[/tex]
If you roll a die twice , what is the probability that sum of the two die 8 will appear
Answer:
5/36
Step-by-step explanation:
Answer:
the probability of getting a total greater than 8 is 10/36=5/18
Step-by-step explanation:
Of the 36 different possible results of rolling a die twice, 10 of them have a total greater than 8.
Therefore, the probability of getting a total greater than 8 is 10/36 which equals 5/18
The graph below represents the function f(x) and the translated function g(x) .
If f(x) = x ^ 2 , which of the following functions could be an algebraic representation of g(x) ?
Answer: D. [tex]g(x) = (x-b)^2[/tex]
Explanation:
If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.
Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.
So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]
Solve the equation 3x/3x-1 + 2/x = 1
Answer:
2/7=0.285714
Step-by-step explanation:
3x/3x-1+2/x=13x2+2(3x-1)/xx(3x-1)=13x2+6x-2/xx(3x-1)=13x2+6x-2=xx(3x-1)3x2+6x-2=3x2-x6x-2=-x6x=-x+26x+x=27x=2x=2/7=0.285714If x^4 - y^4 = 24, and x^2 - y^2 = 8, what is the value of x^2 + y^2 ?
Show work
Answer:
Step-by-step explanation:
U
Answer:
3
Step-by-step explanation:
[tex]x^4-y^4=(x^2)^2-(y^2)^2=(x^2-y^2)(x^2+y^2)\\24=8(x^2+y^2)\\x^2+y^2=\frac{24}{8}\\x^2+y^2=3[/tex]
Which of these expressions are equivalent and how?
Answer:
d. -4 -8 —> -4 + (-8)
Step-by-step explanation:
[tex] - 4 + ( - 8) \\ - 4 - 8[/tex]
[tex] - 4 - ( - 8) = - 4 + 8 \\ - 4 + ( - 8) = - 4 - 8[/tex]
I hope I helped you^_^
Mia, jade, and Amelia sell car wash tickets. Jade sells 8 more tickets then Mia. Amelia sells twice as many tickets as Mia. The friends sell a total of 296 tickets. How many tickets does each friend sell?
Answer:
Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.
Step-by-step explanation:
You can solve this question by coming up with equations for each friend and then substituting them into the equation M + J + A = 296
Jade sells 8 more tickets than Mia, so Jade's equation for how many tickets she sold is the amount of tickets that Mia sold + 8:
J = M + 8
Amelia sells twice as many tickets as Mia, so her equation is the amount of tickets Mia sold * 2:
A = 2 * M
Now we can substitute these equations into the overall one.
M + (M + 8) + (2M) = 296
Now we can combine like terms and solve for M.
2M + 8 + 2M = 296
4M + 8 = 296
4M = 288
M = 72
We now have the amount of tickets Mia sold, so we can insert this number into the equations for Amelia and Jade.
J = M + 8
J = 72 + 8
J = 80
A = M * 2
A = 72 * 2
A = 144
So Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.
The solution is Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of tickets sold by Mia , Jade and Amelia be M , J and A respectively
Total number of tickets = 296
So , M + J + A = 296 be equation (1)
Now , Jade sells 8 more tickets then Mia
So , J = M + 8 be equation (2)
Subtracting 8 on both sides , we get
M = J - 8 equation (3)
Now , Amelia sells twice as many tickets as Mia
So , A = 2M be equation (4)
Substituting the value of J and A in equation (1) , we get
M + ( M + 8 ) + 2 M = 296
4M + 8 = 296
Subtracting 8 from both sides , we get
4M = 288
Divide by 4 on both sides , we get
M = 72
The number of tickets sold by Mia = 72
Substituting the value of M in equation (2) and equation (4) , we get
J = M + 8
J = 80
The number of tickets sold by Jade = 80
A = 2M
A = 144
The number of tickets sold by Amelia = 144
Hence , The number of tickets sold by Mia is 72 tickets, Jade is 80 tickets, and Amelia is 144 tickets
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
Convert 13.86° to degrees/minutes/seconds
Answer:
13,51,36.00
Step-by-step explanation:
Pam makes 5 litters of apple juice she saves 0.5 litter of apple for dinner and puts the rest in bottles. If each bottle holds 0.75 liter how many apples of apple juice can pam fill?
Answer:
6
Step-by-step explanation:
5L - 0.5 = 4.5
Pam is putting 4.5L into bottles
4.5/0.75 = 6
0.75L = 1 bottle
x2
1.5L = 2 bottles
x3
4.5L = 6 bottles
Radium-221 has a half-life of s. How long will it take for of a sample to decay?
Answer:
The answer is 82.109 sec.
Step-by-step explanation:
Cinco múltiplos del 12
Answer:
60 Sana po makatulong pa brainlest please
Help please!! I will mark brainilist and give a lot of points.
This is Pythagorean theorem.
Formula: a^2+b^2=c^2
When I say ^2 I mean to the power of 2.
The question is asking me to solve for a.
Then give me b and c which is b = 17 1/3 and c = 16.
How do I solve for a when b is greater than c? Won’t that give me a negative a? You can’t have a negative a right?
Unless I’m wrong.
Please help my solve this!!!!! :D
Answer:
what the first guy said
Step-by-step explanation:
keep adding by 2 and end up with 22
Hello there,
I just looked into the question and you are absolutely right whatever you inferred.I think the question might be wrong.The value of c should be greater than b.I guess it will like this:[tex]b = 16 \: \: \: c = 17 \frac{1}{3} [/tex]The values should be like this.I am solving the equation by this:[tex] {a}^{2} = {c}^{2} - {b}^{2} \\ = > {a}^{2} = {(17 \frac{1}{3}) }^{2} - {(16)}^{2} \\ = > {a}^{2} = {( \frac{52}{3} )}^{2} - {(16)}^{2} \\ = > {a}^{2} = ( \frac{52}{3} - 16)( \frac{52}{3} + 16) \\ = > {a}^{2} = ( \frac{52 - 48}{3} )( \frac{52 + 48}{3} ) \\ = > {a}^{2} = \frac{4}{3} \times \frac{100}{3} \\ = > {a}^{2} = \frac{400}{9} \\ = > a = \sqrt{ \frac{400}{9} } \\ = > a = \frac{20}{3} \\ = > a = 6 \frac{2}{3} [/tex]So, the value of a is [tex]a = 6 \frac{2}{3} [/tex]Hope you could get an idea from it.
Doubt clarification - use comment section.
For each value of U determine whether it is a solution to 35>24+u
What is 75.65 rounded to the nearest whole number?
put the number eight million, two hundred eleven thousand, four hundred nine into the place value chart, then write the number in standard and expanded form.
Henry is investing at a continuously compounded annual interest rate of 4.4%. How many years will it take for the balance to triple? Round your answer up to the nearest whole number, and do not include units in your answer.
The number of years it would take the amount to triple is 25 years.
The formula that would be used to determine the number of years it would take the balance to triple is:
FV = PV x [tex]e^{r}[/tex]N
Where:
n = number of years fv = future value PV = present value e = 2.7182818 r = interest rate3 = [tex]e^{0.044}[/tex]N
Take the log of both sides
log(3) / log(e) / (0.044) = 25 years
A similar question was answered here: https://brainly.com/question/7133042
SectionA
find A and B?
B=
6 9-5
A:
- 10 -4 -8
4 16 6
7
8 4
1 2 -9
19 5 6
9 6
Answer:
B=24
A= I don't know what that means
Step-by-step explanation:
Taryn mowed 9 yards and makes $112.50. How much does Taryn charge
to mow one yard?
How many litres of water can the cylinder hold??
Answer:
1.386 litres of water can the cylinder hold.
Step-by-step explanation:
For a given Cylinder
Given:radius (r) = 7 cm
height (h) = 9 cm
π = 22/7
Now,
Volume of the Cylinder
V = πr²h
V = 22/7 × 7 × 7 × 9 cm
V = 22 × 7 × 9 cm
V = 2 × 11 × 63 cm
V = 2 × 693 cm
V = 1386 cm³
Now, Divide 1386 by 1000
1386/1000 = 1.386 litre water
Thus, 1.386 litres of water can the cylinder hold.
-TheUnknownScientist 72
I need to know what is in the process box, it goes with the formula y=mx+b
Answer:
y= 8.5x - 10
Step-by-step explanation:
I think it is substracting because it's how much remains, if its wrong it could either be 10x - 8.5 or 8.5x + 10
In a certain game, there are only two ways to score points; one way is worth 3 points, and the other is worth 5 points. If Tamsin's total score is 61, which of the following could be the number of 3-point scores that Tamsin had?
Answer:
20 three-point scores
61/3=20 R1
Answer:
7
Step-by-step explanation:
61 divided by 8 = 7 remainder 5
you can do 7 3's and 7 5's which would make 7x3 = 21 + 7 x 5 = 35 21 + 35 = 56
61 - 56 = 5 (add 1 to the amount of 5's)
7 3's and 8 5's
HELPPPPPPPPPPPPPPPPPPP
Answer:
student a because the line has a negative slope not a positive slope
Step-by-step explanation:
On a recent vacation to the Philippines, Sama bought milk from two different stores. What is the difference in price between the two-unit rates for each carton of milk?
and
Derrick earns $14 per hour working at Pizza Palace. What will Derrick's new hourly rate be after a 4.5% raise.
Please solve this correctly. I will give Brainliest.
Answer:
yes because that are true
y is inversely proportional to
[tex]x {3}^{?} [/tex]
y=44 when x=a
Find y when x=2a
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"y" is inversely proportiional to }x^3}{y = \cfrac{k}{x^3}}\qquad \textit{we also know that} \begin{cases} y = 44\\ x = a \end{cases} \\\\\\ 44 = \cfrac{k}{a^3}\implies 44a^3=k~\hfill \boxed{y=\cfrac{44a^3}{x^3}} \\\\\\ \textit{when x = 2a, what is "y"?}\qquad y = \cfrac{44a^3}{(2a)^3}\implies y = \cfrac{44a^3}{8a^3}\implies \blacktriangleright y = \cfrac{11}{2} \blacktriangleleft[/tex]
A standard elevator in a midrise building can hold a maximum weight of about 1 3/4 tons. Assuming an average adult weight of 124 pounds, what is the maximum number of adults who can safely ride the elevator?
Answer: 28 adults
Step-by-step explanation: 1 3/4 tons is 3500 pounds which I divided by 124 pounds which gave me the answer 28
A punch recipe calls for 1 1/2 quarts of sparking water and 3/4 of a quart of grape juice.
How much grape juice would you need to mix with 3 3/4 quarts of sparkling water?
Answer:
15/8 quarts is needed.
Step-by-step explanation:
Hoped this helped.
The ratio of 70 minutes to 2 hours is
Hey there!
70 minutes
= 1 hour 10 minutes
2 hours
= 60 minutes * 2 minutes
= 60 minutes + 60 minutes
= 120 minutes
70/120
= 70 ÷ 10 / 120 ÷ 10
= 7 / 12
Therefore, your answer is: 7:12 OR 7/12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)