Answers
Related Questions
The sum of the measures of two complementary angles exceeds the difference of their measures by 86. Find the measure of the larger angle.
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therefore
Let x = one angle
then
90-x = second angle
.
Now, we construct our equation based on the sentence:
"The sum of the measures of two complementary angles exceeds the difference of their measures by 86°."
x + 90-x = x-(90-x)+86
90 = x-90+x+86
90 = 2x-90+86
90 = 2x-4
94 = 2x
47 degrees = x (first angle)
.
Second angle:
90-x = 90-47 = 43 degrees (second angle) hope it helps
what is the sum of 1/2(4x+4) + (2x+8)
Answers
Answer:
4x + 10
Step-by-step explanation:
1/2 x 4x =2x
2x + 2x =4x
1/2 x 4 = 2
2 + 8 = 10 Answer: 4x + 10
a cylinder has radius 2cm. the volume of the cylinder is 100cmcubed. work out the height of the cylinder, rounded to 2 decimal places.
Answers
Answer: height = 7.96 cm
Step-by-step explanation:
Height = volume / πr^2
h = 100 / π*2^2
h = 7.96 cm
a map is drawn to the scale of 1:1000. find the actual distance between two towns dogo and Dagger which are 55 cm apart
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Answer:
Dogo and Dagger are 55,000 units apart. (I don't know the unit of measurement.)
Step-by-step explanation:
1 : 1000
55 : 55000
Dogo and Dagger are 55000 units apart (Is it kilometers, centimeters? I don't know what unit of measurement it is.)
Which expression is equivalent to (fg)(5)?
A: f(5) x g(5)
B: f(5) + g(5)
C: 5f(5)
D: 5g(5)
Answers
Answer:
f(5).g(5)
Step-by-step explanation:
(fg)=(f.g)
this is how it starts: (fg)(X)= f(x) [g(x)]
x=5
f(5).g(X)
Stephen and Bridget are marking exam papers. Each set takes Stephen 71 minutes and Bridget 2 hours. Express the times Stephen and Bridget take as a ratio in its simplest form.
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Answer: 1:1.69014084507
Step-by-step explanation:
7/10 divided by 2
Please help if available ✌
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Answer:
0.35
Step-by-step explanation:
if you divide them together you get 0.35
Evaluate A^2-B^2 for A=3 and B=-4.
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Answer:
7
Step-by-step explanation:
3^2 = 9
(-4)^2 = 16
16-9= 7
4
3
5
6
Jacob rolls two fair number cubes. Find the probability that the sum of
the numbers he rolls is 8.
A Use the table to find the sample space for
1 2.
rolling a particular sum on two number cubes.
Each cell is the sum of the first number in that
1
row and column.
2
3
B
How many possible outcomes are in the
sample space?
4
5
с
6
Circle the outcomes that give the sum of 8.
D How many ways are there to roll
a sum of 8?
What is the probability of rolling a sum of 8?.
TRY THIS!
Find the probability of each event.
1a. Rolling a sum less than 5.
1b. Rolling a sum of 7 or a sum of 9.
REFLECT
1c. Give an example of an event that is more likely than rolling a sum of 8.
1d. Give an example of an event that is less likely than rolling a sum of 8.
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The diagram represents the factorization of a2+8a+12. A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12. What is the missing number that will complete the factorization? 6 8 12 24
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Answer:
(A)6
Step-by-step explanation:
Given the quadratic expression: [tex]a^2+8a+12[/tex]
We factorize:
[tex]a^2+8a+12=a^2+6a+2a+12\\=a(a+6)+2(a+6)\\=(a+2)(a+6)[/tex]
Therefore, the missing number that will complete the factorization is 6.
Factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.
What is Factorization?Factorization can be defined as a process of resolving a product into factors.
Thus:
a² + 8a + 12
a² + 6a + 2a + 12
(a² + 6a) + (2a + 12)
a(a + 6) +2(a + 6)
(a + 2)(a + 6)
Therefore, factorizing a² + 8a + 12 into (a + 2)(a + 6), the missing number to complete the factorization is: 6.
Learn more about factorization on:
https://brainly.com/question/25829061
Si una persona de lunes a viernes entrena diariamente 1 hora ¿cuanto tiempo debe entrenar el sábado para que el promedio diario de las horas de entrenamiento de los 6 días sea 1,5 horas?
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Answer: 4 horas
Step-by-step explanation:
Una semana (de lunes a viernes) contiene 5 días
Si se entrena 1 hora por día:
1 x 5 = 5 horas (total de horas de entrenamiento de lunes a viernes)
Ese total más el número de horas que se entrena el sábado (x) dividido por 6 (numero de días en la semana incluyendo sábado) debe ser igual a el promedio de horas entrenadas en los 6 días (1.5)
(5+x) /6 =1.5
Despajando x:
5+x =1.5 x 6
5+x =9
x =9-5
x = 4 horas
Please help! Correct answer only please! I need to finish this assignment by today.
One morning, boats from all along the Atlantic coast docked at a busy marina.
What is the experimental probability that the next boat to dock will be from Rhode Island?
Simplify your answer and write it as a fraction or whole number.
P(Rhode Island) =
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Answer:
1/4
Step-by-step explanation:
there are 24 boats in total. out of those 24 boats, six are from rhode island. so 6/24 boats are from rhode island. simplified it will be 1/4 :)
Write the coefficients of x² in each of the following 1) 2+x²+x 2) 2-x²+x³
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Answer:
(1) 1 (2) 0
Step-by-step explanation:
Looking at 1) 2+x²+x;
The coefficient of x is 1 because we see +x in the express which is the same as 1 × x = x.
2) Looking at 2) 2-x²+x³
There is no expression with x but we have x^2 , x^3 . Hence the coefficient of x is 0 because 0×x =0
Answer:
1) 1 and 2) -1
Step-by-step explanation:
1) 2+x²+x
+x² ⇒ coefficient of x² is 12) 2-x²+x³
-x² ⇒ coefficient of x² is -1Helpppp with this asappp plz❤️
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Step-by-step explanation:
1 (b) ( boy, boy), (boy,girl), ( girl,boy ), ( girl, girl )
(c) 4
(d) 2/4 = 1/2
(e) 1/4
2 (a) (1,head), (1,tail), (2,head), (2,tail), (3,head), (3,tail), (4,head), (4,tail)
(b) (A,1) (A,2), (A,3), (B,1), (B,2), (B,3), (C,1), (C,2),
(C,3)
PLS HELP ME!!!! ASAP I WILL MARK BRAINLIEST!!!!!!
Answers
Answer:
(-3)^3 x^5
Step-by-step explanation:
x*x*x*x*x *(-3)*(-3)*(-3)
There are 5 x terms
x^5
There are 3 (-3) terms
(-3)^3
Multiply theses together
(-3)^3 x^5
The right answer is (-3)^3 x^5
please see the attached picture for full solution
hope it helps...
Good luck on your assignment..
PLEASE HURRY!!! What is the value of p in the equation?
One-fourth (8 minus 4 p) + 2 p = 12 Here are the answer choices...
–20
–2
5
10
Answers
Answer:
10
Step-by-step explanation:
took the test on edge
Help me!
A spinner can land on either red or blue. You spin the spinner and then roll a six-sided number cube.
What is the sample space of outcomes?
{(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}
{(R, B), (B, R), (R, 1), (B, 2), (R, 3), (B, 4), (R, 5), (B, 6)}
{BR, 123456}
{1, 2, 3, 4, 5, 6, B, R}
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A sample set contains every possible outcome.
The answer would be:
(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}
The sample space of the outcomes is {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}
How to determine the sample spaceThe sample space of the spinner is:
S1 = {R, B}
The sample space of the six-sided number cube is:
S2 = {1,2,3,4,5,6}
When the two sample spaces are merged together, we have:
S = {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}
Hence, the sample space of the outcomes is (a)
Read more about sample space at:
https://brainly.com/question/5750471
In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to _____ and the measure of angle 1 is_____ degrees. The measure of angle 8 is _____ degrees.
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Answer:
-11
Step-by-step explanation:
Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!
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Answer:
[tex]h=\frac{1452}{7\pi }[/tex]
Step-by-step explanation:
[tex]84=\pi \left(\frac{7}{11}\right)^2h\\\mathrm{Switch\:sides}\\\pi \left(\frac{7}{11}\right)^2h=84\\\frac{49\pi }{121}h=84\\[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}121\\121\cdot \frac{49\pi }{121}h=84\cdot \:121\\49\pi h=10164\\\mathrm{Divide\:both\:sides\:by\:}49\pi \\\frac{49\pi h}{49\pi }=\frac{10164}{49\pi }\\h=\frac{1452}{7\pi }\\or\\h=66.0266[/tex]
Answer:
h=66
Step-by-step explanation:
84=22/7 *(7/11)^2*h
84=22/7*49/121*h
84=(22*49/7*121) * h ( we simplify by 7 and 11)
84=2*7/11 *h
84=14/11 *h
84=14h/11
:14
6=h/11
h=6*11
h=66
Use the Factor Theorem to examine the polynomial p(x)=6x4+x3−45x2+26x+24. Which binomial is a factor of p(x)?
2x+3
(3x-2)
(2x-1)
(3x−4)
Answers
Answer:
(D) 3x−4
Step-by-step explanation:
Factor Theorem
Given a polynomial P(x) and a linear function x-a, If P(a)=0, then the linear function x-a is a factor of P(a).
In Option A:
[tex]L$inear Function =2x+3\\Set 2x+3=0$\\x=-\frac{3}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(-\frac{3}{2})=6(-\frac{3}{2})^4+(-\frac{3}{2})^3-45(-\frac{3}{2})^2+26(-\frac{3}{2})+24\\\\p(-\frac{3}{2})=-89.25[/tex]
In Option B
[tex]L$inear Function =3x-2\\Set 3x-2=0$\\x=\frac{2}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{2}{3})=6(\frac{2}{3})^4+(\frac{2}{3})^3-45(\frac{2}{3})^2+26(\frac{2}{3})+24\\\\p(\frac{2}{3})=22.8[/tex]
In Option C
[tex]L$inear Function =2x-1\\Set 2x-1=0$\\x=\frac{1}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{1}{2} )=6(\frac{1}{2} )^4+(\frac{1}{2} )^3-45(\frac{1}{2} )^2+26(\frac{1}{2} )+24\\\\p(\frac{1}{2} )=26.25[/tex]
In Option D
[tex]L$inear Function =3x-4\\Set 3x-4=0$\\x=\frac{4}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{4}{3} )=6(\frac{4}{3})^4+(\frac{4}{3} )^3-45(\frac{4}{3} )^2+26(\frac{4}{3})+24\\\\p(\frac{4}{3} )=0[/tex]
We can see that only Option D: 3x−4 gives a result of 0. Therefore, by the factor theorem, it is a factor of the polynomial.
the transformation shown is a rotation
true or false
Answers
Answer:
True
Step-by-step explanation:
I need help really bad plsss
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Answer:
0
Step-by-step explanation:
(f-g)(x) = 12-sqrt(x)
plugging in 144, we get 12 - 12 = 0
one could also do f(x)-g(x) which would yield 24-24=0
Prove that
(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A
Answers
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan A = [tex]\frac{sinA}{cosA}[/tex] , cot A = [tex]\frac{cosA}{sinA}[/tex]
Consider the left side
(1 + cotA + tanA)(sinA - cosA)
each term in the second factor is multiplied by each term in the first factor.
1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)
= sinA - cosA + cosA - [tex]\frac{cos^2A}{sinA}[/tex] + [tex]\frac{sin^2A}{cosA}[/tex] - sinA ( collect like terms )
= [tex]\frac{sin^2A}{cosA}[/tex] - [tex]\frac{cos^2A}{sinA}[/tex]
= ( sinA × [tex]\frac{sinA}{cosA}[/tex] ) - ([tex]\frac{cosA}{sinA}[/tex] × cosA )
= sinAtanA - cotAcosA
= right side ⇒ proven
Find the distance between (16,12) and (0,0)
Answers
Answer:
3/4 using equation y2-y1/x2-x1
Step-by-step explanation:
Use the equation y2-y1/x2-x1
x1, y1 x2, y2
(16,12) (0,0)
0-12/0-16= -12/-16= 3/4
Oliver bought a scarf that costs 8 dollars and a watch that costs 9 dollars. At the counter he received a discount. If he paid only 13 dollars, how many dollars was the discount.
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Answer: 4
Step-by-step explanation:8 + 9 = 17 you take what he paid 13 and subtract 13 from 17 and you get 4. 4 is how many dollars off he got.
the area that lies between Z= - 0.42 and Z= 0.42 is
Answers
Answer:
the answer is 0.84
Step-by-step explanation:
assume the two numbers are on a number line and take the absolute value of their difference
Another car is 4 years old And has been valued at 2600
Answers
Answer:
Step-by-step explanation:where is the rest of the question
Un fabricante de ventanas cuadradas cobra a razón de 3 euros por cada metro de marco y 12 euros por el cristal, sean cuales sean las dimensiones.
a)cuanto costara una ventana de 2 metros de lado.
b) por una ventana hemos pagado 60 euros¿cuanto mide su lado?
c)encuentra la expresión que nos de el precio de la ventana en función de las dimensiones y realiza una representación gráfica de esta función.
Answers
Answer:
Givens
The cost of the square windows is 3 euros per meter, and 12 euros for the crystal.If a window has 2 meters side, how much would it cost? (A)Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.
Specifically, the function of the cost is: [tex]C(x)=3x+12[/tex], where [tex]x[/tex] represents meters of sides. (C)
If we paid 60 euros, the dimensions are (B)
[tex]60=3x+12\\60-12=3x\\x=\frac{48}{3}=16[/tex]
The window has 16 meters between the four sides, which gives 5 meters per side.
The graph of the function is attached.
Factor the trinomial by grouping.
6x^2 - 7x-20
Answers
Answer:
(3x+4)(2x-5)
Step-by-step explanation:
You have 6x^2 - 7x-20, you add and take 8x so now you have
6x^2 - 7x +8x -8x -20 now you take 6x^2 and the +8x and factorize
6x^2 +8x = 2x( 3x +4 )
and you have -7x -8x-20 = -15x -20 factorize
-5(3x +4 ) add all up.
2x(3x +4) -5(3x +4) and you have
(3x+4)(2x-5)
which of the following descriptions represents the transformation shown in the image? part 2b
Answers
Answer: b) rotation of 180°, reflection across y-axis
Step-by-step explanation:
The black triangle is in Quadrant IV.
A rotation of 180° will move it to Quadrant II.
The red triangle is in Quadrant I so you must reflect it across the y-axis.