Answers
Answer:
x=11
Step-by-step explanation:
the question would be to find x
3x + 28 + 5x + 52 + 2x - 10=180 (sum of angles in a triangle is equal to 180⁰)
10x + 70=180
10x=180-70
10x=110
x=110/10
x=11
Related Questions
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
Assume that you take out a $3000 loan for 30 months at 8.5% APR. What is the monthly payment? (Round your answer to the nearest cent.)
$
Answers
Answer:
111.35
Step-by-step explanation:
effective rate: .085/12= .007083333333333333
payment=x
[tex]3000=x(\frac{1-(1+.007083333333333333)^{-30}}{.007083333333333333})\\x=111.35[/tex]
Step-by-step explanation:
111.35
Step-by-step explanation:
effective rate: .085/12= .007083333333333333
payment=x
\begin{gathered}3000=x(\frac{1-(1+.007083333333333333)^{-30}}{.007083333333333333})\\x=111.35\end{gathered}
3000=x(
.007083333333333333
1−(1+.007083333333333333)
−30
)
x=111.35
What is the area of triangle in centimeters squared?
Answers
Explanation:
The formula for area of a triangle is:
1/2 • base • height
Use formula with the given dimensions of this triangle:
1/2 • 14 • 16 = 112
(Use the HEIGHT that is PERPENDICULAR to the base)
FINAL ANSWER W/ UNIT OF MEASUREMENT
112 centimeters squared
Hope this helps!
-SpaceMarsh, have a nice day
A man is walking down a very long flight of
steps in a stairwell. He begins at 136 feet
above ground level. He walks down with a
steady rate such that he gets closer to the
ground floor at a rate of 2.8 feet per second.
The man is going to exit the stairwell at the
4th floor, which is the height of 42 feet above
ground level. Let t be equal to the number of
seconds it takes for him to get to the 4th floor.
Set up and solve the equation to find the value
of t. Round your answer to the nearest tenth
of a second.
Answers
Answer:
33.6 seconds
Step-by-step explanation:
if he begins at 136 feet and wants to go to 42 feet, the distance is 94 feet
d = 94
r = 2.8
d = rt; solving this formula for 't':
t = d/r
t = 94/2.8
t = 33.6 seconds
A card deck for a board game has 20 cards, of which 4 are red, 6 are blue, and 10 are purple.
What is the probability of randomly selecting a blue card, then a purple card, without replacement?
Answers
Answer:
6/20 or in simplification, 3/10 would be the correct answer.
30% would also be correct :)
And 0.3
Is 0.01011011101111011111 rational or irrational?
Answers
Answer:
It is rational number.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Hope it is helpful....Find the value of x.
A. 30
B. 60
C. 90
D. 120
Some one else didn’t add a picture
Answers
QUESTION:- Find the value of x.
A. 30
B. 60
C. 90
D. 120
ANSWER:-
ALL ANGLE SUMS HAVE SAME LOGIC OF STRAIGHT LINE ANGLES = 180°
[tex]y + x + y - x = 180[/tex]
[tex]2y = 180 \\ y = 90[/tex]
[tex]2x + y + x = 180[/tex]
[tex]3x + 90 = 180 \\ 3x = 90 \\ x = 30 \degree[/tex]
Answer:
30 degrees
Step-by-step explanation:
2x + y + x = 180
y + x + y - x = 180
3x + y = 180
2y = 180
y = 90
3x + 90 = 180
3x = 90
x = 30
Match the vocabulary word to its correct definition
1. arithmetic sequence
an individual quantity or number in
a sequence
the fixed amount added on to get
2. common difference
to the next term in an arithmetic
sequence
a sequence in which a fixed
3. sequence
amount is added on to get the next term
a set of numbers that follow a
4 term
pattern, with a specific first number
Answers
Answer:
1. Term.
2. Common difference.
3. Arithmetic sequence.
4. Sequence.
Step-by-step explanation:
1. Term: an individual quantity or number in a sequence. For example, 1, 2, 3, 5, 6. The first term is 1 while 5 is the fourth term.
2. Common difference: the fixed amount added on to get to the next term in an arithmetic sequence. For example, 2, 4, 6, 8 have a common difference of 2 i.e (6 - 4 = 2).
3. Arithmetic sequence: a sequence in which a fixed amount such as two (2) is added on to get the next term. For example, 0, 2, 4, 6, 8, 10, 12.... is an arithmetic sequence.
4. Sequence: a set of numbers that follow a pattern, with a specific first number. For example, 1, 2, 3, 4, 5, 6 is a sequence.
Mark is hosting a "Who Dunnit?" party at his house. He plans on taping off a triangular section of his backyard to represent the crime scene. If the sides measure 23 feet, 15 feet, and 32 feet, how much tape will be needed? DO NOT ANSWER JUST TO STEAL MY POINTS!! AND NO CHICKEN NUGGETS!!!!
Answers
Answer:
70 feet
Step-by-step explanation:
as perimeter of triangle =
23+15+32= 70 feet
Answer:
Solution given:
side 1=23ft.
side 2=15ft
side 3=32ft
we have
perimeter=sum of all sides
=23+15+32=70ft
70ft tape will be needed.
Which expression is equivalent to Cube root of 343 x Superscript 9 Baseline y Superscript 12 Baseline z Superscript 6?
7x3y4z2
7x3y6z2
49x3y6z2
49x3y4z2
Answers
9514 1404 393
Answer:
7x^3y^4z^2
Step-by-step explanation:
[tex]\displaystyle\sqrt[3]{343x^9y^12z^6}=\sqrt[3]{(7x^3y^4z^2)^3}=\boxed{7x^3y^4z^2}[/tex]
Answer:
[tex] \small \sf \leadsto \: 7x {}^{3}y {}^{6}z {}^{2} [/tex]
Step-by-step explanation:
[tex] \small \sf \leadsto \: \sqrt[3]{343 \: x {}^{9} \: y{}^{12} \: z {}^{6} }[/tex]
[tex] \small \sf \leadsto \: \sqrt[3]{7x {}^{3}y {}^{6}z {}^{2} } [/tex]
[tex] \small \sf \leadsto \: 7x {}^{3}y {}^{6}z {}^{2} [/tex]
Tasta's bank account was. She deposited a check into her bank account and her new total is. How much was the check that Tasta deposited into her account?
Answers
Answer:
Step-by-step explanation:
New Total equals Previous Total plus the Check value
New Total minus Previous Total equals the Check value
Her new total is - Tasta's bank account was = Check value
The 6 officers of the Student Council are going on a trip to an amusement park. Each student must pay an entrance fee plus $5 for meals. The total cost of the trip is $210. Solve the equation 6(e + 5) = 210 to find the cost e of the entrance fee for each
student.
Answers
-22+14/2(-10)
LAST ONE:)))
Answers
[tex]\huge\textsf {Hey there!}[/tex]
[tex]\mathsf{-22 + \dfrac{14}{2}(-10)}[/tex]
[tex]\mathsf{\dfrac{14}{2}= \boxed{\bf 7}}[/tex]
[tex]\mathsf{= -22 + 7(-10)}[/tex]
[tex]\mathsf{7(-10) =\boxed{\bf -70}}[/tex]
[tex]\mathsf{= -22 + (-70)}[/tex]
[tex]\mathsf{= -22 - 70}[/tex]
[tex]\mathsf{= \boxed{\bf -92}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf -92}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
-92 is the answer.
Step-by-step explanation :
Let's go step by step.
-22 + 14/2(-10)
14/2 is 7, and 7 multiplied by -10 is -70, so we end up with this :
-22 + -70 = -22 - 70
-22 - 70 is -92.
-92 is the answer.
Hope this helps, please mark brainliest!
please help me
if don't know don't answer, if you answer i will report
Answers
Answer:
A.) m = 1.5 | B.) p = -1 | C.) t = 2
Step-by-step explanation:
A.)
[tex]4(m+3)=18\\4m+12=18\\4m=6\\m=3/2=1.5[/tex]
B.)
[tex]-2(p+5)+8=0\\-2p-10+8=0\\-2p-2=0\\-2p=2\\p=-1[/tex]
C.)
[tex]3+5(t-1)=8\\3+5t-5=8\\5t-2=8\\5t=10\\t=2[/tex]
Answer:
(a)=
4(m+3)=18
4m+12=18
4m=18-12
4m=6
m=
[tex] \frac{6}{4} [/tex]
(b)=
-2(p+5)+8=0
-2p-10+8=0
-2p=0+10-8
-2p=2
p=
[tex] \frac{2}{ - 2} = - 1[/tex]
(c)=
3+5(t-1)=8
3+5t-5=8
5t=8-3+5
5t=10
t=
[tex] \frac{10}{5} = 2[/tex]
[tex]please \: mark \: as \: brainliest \: because \: i \: spent \: much \: time \: on \: this \: question[/tex]
PLS SOLVE!! e2 = d^2+f^2 -2df(cosE)
Answers
9514 1404 393
Answer:
e = 25.7 m
Step-by-step explanation:
Put the given numbers in the given formula and do the arithmetic.
[tex]e^2=d^2+f^2-2df(\cos{E})\\\\e^2=11.9^2+18.5^2-2(11.9)(18.5)\cos{114^\circ}\approx 662.946\\\\e\approx\sqrt{662.946}\approx25.74774\\\\\boxed{e\approx25.7\text{ m}}[/tex]
A parallelogram is shown below: A B A 2 foot D с 3 feet Part A: What is the area of the parallelogram? Show your work. (5 points) Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)
Answers
9514 1404 393
Answer:
Part A: 2 ft²
Part B: draw a diagonal (AC, for example); 1 ft²
Step-by-step explanation:
Part A:
The area of a parallelogram is given by the formula ...
A = bh
where 'b' is the length of the base, and 'h' is the perpendicular distance between the bases.
Using the numbers shown on the diagram, the area is ...
A = (3 ft)(2/3 ft) = 3·2/3 ft²
A = 2 ft² . . . . . area of the parallelogram
__
Part B:
Typically, a polygon is partitioned into triangles by drawing diagonals from one of the vertices. It does not matter which one. (In a quadrilateral, only one diagonal can be drawn from any given vertex.) Here, the "base" of each triangle is the same as the base of the parallelogram: 3 feet. The "height" of each triangle is the same as the height of the parallelogram: 2/3 ft.
The area of a triangle is given by the formula ...
A = 1/2bh
A = 1/2(3 ft)(2/3 ft) = (1/2)(3)(2/3) ft²
A = 1 ft² . . . . . . . . area of each triangle
_____
Additional comment
It should be no surprise that the area of each of the two congruent triangles is 1/2 the area of the parallelogram.
y varies inversely as x. y=3 when x=10. Use the variation constant and inverse variation equation to find y when x=6.
Do not type y= in your answer.
Answers
Answer:
5
Step-by-step explanation:
Given :
Y α 1/x
Y = k/x
Where, k = constant of proportionality ;
y = 3 ; x = 10
3 = k / 10
k = 10 * 3
k = 30
Equation becomes :
Y = 30/x
Y =? ; when x = 6
Y = 30 / 6
Y = 5
Helppppppppppppppppppppppppppp the question is post on my page
Answers
A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for
Answers
Answer:
Perimeter: 18.28
Area: 22.28
Step-by-step explanation:
1. Approach
An easy method that can be used to solve the given problem is the partition the given figure into two smaller figures. One can divide this figure into a square and a semi-circle. After doing so, one can find the area of the semi-circle and the area of the square. Finally, one can add the two area together to find the final total area. To find the perimeter of the figure, one can add the lengths of three of the sides of the square and then one can add half of the circumference of the circle to the result. The final value will be the perimeter of the entire figure.
2. Find the circumference of the semi-circle
The circumference of a circle is the two-dimensional distance around the outer edge of a circle, in essence the length of the arc around a circle. The formula to find the circumference of a circle is as follows,
C = 2(pi)r
Since a semi-circle is half of a circle, the formula to find its circumference is the following,
C = (pi)
Where (pi) is the numerical value (3.1415) and (r) is the radius of the circle. By its definition, the radius of a circle is the distance from a point on the circle to the center of the circle. This value will always be half of the diameter, that is the distance from one end of the circle to the other, passing through the center of the circle. The radius of a circle is always half of the diameter, thus the radius of this semi-circle is (2). Substitute this into the formula and solve for the circumference;
C = (pi)r
C = (pi)2
C ~ 6.28
3. Find the area of the semi-circle
The formula to find the area of a circle is as follows,
A = (\pi)(r^2)
As explained earlier, a semi-circle is half of a circle, therefore, divide this formula by (2) to find the formula for the area of a semi-circle
A = ((pi)r^2)/(2)
The radius of this circle is (2), substitute this into the formula and solve for the area of a semi-circle;
A = ((pi)r^2)/(2)
A = ((pi)(2^2))/(2)
A = (pi)2
A = 6.28
4. Find the area and perimeter of the square,
The perimeter of a figure is the two-dimensional distance around the figure. Since the semi-circle is attached to one of the sides of a square, one only needs to add three sides of the square to find the perimeter of the square;
P = 4+4+4
P = 12
The area of a square can be found by multiplying the length by the width of the square.
A = l*w
Substitute,
A = 4*4
A=16
5. Find the area and the perimeter of the figure,
To find the perimeter of the figure, add the value of the circumference to the vlalue of the perimeter of the square;
A = C+P
A = 6.28+12
A = 18.28
To find the area of the figure, add the value of the area of the circle to the area of the square;
A = 6.28+16
A = 22.28
Describe two ways to check whether algebraic expressions are equivalent.
Answers
Find the missing length indicated. Hey can someone help me out?
Answers
Answer:
C) 6
by-step explanation:
Determine the value of x
Answers
Answer:
B is the answer.
Step-by-step explanation:
10
El tiempo aproximado en caminar de tu casa (C) a la de tu amigo (A) pasando por la tienda (T)
es de 14 minutos; Si caminas a la misma velocidad, ¿Cuántos minutos te tomará caminar
directamente a la casa (C) de tu amigo (A)? Redondea al entero más cercano.
500yd
A
700yd
Answers
Respuesta:
10.0 minutos
Explicación paso a paso:
Distancia total recorrida caminando de C a A pasando por T:
500 yardas + 700 yardas = 1200 yardas
Tiempo necesario para recorrer 200 yardas = 14 minutos
Caminando directamente de C a A:
La distancia se puede obtener usando una relación trigonométrica:
Hipotenusa = √ (opuesto² + adyacente²)
Hipotenusa = √500² + 700²
Hipoteno = 860.23252 yardas
Por eso ; Si
1200 yardas = 14 minutos
860.23252 yardas = x
Multiplicar en cruz:
1200x = 12043,255
x = 12043,255 / 1200
x = 10.036 minutos
El tiempo necesario para caminar directamente será: 10.0 minutos
15 POINTS! PLEASE HELP! BRAINLIEST!
What is the probability of flipping a coin 15 times and getting heads 6 times? Round your answer to the nearest tenth of a percent. O A. 19.6% O B. 9.2% O C. 4.2% O D. 15.3% SUBMIT
Answers
Answer:
D. 15.3%Step-by-step explanation:
Total number of outcomes:
2¹⁵ = 32768Number of combinations of getting 6 heads:
15C6 = 15!/6!(15-6)! = 5005Required probability is:
P(6 heads out of 15 flips) = 5005/32768 = 0.1527... ≈ 15.3%Correct choice is D
Answer:
option D
Step-by-step explanation:
Total sample space
= [tex]2^{15}[/tex]
Number of ways 6 heads can emerge in 15 flips
= [tex]15C_6[/tex]
Probability:
[tex]=\frac{15C_6}{2^{15}}[/tex] [tex]= 0.1527[/tex]
Probability to the nearest percent : 15.3%
Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = -1.
Answers
Answer:
The equation of the parabola is y = x²/4
Step-by-step explanation:
The given focus of the parabola = (0, 1)
The directrix of the parabola is y = -1
A form of the equation of a parabola is presented as follows;
(x - h)² = 4·p·(y - k)
We note that the equation of the directrix is y = k - p
The focus = (h, k + p)
Therefore, by comparison, we have;
k + p = 1...(1)
k - p = -1...(2)
h = 0...(3)
Adding equation (1) to equation (2) gives;
On the left hand side of the addition, we have;
k + p + (k - p) = k + k + p - p = 2·k
On the right hand side of the addition, we have;
1 + -1 = 0
Equating both sides, gives;
2·k = 0
∴ k = 0/2 = 0
From equation (1)
k + p = 0 + 1 = 1
∴ p = 1
Plugging in the values of the variables, 'h', 'k', and 'p' into the equation of the parabola, (x - h)² = 4·p·(y - k), gives;
(x - 0)² = 4 × 1 × (y - 0)
∴ x² = 4·y
The general form of the equation of the parabola, y = a·x² + b·x + c, is therefore;
y = x²/4.
BE is a midsegment, Find the value of x. Please
Answers
Answer:
x10
Step-by-step explanation:
BE=1/2 * CD
x=CB/2
x=20/2
x=10
The diameter of a circle is 15 in. Find its circumference in terms of \piπ
Answers
Answer:
15π in
Step-by-step explanation:
In order to solve this, we need to know that the circumference of a circle can be found by using the following formula...
Circumference = dπ (where d is the diameter of the circle)
Therefore the circumference equals...
Circumference = dπ = 15π in
[tex]\boxed{Given:}[/tex]
Diameter of the circle "[tex]d[/tex]" = 15 in.
[tex]\boxed{To\:find:}[/tex]
The circumference of the circle (in terms of π).
[tex]\boxed{Solution:}[/tex]
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:15\:π\:in.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:πd }[/tex]
[tex] = \pi \times 15 \: in \\ \\ = 15 \: \pi \: in[/tex]
Therefore, the circumference of the circle is 15 π in.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
The denominator of a fraction is twice the numerator. If 3 is added to the numerator and 3 is subtracted from the denominator, the new fraction is 7/5. Find the original fraction.
Answers
Answer:
4/8
Step-by-step explanation:
d = 2n
n+3 = 7
d-3 = 5
substitute '2n' for 'd' in d-3=5
2n-3 = 5
2n = 8
n = 4
d = 2(4)
4/8
Find z such that 3.8% of the standard normal curve lies to the left of z. (Round your answer to two decimal places.)
Answers
Answer:
z = 1.77.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area of the normal curve to the left of Z. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Find z such that 3.8% of the standard normal curve lies to the left of z
Thus, z with a z-score of 0.038. Looking at the z-table, this is z = 1.77.
Determine the required value of the missing probability to make the distribution a discrete probability distribution
P(4)=____
X P(x)
3 0.25
4 ?
5 0.39
6 0.15
Answers
======================================================
Explanation:
All of the values in the P(x) column must add to 1.
The value 1 in probability means 100%
Let y be the missing value in the table
0.25+y+0.39+0.15 = 1
y+0.79 = 1
y = 1-0.79
y = 0.21
The probability that x = 4 is 0.21
In other words, P(4) = 0.21
Or that we have a 21% chance of having x = 4 happen.
The area of a parallelogram is 108 square inches. What is the length of the parallelogram if the height is 6 inches
Answers
Answer:
18
Step-by-step explanation:
Hope this help!!!
Have a nice day!!!
