Step-by-step explanation:
parallel
8g - 3 = 25
8g = 25 + 3
8g = 28
g = 28/8
g = 14/4
f + 30 + 72 = 180 (straight angle = 180°)
f = 180 - 30 - 72
= 78
If 2^3x-1 = 32 then x = (image included)
a. 5
b. -2
c. 2
d. 4/3
e. -4
Answer:
x is equal to two.
Step-by-step explanation:
We know that 32 is a power of 2. It is in fact two to the power of five. So we can re-express that as:
[tex]2^{3x - 1} = 2^5[/tex]
Because they have the same constant as a base, we can toss the base altogether, and equate the exponents:
[tex]3x - 1 = 5\\3x = 6\\x = 2[/tex]
Solve the triangle given that a=19 b=16, c=11.
Answer:
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Step-by-step explanation:
From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.
If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:
Angle A
[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)
[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]
[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]
[tex]A \approx 87.395^{\circ}[/tex]
Angle B
[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)
[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]
[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]
[tex]B\approx 57.271^{\circ}[/tex]
Angle C
[tex]C = 180^{\circ}-A-B[/tex]
[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]
[tex]C = 35.334^{\circ}[/tex]
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Please help me with my homework!
Linda used a number line to simplify an expression. Which expression did Linda simplify based on the number line?
A. -9+1
B. -1-9
C. -1+(-8)
D. -1-(-8)
Ted's taxi service has cabs that can seat 4 people and vans that can seat 15 people. The taxi service can transport a maximum of 134 people in its 17 units. How many vans does Ted's Taci Service have in it's fleet?
A. 19
B. 11
C. 9
D. 6
Answer:
D. 6
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Answer:
the material when you get a chance can you send me the material
anyone can u please help me? lol
Answer:
-1/30
Step-by-step explanation:
just subtract then divide.
(this is simplest form)
nvm
my bad, i forgot some steps you can delete this answer if wanted.
Add the expression. Write the sum in simplest form 3 /x+2 + x+1 / x^2 + 5x + 6
Answer: ?
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{3}{x+2} +\frac{x+1}{x^2+5x+6} \\=\frac{3}{x+2} +\frac{x+1}{x^2+3x+2x+6} \\=\frac{3}{x+2} +\frac{x+1}{x(x+3)+2(x+3)} \\=\frac{3}{x+2} +\frac{x+1}{(x+3)(x+2)} \\=\frac{3(x+3)+x+1}{(x+3)(x+2)} \\=\frac{3x+9+x+1}{(x+3)(x+2)} \\=\frac{4x+10}{(x+3)(x+2)} \\=\frac{4x+10}{x^2+5x+6}[/tex]
[tex]=\frac{2(2x+5)}{(x+3)(x+2)}[/tex]
A house sits on a rectangular piece of land. Two of the sides measure 104 feet each. If all four sides add to 576 feet, how long is each of the other two sides? Write and solve an equation.
Answer:
Each of the other side is 184 feet.
Step-by-step explanation:
Given that:
Length of two sides each = 104 feet
Total length of all sides = 576 feet
Let,
x be the length of other one side.
Length of other two sides will be 2x.
Total length of sides = 2x + 2(104)
576 = 2x + 208
2x = 576 -208
2x = 368
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{368}{2}\\x=184[/tex]
Hence,
Each of the other side is 184 feet.
enter a positive value for n that makes the statement true: 1xn is less than 1 but greater than 0
Answer: 1*1/2
Step-by-step explanation: 1*1/2 equals 1/2 which is greater than zero but less than 1
The given statement is true for all real values between 0 and 1.
Compound inequality:Important information:
The given expression is [tex]1\times n[/tex].The value of the expression is less than 1 but greater than 0.The compound inequality is:
[tex]0<1\times n<1[/tex]
[tex]0<n<1[/tex]
Therefore, the given statement is true for all real values between 0 and 1.
Find out more about 'Compound inequality' here:
https://brainly.com/question/17086294
С
a
Find all the missing elements:
B
A = 40°
a = 8
А
b = 7
b
B = [?]° C = [ ]° c = [ ]
Round to the nearest tenth.
C С
Answer:
B=34.2
C=105.8
c=12.0
Step-by-step explanation:
find B using the sine rule
(sin40÷8)=(sinB÷7)
rearrange
sin B= (sin40x7)÷8
sin B=0.562
make sure to use your calculator
then press shift sin to find B
B= 34.2°
to the nearest tenth means to 1 decimal place
sum of angles in a triangle is 180
so 180-(40+34.2)=105.8°=C
use sine rule again to find c
(sin105.8÷c)=(sin40÷8)
rearrange
c= (sin 105.8x8)÷sin40
c=12.0
Part2
Please help I’ll make u brainly
Answer:
someone game me that same question but sadly i wasn't able to get the answer sorry for the inconvience
Step-by-step explanation:
Answer:
3. 2nd degree. Leading term:
[tex] {3x}^{2} [/tex]
Leading coefficient: 3x
Part 1:
[tex] {2x}^{2} + 11x + 15[/tex]
Part 2:
[tex] {3x}^{2} - x - 2[/tex]
Part 3:
[tex] - {x}^{2} + 12x + 17[/tex]
(Part 3 should be correct, double check it, I think it cancels out the minuses in the part 2 equation?)
P.S. I forgot to solve the equations on this and the first page, don't forget that and I can leave another answer for those if you need!
Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location.
How far is Harper from home, if the map shows the distance as 3 inches?
6
x
−
5
y
=
14
Find
x
when
y
=
2
Answer:
4
Step-by-step explanation:
In an hyperbola, the fixed points that have a constant difference in distance from the center are called _
A. Asymptotes
B. Centers
C. Foci
D. Vertices
Please select the best answer from the choices provided
OA
OB
OC
OD
The correct answer is C. Foci.
A hyperbola is defined as the flat open curve resulting from the intersection of a right circular cone from a plane not parallel to any of its origins. The line joining the foci of the hyperbola is called the base line.
The perpendicular to the middle of the baseline is called the center line. It becomes apparent that all points of the center line are equidistant from the foci.
Learn more in https://brainly.com/question/15697124
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Which expression is a factor of 64x^2−25?
8x−5
32x−25
32x−5
8x−25
Answer:
A
Step-by-step explanation:
Answer:
[tex](8x-5)^{2}[/tex]
Step-by-step explanation:
Rewrite 64[tex]x^{2}[/tex] as [tex](8x)^{2}[/tex]
[tex](8x)^{2}[/tex]−80x+25
Rewrite 25 as 5^2.
(8x)^2−80x+5^2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
80x=2⋅(8x)⋅5
Rewrite the polynomial. [tex](8x)^2[/tex]−2⋅(8x)⋅5+[tex]5^{2}[/tex]
Factor using the perfect square trinomial rule [tex]a^{2}[/tex] −2ab + [tex]b^{2}[/tex]= [tex](a-b)^{2}[/tex], where a=8x and b=5.
[tex](8x-5)^{2}[/tex]
circle the staement below 1530 and 12530
Answer:
1530 < 12530
Step-by-step explanation:
i12530 is a bigger number than 1530
Answer:
what statement?
One-third x + one-sixth y = 2. When x is 3, 1 x + StartFraction 3 Over 6 EndFraction y = 6. One-half x + three-fourths y = negative 3. When x is negative 2, negative 1 x minus StartFraction 6 Over 4 EndFraction = 6. Negative 1 y = 12.
Continue solving the system of equations.
What is the solution to the system?
(
,
)
Answer:
(12, -12)
Step-by-Step:
I got it right on Edge 2021
Answer:
its 12,-
12
Step-by-step explanation:
can someone help with 9-12 please ?
Answer:
9-12 is -3
Step-by-step explanation:
PRE CALC HELP!!! 100 PTS AND BRAINLIEST
(the one I chose isn't correct I just accidentally pressed it)
Hello!
[tex]\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}[/tex]
To begin, we can solve the inequality:
sin(x) > cos(x)
Divide both sides by cos(x):
sin(x) / cos(x) > 1
tan(x) > 1
x > π/4
However, we can also solve it the other way to produce the end to the interval:
sin(x) > cos(x)
1 > cot(x)
x < 5π/4
Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.
Answer:
π/4 < x < 5π/4.
A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop (combined with the brakes) after the end of a run. Suppose that the main chute deploys with probability 0 . 95, and that if the main fails to deploy, the backup deploys with probability 0.999.
Required:
a. What is the probability that one of the two parachutes deploys?
b. What is the probability that the backup parachutes deploys?
Answer:
a. 0.99995 = 99.995% probability that one of the two parachutes deploys
b.0.04995 = 4.995% probability that the backup parachutes deploys
Step-by-step explanation:
a. What is the probability that one of the two parachutes deploys?
Either the first deploys(with probability 95%), or the first does not deploy(probability 5%) and the second does(probability 99.9%). So
[tex]p = 0.95 + 0.05*0.999 = 0.99995[/tex]
0.99995 = 99.995% probability that one of the two parachutes deploys
b. What is the probability that the backup parachutes deploys?
The first does not deploy(probability 5%) and the second does(probability 99.9%). So
[tex]p = 0.05*0.999 = 0.04995[/tex]
0.04995 = 4.995% probability that the backup parachutes deploys
How do you write 3% as a fraction
Answer: 3/100
Step-by-step explanation:
Answer:
3/100
Step-by-step explanation:
six less than six times a number is 12
Answer:
x = 3
equation: 6x - 6 = 12
Step-by-step explanation:
6x - 6 = 12
aka:
6x + -6 = 12
+6. +6
6x = 18
/6. /6
x = 3
check: 6(3) - 6 = 12
18 - 6 = 12
12 = 12
Which fraction and decimal forms match the long division problem? 15) 8.000 75. 50 45, 50 45 5 O A. 8 and 0.53 15 O B. 8 15 and 0.53 O C. 15 8 and 0.53 O D. 15 8 and 0.533
Answer: The answer is A
Step-by-step explanation:
Use the four-step method in problem-solving to solve the problem.
Ashley owns 14 acres of land which she rents to a Timber grower for $3131 per acre per year. Her property taxes are $882 per acre per year. How much profit does she make on the land each year?
A. $56,182
B. $42,952
C. $31,486
D. $44,716
Answer:
A. $56,182
Step-by-step explanation:
$3131 x 14= $43834
$882 x 14= $12348
$43834 + $12348= $56,182
$56,182 x 1= $56,182
Kendrick walked of a mile in of an hour. How fast did he walk? _____miles per hour
Answer:
He walked at 1 mile per hour
Step-by-step explanation:
Answer:
He walked at 1 mph
Step-by-step explanation:
Select all of the following tables which represent y as a function of x.
Answer:
the second and third one
Step-by-step explanation:
two y's that are the same can't have 2 outcomes
Help me please! I am in desperate need
Answer:
C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.
Step-by-step explanation:
The binomial theorem is given as:
[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]
[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].
*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]
Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.
In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=60°, and JH = 80 feet. Find the length of IJ to the nearest foot.
Answer:
46.2
Step-by-step explanation:
46.188= 46.2
Round 723,084 to the nearest thousand.
Answer:
723,000
Step-by-step explanation:
Answer:
723,000
Step-by-step explanation:
Nearest thousand → 1000
723,000