Solve −4(x + 10) − 6 = −3(x − 2).
A. −40
B. −46
C. −52
D. 52
Answer:
x = -52
Step-by-step explanation:
-4(x+10)-6=-3(x-2)
Distribute -4 on the left side and -3 on the right side
-4x-40-6=-3x+6
Combine Like terms
-4x-46=-3x+6
Add 46 both sides
-4x=-3x+52
Add 3x to both sides
-1x=52
Divide by -1
x=-52
Hope this helps!!!! :)
What is the tan of 30 degrees
Answer:
The value of tan 30 degrees is 0.57736.
Step-by-step explanation:
Tan 30 degrees in radical form is = [tex]\frac{1}{\sqrt{3} }[/tex]
We know [tex]\sqrt{3}[/tex] = 1.732
So, tan 30 degrees = [tex]\frac{1}{1.732}[/tex]
= 0.57736
The answer is 0.57736.
Please find attached the exact value reference triangle .
The required value of tan 30 degrees is 1/[tex]\sqrt{3}[/tex].
Given the trigonometric function tan 30 degrees.
The tangent of 30 degrees, written as tan(30°), can be evaluated without a calculator by using the trigonometric properties of special angles.
In a right triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
For a 30°- 60°- 90° right triangle, the side opposite the 30-degree angle is half the length of the hypotenuse, and the side adjacent to the 30-degree angle is equal to the length of the hypotenuse multiplied by
[tex]\sqrt{3}[/tex]/2.
In a 30°-60°-90° triangle, the tangent of 30 degrees is given by:
tan(30°) = (opposite side) / (adjacent side)
tan(30°) = (1/2) / ([tex]\sqrt{3}[/tex]/2)
tan(30°) = 1/[tex]\sqrt{3}[/tex] = [tex]\sqrt{3}[/tex]/3.
tan (30°) = [tex]\sqrt{3}[/tex]/3
Multiply both numerator and denominator by [tex]\sqrt{3}[/tex] gives,
tan(30°) = 3/3[tex]\sqrt{3}[/tex].
Divide both numerator and denominator by 3 gives,
tan(30°) = 1/[tex]\sqrt{3}[/tex].
Therefore, the tangent of 30 degrees is 1/[tex]\sqrt{3}[/tex].
Hence, the required value of tan 30 degrees is 1/[tex]\sqrt{3}[/tex].
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. Which ordered pair in the form (a, b) is a solution of this equation? 4a – 5b = 24 A. (0, 6) B. (6, 0) C. (–5, –2) D. (–2, –5)
The decimal of 2 quarters, 1 dime, and 4 pennies
15 meters or 15 yards
The total amount of money that your mother distributes to you and your two siblings if she gives each person x dollars
In which figure is DE\\BC ? figure 1 figure 2 figure 3 figure 4
In Figure 4, in the triangle ΔABC, DE is parallel to BC, i.e., DE||BC.
A triangle is one of the most basic geometric figures, having 3 sides, 3 angles, and 3 vertices.
By the theorem of the triangle, if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. Let's check the theorem holds for which triangle in the given figures.
Figure 1:
[tex]\frac{AD}{BD} = \frac{6}{15} =\frac{2}{5}[/tex]
[tex]\frac{AE}{CE} = \frac{6.6}{17.5} =\frac{66}{175}[/tex]
Since, [tex]\frac{AD}{BD}\neq \frac{AE}{CE}[/tex],
Here, in triangle ABC, DE is not parallel to BC.
Figure 2:
[tex]\frac{AD}{BD} = \frac{5}{12}[/tex]
[tex]\frac{AE}{CE} = \frac{6}{15} =\frac{2}{5}[/tex]
Since, [tex]\frac{AD}{BD}\neq \frac{AE}{CE}[/tex],
Here, in triangle ABC, DE is not parallel to BC.
Figure 3:
[tex]\frac{AD}{BD} = \frac{4}{12} =\frac{1}{3}[/tex]
[tex]\frac{AE}{CE} = \frac{5}{16}[/tex]
Since, [tex]\frac{AD}{BD}\neq \frac{AE}{CE}[/tex],
Here, in triangle ABC, DE is not parallel to BC.
Figure 4 :
[tex]\frac{AD}{BD} = \frac{5.5}{15}[/tex]
[tex]= \frac{55}{150}\\ = \frac{11}{30}[/tex]
[tex]\frac{AE}{CE} = \frac{6.6}{18}[/tex]
[tex]=\frac{66}{180}\\ =\frac{11}{30}[/tex]
Since, [tex]\frac{AD}{BD} = \frac{AE}{CE}[/tex],
Therefore, in triangle ABC, DE is parallel to BC, i.e., DE||BC.
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What is the value of the function at x = 3?
Answer:
this goes to jaden rashid, jaden your all grown up now and so is ur cat, u will always be a legend
Step-by-step explanation:
the answer is 5
How do you do long divison with 2 digits?
Ken drew a pair of intersecting rays and marked the angle between them.
Which of these statements best compares the pair of intersecting rays with the angle?
-The rays and the angle have two endpoints each.
-The rays and the angle have their lines extending in opposite directions.
-The rays have a number of points lying on them and the angle has only one point lying on it.
-The rays extend infinitely and the angle is made by the rays which have a common endpoint.
...?
Answer:
-The rays extend infinitely and the angle is made by the rays which have a common endpoint.
Step-by-step explanation:
A ray starts from one point and extends in one direction forever.
An angle is the space between two intersecting lines at or close to the point where they meet. In this case two rays intersect each other at one point
Megan is trying to remember her password for her computer. All she can remember is that it is 2 letters followed by 3 digits.
How many possible combinations are there for Megan's password?
A. 1,560
B. 1,676
C. 468,000
D. 492,804
E. 676,000
The number of permutations possible is 468000.
What is permutation?A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
The first two places are occupied by letters.
The last 3 places are occupied by numbers.
The permutation for the first 2 places is: [tex]26P_2[/tex]
The permutation for the last 3 places is: [tex]10P_3[/tex]
The total permutation is:
[tex]26P_2 \times 10P_3\\\\=468000[/tex]
Hence the correct option is option C.
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HELP I BEG OF YOU!!!!!!!!!!!
An orchard has 24 rows of apple trees. there are 35 apple trees in each row. how many apple trees are in the orchard?
Solve for the variable y: a=by+2
Find the area of the blue sector of the circle. Round to the nearest hundredth.
A)4.19 cm2
B)6.22 cm2
C)8.31 cm2
D)9.67 cm2 ...?
Answer:
A) 4.19 cm^2
Step-by-step explanation:
Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2
I have 28 toys that are solar 2/7 of them are Disney characters how many solar toys are Disney characters
Final answer:
To find out how many solar toys are Disney characters, multiply the total number of toys by the fraction of toys that are Disney characters.
Explanation:
To find out how many solar toys are Disney characters, we need to multiply the total number of toys by the fraction of toys that are Disney characters. In this case, 2/7 of the toys are Disney characters. So, we can calculate:
Number of solar Disney toys = Total number of solar toys × Fraction of Disney toys
Number of solar Disney toys = 28 × 2/7 = 8
Therefore, there are 8 solar toys that are Disney characters.
12+5x-8=12x-10
Help me solve it step by step
The solution to -35x = -105 is -3.
True
False
Joe builds a toy house in the shape of a rectangular prism. If he paints each of its faces with a different color of paint, how many colors will he require?
4
5
6
8
Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like reading mystery stories, the number of students at the library who liked mystery stories was _____. (only put numeric values, no other symbols)
a car wheel has a 14 inches radius. through what angle does the wheel turn when the car rolls forward 2 ft???? ...?
Indicate the method you would use to prove the two 's . If no method applies, enter "none".HL
LA
LL
HA
None
Answer : HA
Indicate the method you would use to prove the two 's
HL -> It represents Hypotenuse Leg. In the figure , the hypotenuse are same but not the length.
LA --> It represents Leg Angle . In the figure , the corresponding legs and angle are not same.
LL --> It represents Leg Leg . In the figure , the corresponding legs are not same.
HA--> It represents Hypotenuse Angle . In the figure , In the figure , the corresponding hypotenuse and angles are same.
if 2 people bring 3 pies each and then 3 more people show up, how much pie will each person get?
Ben buys a car for $50,000. The value of the car decreases at a rate of 4% per year. How much will the car be worth in 3 years?
Answer:
The answer is 44,237.
Step-by-step explanation:
50000×0.96×0.96×0.96
=44236.8
when rounded to the nearest dollar it is 44,237.
Deserts advance linearly, in easily mappable patterns.
True
False
This answer is false.
an antenna is on top of an 80 foot building, 12 feet from the edge. from a point 60 feet from the base of the building,the angle from ground level to the top of the antenna is 68 degrees. find the height of the antenna to the nearest foot
Santosh is four more than three times the age of his cousin. If Santosh is 49 years old, then what is the age of his cousin?
Identify the two operations, in their appropriate order, needed to solve this equation.
Subtract and then multiply.
Add and then multiply.
Subtract and then divide. < is it this one?
Add and then divide.
Answer:
The answer is Subtract and then divide
Hope this helped.
Which function will produce the same graph as the function shown below?
y=(x+1)(x-3)
a. y+3=x(x-1)
b. y-3=(x-1)^2
c. y=x^2+2x+3
d. y=x^2-2x-3 Which function will produce the same graph as the function shown below?
y=(x+1)(x-3)
a. y+3=x(x-1)
b. y-3=(x-1)^2
c. y=x^2+2x+3
d. y=x^2-2x-3
Answer:
d
Step-by-step explanation:
Jerome walked 2/3 mile in the morning and 11/12 mile in the evning. How many miles did he walk in all?
A.)19/24
B.)7/12
C.)1 and 7/12
D.)1 and 1/3