The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 5
Brainliest, please!
Step-by-step explanation:
90 + 39 + (7x + 16) = 180
7x + 145 = 180
7x = 180 - 145
7x = 35
x = 5
Answer:
x=5
Step-by-step explanation:
Sum of the angles in a triangle is 180.
7x +16 +39 +90= 180
7x + 125 = 180
7x = 180-145
7x=35
x=35/7
x=5
19. Julio is paid 1.4 times his normal hourly rate for each hour he works over
30 hours in a week. Last week he worked 35 hours and earned $436.60. Write
and solve an equation to find Julio's normal hourly rate, r. Explain how you
know that your answer is reasonable.
Julio's normal hourly rate (r) is equal to $11.8 per hour.
Let the normal hourly rate be r.Translating the word problem into an algebraic expression, we have;
Since Julio worked for 35 hours, it simply means that he was paid r amount of dollars per hour for a period of 30 hours;[tex]30r[/tex] ......equation 1
Also, for the remaining number of hours (35 - 30), he was paid he was paid 1.4r amount of dollars per hour;[tex](35 - 30)[/tex] × [tex]1.4r[/tex] [tex]= 5[/tex] × [tex]1.4r[/tex]
[tex]5[/tex] × [tex]1.4r = 7r[/tex] .....equation 2
Next, we would equate the expressions to the total amount of money earned by adding eqn 1 and eqn 2.
[tex]30r + 7r = 436.60\\\\37r = 436.60\\\\r = \frac{436.60}{37}[/tex]
Julio's normal hourly rate, r = $11.8 per hour.
Therefore, Julio's normal hourly rate (r) is equal to $11.8 per hour.
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What is the answer for 76 = -4b
Answer:
-19 = b
Step-by-step explanation:
76 = -4b
Divide each side by -4
76/-4 = 4-b/-4
-19 = b
Answer:
b = -19
Step-by-step explanation:
76 = -4b
shift -4 to the left hand side and when you shift -4 divides 76
76/-4 = b
-19 = b
PLEASE I REALLY CAN'T THINK OF ANYTHING ELSE
list 2 differences between y = sin x and y = cos x
Answer:
- sin(x) is the ratio of the opposite leg to the hypotenuse in a right triangle, while cos(x) is the ratio of the adjacent leg to the hypotenuse in a right triangle.
-The graph of y = sin(x) at x = 0 starts at the origin, and then increases, while the graph of y = cos(x) starts at a max, and then decreases.
Here's a 3rd: sin(x) is the cofunction of cos(x), which means that sin(x) = cos(90-x). This also shows that they are different.
Figure ABCD - Figure EFGH.
F 2.5 G
5.0 C
B
3.0
E
4.0
A 8.0D
Perimeter of ABCD = 20
Perimeter of EFGH ?)
Enter
Answer:
10
Step-by-step explanation:
1.5+2.5+2+4=10 b/c the figure is the half of the biger lines
The perimeter of the quadrilateral EFGH is 10 units.
What is perimeter?Perimeter is the total length of the boundary of a closed shape. The perimeter of the polygon is measured as the sum of all the sides.
For the given situation,
The diagram shows the two quadrilaterals ABCD and EFGH.
The quadrilaterals are similar, ABCD ≅ EFGH. So their ratios are equal.
Here BC = 5.0, FG = 2.5
⇒ [tex]\frac{FG}{BC} =\frac{2.5}{5.0}[/tex]
⇒ [tex]\frac{1}{2}[/tex]
So the lengths of EFGH is half than that of ABCD.
Then the lengths of EFGH are 2.5, 2.0, 4.0, 1.5
Thus the perimeter of EFGH is
Perimeter = Sum of all sides
⇒ [tex]Perimeter = 2.5+2.0+4.0+1.5[/tex]
⇒ [tex]Perimeter = 10.0[/tex]
Hence we can conclude that the perimeter of the quadrilateral EFGH is 10 units.
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Find the distance between the origin and the points (-8,4)
Hi, I'm happy to help!
To solve this, we need to find the distance from the origin to the y coordinate value, x coordinate value, then use the Pythagorean Theorem.
The origin of a graph (center) has the coordinates (0,0), so this will be our other coordinates.
First, let's find the x coordinate distance change. We move from the x coordinate 0, to the x coordinate -8, so we move 8 x units.
Next, let's find the y coordinate distance change. We move from the y coordinate 0, to the y coordinate 4, so we move 4 y units.
Now that we have these two leg lengths, let's imagine this as a right triangle. Moving from the origin, we draw a line from (0,0), to (-8,0). Then, we draw a line from (-8,0) to (-8,4). Now, draw a direct line from (0,0), to (-8,4). We have the length of the first(8) and second(4) lines, and we need to find the third line length to find our answer. To do this, we use the Pythagorean Theorem, which states that a²+b²=c². This says that, in a right triangle, the square of the two shorter lengths equals the square of the longest length. The longest length is what we are solving for.
Let's say x distance is a, and y distance is b. Now, apply the values:
8²+4²=c²
64+16=c²
80=c²
Now, we need to find the value of c, so we need to find the square root of 80.
√80=c
8.9442...=c
Since the number goes on forever, we need to round it. For this example, let's round it to the nearest tenth, which would be 8.9.
To summarize the distance between the origin and the coordinates (-8,4), is about 8.9.
I hope this was helpful, keep learning! :D
The distance of the point (5, -1) from the y axis is *
Answer:
5 units
Step-by-step explanation:
draw a horizontal line from the point (5, -1) to the y-axis: y=-1, it hits the y-axis at (0, -1). the distance between the two is 5 units
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Answer:
(2 + 1)^2 + 2 = 10 - 6
Falso
Step-by-step explanation:
The left side
11
does not equal to the right side
4
, which means that the given statement is false.
False
it is a polynomial or not write step in step
Answer:
√(3x)-2y+7
here √(3x) means, √3×√x
√x = x^(1/2)
now, now the exponent is 1/2, which means it's not a polynomial
225125 in base 6 divided by 101 in base 6
225125₆/101₆ = 2225₆
One way to arrive at this is to convert both given numbers to base 10, compute the quotient in base 10, then convert back to base 6.
101₆ = 1×6² + 0×6¹ + 1×6⁰ = 37
225125₆ = 2×6⁵ + 2×6⁴ + 5×6³ + 1×6² + 2×6¹ + 5×6⁰ = 19,277
So we have
225125₆/101₆ = 19,277/37 = 521
Next,
521 = 2×216 + 89 = 2×6³ + 89
89 = 2×36 + 17 = 2×6² + 17
17 = 2×12 + 5 = 2×6¹ + 5×6⁰
and so
521 = 2×6³ + 2×6² + 2×6¹ + 5×6⁰ = 2225₆
Or you can use the long division algorithm. Division in base 6 is the same as in base 10, except numerals range from 0 to 5 instead of 0 to 9. See if you can follow this diagram (replaced with an attachment)
The ratio of the length and the breadth of rectangle is 2:1.If the rectangle is 12m long, find the its breadth
Answer:
6m
Step-by-step explanation:
The ratio of the length and the breadth of rectangle=2:1
Let length be 2x, then breadth = x
Now,
Length(l)=12 m
or,2x=12m
or,x=6m
x=breadth=6m
9.2 x 6.07 please answer with the way how you are doing
Answer:
answer of this question is 55.844
Step-by-step explanation:
may this answer is helpful for you
if an object is bought for rupees 90 and then sold for a loss of 15% how much was it sold for
Answer:
76.50
Step-by-step explanation:
We are given the fact that you bought an object for 90 dollars, and in which you sold said object for a loss of 15%, we are then asked how much would that object be sold for.
To find the answer, we need to subtract the original amount by the percent loss, so :
90 - 15%
15% of 90 is 13.5, therefore :
90 - 13.5
76.5
The puppy needs to catch a train that is moving at 8 km/h. She is 100m away and running at 10 km/h. How far will the train have traveled before the puppy is able to jump on?
Answer:
400 meters
0 meters if the puppy can jump really really far ha ha ....
P = 10000x - 100
T = 8000x
10000x - 100 = 8000x
2000x = 100
x = 1/20 hr
60/20 = 3 minutes
Step-by-step explanation:
Find the value of x to the nearest tenth.
Answer:
Step-by-step explanation:
Using Pythagoreus Theorem
In the smaller rectangle
2²+4² = h²
20 = h²
h = √20
h = 2√5
Therefore two sides of the rectangle will 2√5
No using pythagoreus theorem in the bigger triangle
x² + (2√5)² = 9²
x² = 9² - (2√5)²
x² = 81 - 20
x = √61
x = 7.8102496759
When rounded off to nearest tenth the hundreth digit is in 0-5 range
x = 7.81
Please click thanks and mark brainliest if you like
Algebra what a subject please write down all the rules when using algebra ill provide some below that I know
5xA = 5a (when times number by a letter the letter gets put next to the number)
Step-by-step explanation:
Algebra is a topic that covers linear equations, system of equations, sequences, exponential functions, polynomials, quadratic, exponents, radicals, functions, and more. I'm going to give use algebraic formulas and not all the topics.
Like Terms Rule: If two terms that share the same variable are separated by a binary operation, we can combine them.
For example, look at
[tex]6 + 7x + 9x[/tex]
We can combine 7x and 9x.
[tex]7x + ( + 9x) = 16x[/tex]
Add the coeffceint and keep the variable.
16x+6
Solving Algebraic Equations:
Alot questions in Algebra asks you to isolate a variable. For example,
[tex] \frac{x}{2} + 6 = 9[/tex]
First step, is to get the x variable by itself. To do this subtract 6 by both sides. Why? Because Subtraction is a inverse operation off addition. Remeber the Golden Rule of Algebra,
WHAT WE DO TO ONE SIDE. WE DO TO THE OTHER.
[tex] \frac{x}{2 } = 3[/tex]
Now, we multiply both sides by 2 because multiplying is the inverse operation of division and vice versa.
[tex]x = 6[/tex]
If we plug this in, it is indeed true.
[tex] \frac{6}{2} + 6 =[/tex]
[tex]3 + 6 = 9[/tex]
Some other rules are
If we multiply a term by a one term, we only affect the term that is being multiplied, for example
[tex]2x \times 3[/tex]
2 and 3 are both real numbers so we just multiply 2 and 3. and put x behind the answer.
[tex]2 \times 3 = 6(x)[/tex]
[tex]2x \times 3 = 6x[/tex]
When we multiply 2 variables, we put the variable near each other. For example,
[tex]x \times y = xy[/tex]
When we add term, we add the coeffcient parts
[tex]y + y = 1y + 1y = 2y[/tex]
Know that
[tex]y = 1y[/tex]
When we multiply same term variables, we get
[tex]x \times x = {x}^{2} [/tex]
There is more formulas for Algebra. But these are the basicis.
What is the volume of a right square pyramid with a height of 3cm and a base that measures 8cm by 8cm?
Answer:
64 cm^3
Step-by-step explanation:
Volume of a square pyramid is given by (side)^2*(height)/3. The volume of the pyramid in question is (8)^2*(3)/3=64 cm^3
The table below shows some inputs and outputs of the invertible function with domain all real numbers.
Find the following values:
Thanks :D
Answer:
f⁻¹(-2) = 3 and f⁻¹(1) = 0.
Step-by-step explanation:
By the definition of inverse functions:
[tex]\displaystyle \text{If } f(a) = b\text{, then } f^{-1}(b) = a[/tex]
From the table, note that f(3) = -2.
Then by definition, f⁻¹(-2) = 3.
Likewise, f(0) = 1.
Then by definition, f⁻¹(1) = 0.
WORKED EXAMPLES
Try Vertical Angle Problems
ZC and Dare vertical angles.
m_C=° and mZD=(-3x +80)°
What is mZC
Enter your answer in the box.
Answer:
M<C = 20°
Step-by-step explanation:
Because they’re vertical angles, that means they’re equal to each other so:
m<C = m<D
x = -3x + 80
x + 3x = 80
4x = 80
x = 20
Since m<C equals x, that means m<C is 20°
Reza was very sick and lost 15% of his original weight. He lost 27 pounds. What was his original weight?
Answer:
180
Step-by-step explanation:
Let x be the original weight
x* 15% = 27
.15x = 27
Divide each side by .15
.15x/.15 = 27/.15
x =180
Answer:
180 pounds
Step-by-step explanation:
W=27/15%
W=180 pounds
Jenn starts out with $2000 in her bank account. On average, she spends $150 a week from her account. At that rate, how many weeks will it take her to run out of money?
Answer:
About 13 weeks
Step-by-step explanation:
Help mee whats the answerr :( Q: The midpoint of the line segment with the coordinates (9, -8) and (-2, 1) is _
Answer:
(3.5, - 3.5)
Step-by-step explanation:
Using the Midpoint theorem, we have
x=(9-2)/2=7/2=3.5
y=(-8+1)/2=-7/2=-3.5
help do y’all know this! Please if u do i need the answer
9.4 × [tex]10^{2}[/tex]
1) Move the decimal point 2 times to left in the number so that number, 940 so it's between 1-10: 9.4 or 9.40
2) After we moved our decimal point to the left, the decimal count would be 12 and that we moved 2 places to the left
3) We know that the notation is a x [tex]10^{b}[/tex]
a=9.4 and 6=2
9.4 × [tex]10^{2}[/tex]=a x [tex]10^{b}[/tex]
I hope I've helped!
Answer:
9.4x10^8
Step-by-step explanation:
940 million looks like
940,000,000. in scientific notation you would move the decimal left 8 spaces
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The Hurricane Hunters took the following measurements from a hurricane over several days as it developed. Using the graph, what would be the wind speed of a hurricane with an air pressure of 937 kPa?
Answer:
Aroun 203 knots.
Step-by-step explanation:
we look at the x axis and find 937 kPa. Since it's in between 930 and 940 we find a estimate for it. we then move up until we reach the line that was graphed. we check what the y coordinate is, which is around the 203 mark
y+1=3/4(x+3) in general form pls??
Answer:
Step-by-step explanation:
y+1 =(3/4)x+9/4
y=(3/4)x+1/4
Answer:
3x - 4y + 5 = 0
Step-by-step explanation:
The equation of a line in general form is
Ax + By + C = 0 ( A, B, and C are integers )
Given
y + 1 = [tex]\frac{3}{4}[/tex] (x + 3) ← multiply through by 4 to clear the fraction
4y + 4 = 3(x + 3)
4y + 4 = 3x + 9 ( subtract 4y + 4 from both sides )
0 = 3x - 4y + 5 , that is
3x - 4y + 5 = 0 ← in general form
COULD A KIND SOUL PLEASE HELP ME OUT?????!!!!!!!!!!!!!!!
In the triangle shown ,AB =2x +9 and BC=5x–12. Find the value of x.
show how you go the answer so I can see if it makes sense!!!
Answer:
In the given triangle, AB=BC
Now, 2x+9=5x-12
=> 5x-2x=12+9
=> 3x=21
=> x=21/3
=> x=7
Therefore, the value of x is 7.
David has a part-time job. He earns $9.40 per hour. How much will he earn when he works 9 hours?
Answer:
$84.60
Step-by-step explanation:
$84.60 is what david will earn in 9 hours becuz 9.40 times 9 is 84 dollars and 60 cents
In ΔABC, the measure of ∠C=90°, AC = 40, BA = 41, and CB = 9. What is the value of the tangent of ∠B to the nearest hundredth? *WILL MARK BRAINLIEST*
Answer:
4.44
Step-by-step explanation:
The tangent of B is the relation of the opposite cathetus to the lying cathetus
tg B= AC/CB= 40/9= 4.44
The value of the tangent of angle B is 4.4.
What is the tangent of an angle?In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.
Given that, a right triangle Δ ABC, the measure of ∠C = 90°, AC = 40, BA = 41, and CB = 9. We need to find the value of the tangent of ∠B,
So, here,
The opposite side = AC and the adjacent side = CB
So, tan B = AC / CB = 40/9 = 4.4
Hence, the value of the tangent of angle B is 4.4.
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PLEASE HELP, i’ll give brainly to correct answer
Good morning,
Have a great day ahead
HELPPPP area of triangle
Answer:
20.66 cm^2
Step-by-step explanation:
area =1/2 AxB sine C
=1/2 x11x8 x sine 152
=11x4x0.46947156279
20.65674876258 cm^2
=20.6567cm^2
rounding it to the nearest hundredth we get,
20.66 cm^2
