Answer:
The other equation is [tex]x + y = 21[/tex]
The length and width are 13 and 8
Step-by-step explanation:
Given
[tex]Perimeter = 42[/tex]
[tex]y = x - 5[/tex]
Required
What is the other equation for the length and width?
x and y represents the length and width respectively.
The perimeter of a rectangle is calculated using:
[tex]Perimeter = 2 * (length + width)[/tex]
In this case, it is:
[tex]Perimeter = 2 * (x + y)[/tex]
Substitute 42 for perimeter
[tex]42 = 2 * (x + y)[/tex]
Divide through by 2
[tex]21 = x + y[/tex]
[tex]x + y = 21[/tex]
Required: The values of length and width
We have that:
[tex]y = x - 5[/tex]
[tex]x + y = 21[/tex]
Substitute x - 5 for y in the second equation
[tex]x + x - 5 = 21[/tex]
[tex]2x - 5 = 21[/tex]
Add 5 to both sides
[tex]2x - 5 + 5 = 21 + 5[/tex]
[tex]2x = 26[/tex]
Divide through by 2
[tex]x = 13[/tex]
Substitute 13 for x in [tex]y = x - 5[/tex]
[tex]y = 13 - 5[/tex]
[tex]y = 8[/tex]
Hence, the length and width are 13 and 8 respectively
A surveyor is trying to find the length of a lake. He finds a baseline distance AB of 125 m. Angle A is measured to be 41.6° and angle B is measured at 124.3°. Find the length of the lake d. Please and Thank you.
Answer:
[tex]d = 340.7m[/tex]
Step-by-step explanation:
See attachment for question illustration
From the attachment, we have:
[tex]AB = 125m[/tex]
[tex]<A = 41.6[/tex]
[tex]<B = 124.3[/tex]
Required
Solve d
First, we need to calculate <C
[tex]<A + <B + <C = 180[/tex] --- angles in a triangle
[tex]41.6+ 124.3 + <C = 180[/tex]
[tex]165.9+ <C = 180[/tex]
Make <C the subject
[tex]<C = 180 - 165.9[/tex]
[tex]<C = 14.1[/tex]
Next, we apply Sine's law to solve for d
[tex]\frac{A}{Sin\ A} = \frac{B}{Sin\ B} =\frac{C}{Sin\ C}[/tex]
In this case:
[tex]\frac{d}{Sin\ 41.6} = \frac{125}{Sin\ 14.1}[/tex]
Make d the subject
[tex]d = \frac{125 * sin\ 41.6}{sin 14.1}[/tex]
[tex]d = \frac{125 * 0.66392621265}{0.24361501178}[/tex]
[tex]d = \frac{82.9907765812}{0.24361501178}[/tex]
[tex]d = 340.663639629[/tex]
[tex]d = 340.7m[/tex]
Hence, the base of the lake is approximately 340.7m
What is quardtric form
Answer:
445
Step-by-step explanation:
Q15) 1.0 marks
Choose the missing term in the below series.
26, 37, 50, 65, 82, ?
Answer:
82
Step-by-step explanation:
Answer:
101
Step-by-step explanation:
from the first one to second one it goes up by 11 then 13 then 15 then 17 then 19
82+19=101
Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. What was the amount of the original deposit?
Answer:
The original amount was: P = $800
Step-by-step explanation:
Given
Interest I = $22.40
Interest rate = r = 2.8% = 0.028
time t = 1 year
Using the interest formula
I = Prt
I = InterestP = Principle or initial valuer = interest rate t = time (years)substituting the values
I = Prt
22.40 = P (0.028) (1) ∵ I = 22.40, r = 2.8% = 0.028, t = 1
P = 22.40 / 0.028
P = $800
Therefore, the original amount was: P = $800
it's D (800.00)
HAVE A NICE DAY
How many 1/3 yard lengths are in 1 yard
Answer:
3
Step-by-step explanation:
1/3 yard lengths times 3 equals 3 (or 1 yard).
There are 3 numbers of 1/3 yard lengths are in 1 yard.
What is the arithmetic operator?A summation, which is the result of adding two or more numbers or quantities, is also known as a sum.
A mathematical operation known as subtraction involves two values that will be subtracted to produce a new value.
Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Division is divide of any two numbers so it will give a new divided value for example 4/2 will gives us 2.
1 yard = 1/3 yard + 1/3 yard + 1/3 yard
The lowest common multiple of the right hand will be 3
So,
1 yard = (1 + 1 + 1)/3 yard
1 yard = 3/3 yards
1 yard = 1 yard
Hence in 1 yard, there is a total of 3 numbers of 1/3 yards.
To learn more about the arithmetic operator
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Can somebody help me ??
Answer:
y = 98
z = 21
Step-by-step explanation:
in the picture, y and 82 are supplementary angles because the are same side interior angles. This means that we can create this equation:
y = 180 - 82
we get y = 98
<Y and <4z + 14 are vertical angles, so we can also say that they are equal to each other. So we can create this equation:
4z + 14 = 98
subtract 14 from both sides:
4z = 84
divide both side by 4 to find z:
z = 21
Answer:
y = 82
z = 21
Step-by-step explanation:
You can get y almost immediately.
82 and y are supplementary. Interior angles on the same side of the transversal = 180
82 + y = 180 Subtract 82 from both sides
y = 180 - 82
y = 98
y and 4z + 14 are equal.
y = 4z + 14 Substitute for y
98 = 4z + 14 Subtract 14 from both sides.
98-14 = 4z
84 = 4z Divide by 4
84/4 = 4z/4
21 = z
The right hexagonal pyramid has a hexagon base with equal-length sides. The lateral faces of the pyramid are all triangles (that are exact copies of one another) with heights of 18 ft. Find the surface area of the pyramid.
Answer:
208
Step-by-step explanation:
The answer is 208 first I multiplied 18x8=144 than 8ft*5=40
40+8=48 than I did 40 +24=64 after that I added 144+64=208 so surface area of the pyramid will be 208ft2
Answer:
352
Step-by-step explanation:
2 L = _____ ml can someone help? :((
Answer:
2000
Step-by-step explanation:
Answer:
2000 ml
Step-by-step explanation:
Find the value of n.
2.8 ÷ n = 0.028
Answer:
100
Step-by-step explanation:
2.8/n = 0.028
2.8/0.028 = n
100 = n
Write the following series in sigma notation. 4 +13 +22 + 31 +40 +49 +58
Answer:
Step-by-step explanation:
Find 56(−4⋅27). Write your answer in simplest form.
Answer:
[tex]-6048[/tex]
Step-by-step explanation:
[tex]---------------------------------[/tex]
[tex]56\left(-4\cdot27\right)[/tex] = [tex]-6048[/tex] [tex]because[/tex]
[tex]---------------------------------[/tex]
[tex]56\left(-4\cdot27\right)[/tex] = [tex]?[/tex]
[tex]\left(-4\cdot27\right)[/tex] = [tex]-108[/tex]
[tex]56\left(-108\right)[/tex] = [tex]?[/tex]
[tex]56\left(-108\right)[/tex] = [tex]-6048[/tex]
[tex]---------------------------------[/tex]
Hope this helps! <3
[tex]---------------------------------[/tex]
More than half of the students were excited about the project. In fact, were excited. If 10 students were not
excited about the project. how many students were excited?
Answer:1/2 divided by 10
Step-by-step explanation:
Which statement(s) describe the graph of the equation x=-2? Select all that apply
Answer:
B, D.
Explanation:
When graphed out it is a vertical line. A vertical line has an undefined slope.
The x intercepts the line at (-2,0).
45% of a number is 180
Step-by-step explanation:
45% of number = 180
=> 100% of number = 180 * (100/45) = 400.
Hence the number is 400.
What is the volume of a cylinder, in cubic centimeters, with a height of 11 centimeters
and a base diameter of 6 centimeters? Round to the nearest tenths place
Answer: V = 311.0
Step-by-step explanation:
Formula: [tex]V = \pi r^2h[/tex]
[tex]V=\pi (3)^2 (11)[/tex]
[tex]V=99\pi[/tex]
V = 311.02
V = 311.0
ERGENT! DUE TODAY! What is the equation in point-slope form of the line that passes through the point (3,-2) and has a slope of 2/3?
(look at image)
Answer:
y = 2/3x - 4
Step-by-step explanation:
The graph shows the number of centimeters a particular plant grows over time. Given the points (0,0) and (5,8), how many centimeters does the plant grow per week?
can someone help me with this problem please?
Answer:
8 cm
m = -------------- This is the desired rate of change, the amount the plant
5 wk grows per 1 week.
Step-by-step explanation:
Moving from point (0, 0) to point (5, 8), we see that the x-coordinate (the 'run') increases by 5 wk and the y-coordinate (the 'rise') increases by 8 cm. Thus we have the rate of change
8 cm
m = -------------- This is the desired rate of change, the amount the plant
5 wk grows per 1 week.
Please help!! I have trouble in math and will give points and thanks for this!!
Answer:
-5
Step-by-step explanation:
You can count backwards from -1.
-1, -2, -3, -4, and then -5 is the blue dot.
The left side of 0 is the negative side. The right side is the positive side.
Hope this helps!
Answer:
-5
Step-by-step explanation:
If you're going backward on the number line then you are in the negative zone because of -1
15
0 23.7
O 25.9
0 27.5
0 29.5
Answer:
Bro just look up trig triangle calculator
Step-by-step explanation
Answer:
27.5
Step-by-step explanation:
sin(33) = 15/x
x=15/sin(33)
Equivalent expressions
Which expressions are equivalent to 4(4a + 5) ?
Choose 3 answers:
16a + 5
16a + 20
12a + 20 + 4a
© 2(8a + 10)
© 16a +5+4
Answer:
16a + 20
12a + 20 + 4a
2(8a+10)
Step-by-step explanation:
Solve for x. Triangles below are similar.
a) 13
b) 10
c) 4
d) 3
Answer:
the answer is 4 (option C)
Step-by-step explanation:
Since the triangles are similar, and in triangle UTV both sides are equal, we can consider QTR also has two equal sides.
therefore, the equation forms:
13x + 3 = 55
13x = 55 - 3
13x = 52
x = 52/13
x = 4
You’ve learned to identify whether a function is even or odd both graphically and algebraically. How does the notation for reflections over the x-axis and over the y-axis relate to the notation for even and odd functions? Remember that if f(-x) = f(x), a function is even, and if f(-x) = -f(x), then the function is odd.
Answer:
Because even and odd are 2 different ways to determine whether or not you get the right answer for the chosen function.
Step-by-step explanation:
Hope this helps!!!
Answer:
For even functions, we take f(-x) to be the starting function. The y-axis reflection of this function is f(-(-x)), which is equal tof(x). So the relationship f(-x) = f(x) means that the function is the same as its y-axis reflection.
For odd functions, there are two reflections that must occur. First, we start with f(-x). The y-axis reflection of this function is f(-(-x)) = f(x). When we apply an x-axis reflection to this result, we get -f(-(-x)) = -f(x). So the fact that f(-x) = -f(x) means that odd functions are the same as sequential reflections across both the x-axis and the y-axis. (The same sequence of reflections also represents a rotation 180 degrees about the origin).
Step-by-step explanation:
The two triangles are similar.
Solve for h.
Give an exact answer.
Answer:
4.5 m
Step-by-step explanation:
if the two triangles are similar than it would mean that zy to xy is same ratio to cb to ab which means that the second triangle is only enlarge version of the first triangle. so divide 7.2 by 1.6 and multiply 1 to get the solution of 4.5
"select all the numbers that are solutions to the equation x^3=27"
The x = ∛27 and x = 3 are solution to the equation x³=27 option (B) and option (C) are correct.
What is a cube root?It is defined as the sum of two or more numbers. The original number is obtained by multiplying the cube root of a number three times; for example, the cube root of x is z.
We have equation:
x³ = 27
Taking cube root both side
∛x³ = ∛27
x = ∛27
x = 3
Thus, the x = ∛27 and x = 3 are solution to the equation x³=27 option (B) and option (C) are correct.
Learn more about the cube root here:
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Please help if possible due today thank you so so much!!
10points!❤️❤️❤️
A teacher asked her students how many pets they own. Here are the results:
The answer would be B. In the sequence;
0,0,1,1,1,1,2,2,2,3,4,4,8
Zero is mentioned twice, and if you take a glance at the other plots, they all have 3 dots above them, whereas answer choice B has 2 which is what we’re looking for.
Robert pays $32.04 for 6 student tickets to the basketball game. What is the cost of each student ticket?
Answer:
$5.34
Step-by-step explanation:
Step-by-step explanation:
$5.34
hope it helps!
......
For a Biology assignment, Lisa collected data on plant growth of a sunflower every week for 9 weeks. When Lisa first planted the sunflower, it was 10 centimeters tall. The time (in weeks) is plotted against the height (in centimeters) as shown below. Using the best-fit line, approximately how tall was the sunflower plant during the fifth week? 33 centimeters 34 centimeters 35 centimeters 30 centimeters
Answer:
I think it was 34 cm because it should be not too long
Step-by-step explanation:
this is from my logic perspective
Q. Penelope is told to clean all the windows at her house. After cleaning 9 windows her job is
30% complete. How many windows does she clean in all?
Answer:
30
Step-by-step explanation:
Proportions!
Please help with math
Answer:
B) 10^0
Step-by-step explanation:
Well when dividing an exponent, you subtract the exponents but keep the base, this is the rule of exponents.
So in this case you got 10^-3/10^-3
SO you subtract the wo exponents and don’t forget to keep the sign
-3-(-3)
or -3+3
so 0
so final answer is 10^0
Answer:
The correct answer is B. 10(0).
Step-by-step explanation:
10^3 =
10 x 10 x 10 =
1,000
-------------------------
1,000 ÷ 1,000 = 1
10(0) = 1
Therefore, the correct answer is B. 10(0).
Hope this helps! :D
Help please help I’ll give brainliest
Answer:
108
Step-by-step explanation:
======================================
Explanation:
Rotate the arrow so that it is pointing up.
Draw a line separating the arrow into a triangle up top and a rectangle below that.
The rectangular portion has area of 6*4 = 24 square units.
-----------------
The triangular portion up to has area of
0.5*(base)*(height) = 0.5*(4+4+4)*(15-6) = 54
The base is 4+4+4 due to the '4's along the bottom of the triangle. The middle 4 might be the trickiest to spot, but keep in mind that rectangles have opposite sides that are the same length.
The height of the triangle is 15-6 since we start with an overall height of 15, and then subtract off 6 (which was the height of the rectangle).
-----------------
Once you know the areas of the triangle and rectangle, you add them up to get 54+24 = 78 square units.
The value 14 along the diagonal portions of the triangle isn't used. This information is probably put in to distract or trick students. However, if you needed to find the perimeter, then you will use the 14's.