Answer:
12.4 units
Step-by-step explanation:
We have to find the length of the sides of the parallelogram which is calculated using the formula for Distance
= √(x2 - x1)² + (y2 - y1)² where we are given the vertices (x1, y1) and (x2, y2)
For side A
(-5 , -1) (-2, -1)
= √(-2 -(-5))² + (-1 - (-1))²
= √(-2 + 5)² + (-1 + 1)²
= √3² + 0
= √9
= 3 units
For side B
(-2, -1), (-3,-4)
= √(-3 -(-2))² + (-4 -(-1))²
= √(-3 + 2)²+ (-4 + 1)²
= √-1² + -3²
= √1 + 9
= √10 units
= 3.1622776602 units
Approximately = 3.2 units
For side C
(-3,-4), (-6,-4).
= √(-6 -(-3))² + (-4 - (-4))²
= √(-6 + 3)² + (-4 + 4)²
= √-3² + 0²
= √9
= 3 units
For side D
(-5 , -1), (-6,-4)
= √(-6 - (-5))² + (-4 - (-1))²
= √(-6 + 5)² + (-4 + 1)²
= √-1² + -3²
= √1 + 9
= √10 units
= 3.1622776602 units
Approximately = 3.2 units
From the above calculation , we can see that,
side A = side C
side B = side D
The formula for the Perimeter of a Parallelogram is = 2(Side a + Side b)
= 2(3 + 3.2) units
= 2(6.2) units
= 12.4 units
An angle measures 106° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
74°
Step-by-step explanation:
A supplementary angle is when two angles add up to 180°, so 180° - 106° = 74°
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Twyla’s pet cat weighs 8 lb. Her pet hamster weighs 12 ounces. What is the ratio of her cat’s weight to her hamster’s weight? (16oz=1lb)
Answer:
32:3
Step-by-step explanation:
Mrs. Aguirre is going to plant a rectangular garden in her rectangular backyard, as
80 ft.
6 f.
(15 ft.
40 ft.
Yard
Garden
75 ft.
What is the approximate area of the garden?
Ft
Answer:
The answer is below
Step-by-step explanation:
From the image attached we can see that the width of the garden is 6 ft. The length of the garden is the slanting side of the triangle (hypotenuse).
Let x be the length of the garden. The height of the triangle = 40 ft - 15 ft = 25 ft.
The base of the triangle = 80 ft - 75 ft = 5 ft.
The length of the garden is gotten using Pythagoras:
x² = 25² + 5²
x² = 650
x = 25.5 ft.
The area of the garden = length * width = 25.5 * 6 = 153 ft²
Hence the approximate area = 160 ft²
7th Grade Mock EOG - Math Ne
Triangle JKL is an isosceles triangle. Side JL measures 8 inches and side KL measures 17 inches. What is the measure of the side JK?
A. 8 inches
OB. 9 inches
0 C 12 inches
OD. 17 inches
Frelor
please help!
Set up a proportion to solve for x in the following similar triangles.
10x-2x+12=2(3x+5)+2x
Answer: is this pemdas? if not there are no true solutions
Step-by-step explanation:
hope i helped
Answer:
the answer to 10x-2x+12=2(3x+5)+2x is 2
Step-by-step explanation:
step 1.
Open the brackets by multiplying the valves in the brackets by 2:
10x-2x+12=6x+10+2x
step 2.
Add or subtract the like-terms : x values.
8x+12=8x+10
step 3.
substitute by bringing like terms together:
12-10=8x-8x
2=0
ans =2
verify/prove the following trigonometric identity:
(cos(x) + 1)/(tan^2(x)) = (cos(x))/(sec(x) - 1)
An adult elephant that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a
statue that casts a 9 ft shadow.
Answer: Hope this helps!
18 ft
Step-by-step explanation: Good luck :)
This question sounds confusing but if you just look at the numbers it is much easier.
Elephant height: 8 ft
Elephant shadow: 4ft
Statue height: ?
Statue shadow: 9ft
As you can see the elephant's height is double the size of the shadow, if you put those as ratios the statues height will also be double its shadow, from there just double 9ft and you will get your answer. 9x2=18ft
classify the polynomial by Degree and number of Terms. 3x^2y^2 + 2xy^3 - x
Answer:
Degree of polynomial = 4
Number of terms = 3
Step-by-step explanation:
Degree of polynomial = 4
Number of terms = 3
The average person's stride lenghth the distance covered by one step is aproximently 2.5 feet long. How many steps would the average person take to travel 50 feet?
Answer: 20 steps
Step-by-step explanation:
From the question, we are informed that the average person's stride length the distance covered by one step is 2.5 feet long.
To know the steps that the average person would take to travel 50 feet, we simply have to divide 50 feet by 2.5 feet. This will be:
= 50 / 2.5
= 20
This means that an individual will take 20 steps to travel 50 feet
A trap for insects is in the shape of a triangular prism. The area of the base is 45 in and the height of the prism is 3 in. What is the volume of this trap? The volume of the trap is in.
Answer:
17.5 in
Step-by-step explanation:
Solving each equation:
6(-6x+3)=5(1-7x)
Answer x=-2.6
Step-by-step explanation:
6(-6x+3)=5(1-7x)
-36x+18=5-35x
-36x+13=-35x
-5x=13
13/ -5x
x=-2.6
What is the range of the data set shown below?
{ 1, 1, 1, 4, 5, 6, 7, 15}
(6×1)+(1× 100 1 )left parenthesis, 6, times, 1, right parenthesis, plus, left parenthesis, 1, times, start fraction, 1, divided by, 100, end fraction, right parenthesis = 6.16.1
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Select all true statements . (remember the reference angle is the perspective from which the question or you are looking)
A. In a right triangle any angle can be used as the reference angle for sin/cos/tan
B. In a right triangle only the two acute angles can be used as the reference angle for sin/c cos/tan
C. In a right triangle the right angle can be used as the reference angle for sin/cos/tan
D. in any triangle any angle can be used as the reference angle for sin/cos/tan
Tyler is simplifying the expression 6−2x+5+4x . Here is his work:
6−2x+5+4x
(6−2)x+(5+4)x
4x+9x
13x
a. Tyler’s work is incorrect. Explain the error he made.
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A company spent 30% of its annual budget developing a new machine.
If the company's budget was $1200, how much did they spend on the new machine?
The answer questions are
A $42
B $360
C $200
D $4000
Answer:
B $360
Step-by-step explanation:
30% = 30/100 = 0.3
1200*0.3 = $360
Jose saved $39. He then worked all summer and earned 17 times more than what he had saved. How much money did Jose make from his summer job? ASAP
Answer:
$663
Step-by-step explanation:
A roll of nickels have 40 nickels in them. How many nickels are needed to fill 8 coin rolls .. i need help asap
427 is what percent of 305
Answer:
140.00%
Step-by-step explanation:
Step 1: Percentage Formula = Number1/Number2 x 100
Step 2: plugin the 427 and 305 to the percentage formula and we get 427/305 x 100 = 140%
What is
427
out of
305
as a percentage? = 140.00%
Hope this helped a lot
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Please help I need it very soon with in the next 2 minutes
Answer: 27
Step-by-step explanation: Half of the supplementary (180 degree) angle is 90 degrees so we know that the other half is also 90 degrees. so 3x+9=90
Subtract 9 3x=81 divide by 3
x=27
Answer:
27
Step-by-step explanation:
Erika is painting a rectangular painting. The painting has a length of 12 and a width of 10 inches. Use the Distributive Property to decompose the factor 12. Then find the area of the painting.
Given:
Length of the painting = 12 inches
Width of the painting = 10 inches
To find:
The area of the rectangular painting by using Distributive Property to decompose the factor 12.
Solution:
The area of a rectangle is
[tex]A=length\times width[/tex]
So, the area of the rectangular paining is
[tex]A=12\times 10[/tex]
Using Distributive Property to decompose the factor 12, we get
[tex]A=(10+2)\times 10[/tex]
[tex]A=(10\times 10)+(2\times 10)[/tex]
[tex]A=100+20[/tex]
[tex]A=120[/tex]
Therefore, the area of the rectangular painting is 120 square inches.
What is the area of this.
Which is a solution of the equation?
2x - y = 5
O 7
O (3,-1)
O (2,-1)
O (1,2)
Answer:
I'm not sure what the answer is, but try Photo math. it helps me so much with my equations, and it'll even tell you the steps to get the answer.
Find the value of c
-x^2 -22x + c
Answer:
−(x+11− square root of 121+c )(x+11+ square root of 121+c)
Step-by-step explanation: hoped I helped
the graph of y=x^2-4x is shown. name a zero of the function below
Answer:
0 and 4
Step-by-step explanation:
y = x^2 - 4x can be factored as follows: y = x(x - 4).
We find the zeros by setting this factored form equal to zero and solving for x:
x(x - 4) = 0, or x = 0, or x = 4.
The two zeros of this function are 0 and 4.
I need number 1 and 2 and 3 and 4 pleaseeeeer
Answer:
this is a test im not helping
Step-by-step explanation:
Can someone please verify if these are the right answers? Thank you!