In this exercise we have to use the knowledge of polygon areas to calculate the area of each of the informed objects, so we have to:
1) [tex]h = 19.1 in[/tex]
2) [tex]a = 6.7 ft[/tex]
3) [tex]e = 2.3 m[/tex]
4) [tex]y = 9.8 cm[/tex]
5) [tex]o = 71.6 ft[/tex]
6) [tex]e = 15.3 in[/tex]
7) [tex]y = 41.5 m[/tex]
8) [tex]o = 13.7 cm[/tex]
9) [tex]p = 18.5 ft[/tex]
10) [tex]s = 25.8 in[/tex]
11) [tex]b = 61.3 m[/tex]
12) [tex]n = 6.2 cm[/tex]
Then each of the figures will have its own area formula that corresponds to:
1) For the rectangle we find that:
[tex]14/11 = h/15\\h = 19.1 in[/tex]
2) For the rectangle we find that:
[tex]5/a = 9/12\\a = 6.7 ft[/tex]
3)For the rectangle we find that:
[tex]3.7/6.5 = e/4.0\\e = 2.3 m[/tex]
4) For the triangle we find that:
[tex]10/8 = s/13\\s = 16.3 cm\\6/8 = y/13\\y = 9.8 cm[/tex]
5) For the triangle we find that:
[tex]n/70 = 53/88\\n = 42.2 ft\\o/70 = 90/88\\o = 71.6 ft[/tex]
6) For the triangle we find that:
[tex]t/9.1 = 11.2/5.7\\t = 17.9 in\\e/9.1 = 9.6/5.7\\e = 15.3 in[/tex]
7) For the triangle we find that:
[tex]u/48 = 43/74\\u = 27.9 m\\y/48 = 64/74\\y = 41.5 m[/tex]
8) For the triangle we find that:
[tex]6.2/11.8 = t/10.1\\t = 5.3 cm\\o/10.1 = 16.0/11.8\\o = 13.7 cm[/tex]
9) For the triangle we find that:
[tex]30/p = 13/8\\p = 18.5 ft[/tex]
10) For the trapezoid we find that:
[tex]20/s = 12/15.5\\s = 25.8 in[/tex]
11)For the triangle we find that:
[tex]l/46 = 125/75\\l = 76.7 m\\b/46 = 100/75\\b = 61.3 m[/tex]
12)For the triangle we find that:
[tex]5.1/4.3 = r/9.8\\r = 11.6 cm\\n/9.8 = 2.7/4.3\\n = 6.2 cm[/tex]
See more about areas at brainly.com/question/1631786
Please help this is my fifth time asking this question please answer it correctly with explanation
Step-by-step explanation:
There are two attachments to this post. The first attachment shows the numbered angles formed through the intersection of the transversal, t, into the parallel lines, m and n, which will be used to determine how each angle relates to other angles.
First attachment:The corresponding angles in the first attachment are:
∠1 and ∠5
∠2 and ∠6
∠3 and ∠7
∠4 and ∠8
Corresponding angles have the same measure.
The same-side exterior angles are the pair of angles that are outside the parallel lines, and on the same side of the transversal. In the first attachment, the same-side exterior angles are:
∠1 and ∠8
∠2 and ∠7
These angles are supplements of each other, meaning that the sum of their measure equal 180°.
Second Attachment:
Given parallel lines, m and n that are cut by a transversal, t.
The angle that has a measure of ∠(10x + 5)° is a supplement of ∠(5x + 25)°. In order to solve for the value of x, we must establish the following equation:
m∠(10x + 5)° + m∠(5x + 25)° = 180°
10x° + 5° + 5x° + 25° = 180°
Combine like terms:
15x° + 30° = 180°
Subtract 30 from both sides:
15x° + 30° - 30° = 180° - 30°
15x° = 150°
Divide both sides by 15:
15x°/15 = 150°/15
x = 10°
Verify whether we have correct value for x by substituting its value into the established equation:
m∠(10x + 5)° + m∠(5x + 25)° = 180°
10(10)° + 5° + 5(10)° + 25° = 180°
100° + 5° + 50° + 25° = 180°
180° = 180° (True statement).
Therefore, we have the correct value for x = 10°.
m∠(10x + 5)° = 105°
m∠(5x + 25)° = 75°
Identify the vertex of the parabola represented by the equation y=−2x2+8x−1.
(−4, −65)
(4, −1)
(2, 7)
(−2, −25)
Answer:
it is correct but -65 is not correct
Find the domain and range of the following function f(x) = 51x - 21 + 4
Domain. [4,8) Range: (-00,00)
Domain. (4,00) Range: (-00,00)
Domain (-00,00) Range [4,00)
Domain. (-00,00) Range: (4,00)
Answer:
my gosh, hirap kaya niyan, pareho lang ta u d alam sagot
HELP!!
Lenor and Juan go to school together after leaving school Lenor drove 12 miles to get to his house and Juan drove 35 mile
get to his house. Based on the picture below what is the shortest distance from Lenor's house to Juan's house. (show your
for full credit)
a= distance Lenor drove
Lenor
b distance Juan drove
c=distance between
Lenor and Juan
Juan
A box of cereal states that there are 84 calories in a 3/4
-cup serving. What is the unit rate for calories per cup?
Answer:
It is 112 calories per cup of cereal.
Step-by-step explanation:
multiply 3/4 by 4 and youll get 3 and them multiple 84 by 4 and you'll get 336. Divide 336 by 3 and youll get your answer.
Question 7 50 points
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
1f 2×4 -3׳ 12k is divided by × - 3 the remainder is 21 find the value of k
(4, 7); y = 3x + 6 plz help me
y=3x+6.
y=3x-5
I did it with a parallel line
What’s x?
Answer:
I pretty sure it is F.1cm
the ball started at the 5 yard line. what is the position of the ball after these two plays
Answer:
you have to show a diagram or I can't help you
Answer this question for me ASAP
Answer:
Option A: (It's just that the y-intercept and slope are in different spots.)
Line in (y=mx+b) form is y = 2x + 4
Slooe is 2
y-intercept is 4
Step-by-step explanation:
Slope-intercept form is written as y=mx+b, where m is slope and b is y-intercept.
By looking at the graph, we can already tell that the y-intercept is positive 4, since the line crosses the y-axis at that point.
Now use rise/run to find slope. (Remember that rise is movement up or down, and run is movement left or right.) With this in mind, the slope is 4/2, and if we simplify it, it's 2/1 (or basically just 2). Because we go upwards 4 units and to the right 2 units.
Hope this helps :)
Write the inequality.
The sum of negative 3 and a number is no more than two
Answer: -3+x<2
Step-by-step explanation: can't be greater than 2.
When determining domain it is important to work from
Answer:
use graphs
Step-by-step explanation:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
a 4-pack of frozen waffles costs 2.67 what is the unit price rounded to nearest cent?
Answer:
2.67 is the answer
Step-by-step explanation:
tell me if i am rong
please help solve for RN
Answer:
I guess...
Step-by-step explanation:
Since QR and PN are parallels, I think what happens in MN and MP is proportional, so:
RN = x
8 is to 10 as
5 is to x
8 * x = 5 * 10
8x = 50
x = 50 / 8
x = 6.25
RN = 6.25
ABCD is a parallelogram and X and Y are any point on CD and AD respectively. Prove that triangle AXB and triangle BYC are equal in area. Prove that
Answer:
See answer below
Step-by-step explanation:
ABCD is a parallelogram Given
BC ≅ AD; AB ≅ DC opposite sides of a parallelogram ≅
Δ AXB = 1/2 (AB)(AD) Formula for the area of a Δ
Δ BYC = 1/2 (BC) (DC) Formula for the area of a Δ
1/2 (AB)(AD)= 1/2(BC)(DC) Substitution
∴ Area of Δ AXB = Area of ΔBYC
2. A house costs $30,000. A buyer is given a 1/10 discount. How much money does the buyer save?
Answer:
3000
Step-by-step explanation:
On an airplane the passengers may have chicken vegetable or tomato soup
Half of the passengers choose the Chicken soup
A third of the passengers choose tomato soup
What fraction of the passengers chose soup?
There are 240 passengers on the airplane
How many passengers chose vegetable soup?
What have you learned about geometric relationships?
PLEASE HELP 15 POINTS
Answer:
that you can define a tangent relationship between a line and an arc. If the adjoining elements change, the tangent relationship is maintained between the elements. Geometric relationships control how a sketch changes when edits are made.
Step-by-step explanation:
i took this i guess and it was gud
HELP WILL GIVE THE MOST POINTS IT LETS ME NEED ANSWER SOON
Answer:
c. -5x - 2 = -42
Step-by-step explanation:
Have a nice day! :-)
Answer:
-5x-2 = -42
Step-by-step explanation:
less than means you do this after what comes next
Product of a number and -5
-5x
Two less than
-5x -2
is means equals
-5x-2 = -42
(20pts) I need to know who is incorect and why
Answer:
i thig it is hj
Step-by-step explanation:
jk
There are 5 boxes and each box weighs x pounds. Write the expression for the total weight of the
boxes.
Answer:
5x pounds
Step-by-step explanation:
Here's the solution if you need, hope it's help
FInd the value of T - triangle measerments
JK=JH
[tex]\\ \sf\longmapsto 10t=7t+15[/tex]
[tex]\\ \sf\longmapsto 10t-7t=15[/tex]
[tex]\\ \sf\longmapsto 3t=15[/tex]
[tex]\\ \sf\longmapsto t=15/3=5[/tex]
A line passes through point A (12,18). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A . Use point A to write an equation of the line in point-slope form.
The answer is 18, 0
You gotta trust me
Write the equation of the line with x-intercept 3 and passing through the point (5.4)
Answer: y=(1/5)m+3
Step-by-step explanation:
Start with the standard form of an equation of a straight line: y=mx+b, whre m is the slope and b the y-intercept (the value of y when x=0).
y=mx+b
We know b (3), so:
y=mx + 3
To find the slope, m, we can use the one given point, (5,4):
y=mx + 3 for (5,4) would be:
4 = m*5+3
1 = 5m
m = (1/5)
y=(1/5)m+3
$4 is what percent of 50
Answer:
8%
Step-by-step explanation:
4/50 = 0.08 = 8%
Steps to solve "what percent is 4 of 50?" If you are using a calculator, simply enter 4÷50×100 which will give you 8 as the answer.
How can you use factoring to solve quadratic equations in standard form?
Step-by-step explanation:
The roots or the zeroes of a quadratic equation are its x-intercepts, which are the points on the graph where it crosses the x-axis. When a quadratic equation is in standard form, ax² + bx + c, the usual goal is to find the binomial factors that could help us determine the roots or solutions to the given equation. Once you find the factors, then you will use the Zero-Product Property to solve for the solutions.
For example, if you were given the following quadratic equation in standard form, x² + 6x + 8 = 0, and were tasked to find its factors.
x² + 6x + 8 = 0
where a = 1, b = 6, and c = 8:
In order to find the factors of the given quadratic equation, we must find the factors with a product ac, and sum b.
Using 2 and 4 as possible factors produce a product that is equal to
product of ac: 2 × 4 = 8
sum of b: 2 + 4 = 6.
Therefore, the factors of the given quadratic equation, x² + 6x + 8 = 0 are:
(x + 2) (x + 4).
Using the Zero-Product Property, where it states that for any real numbers, u and v, if uv = 0, then u = 0 or v = 0.
Thus, setting the binomial factors of the given quadratic equation to zero will provide the solutions.
(x + 2) (x + 4)
x + 2 = 0
x + 2 - 2 = 0 - 2
x = -2
x + 4 = 0
x + 4 - 4 = 0 - 4
x = -4
Therefore, the solutions to the quadratic equation, x² + 6x + 8 = 0 are x = -2, and x = -4.
How many 2 digit numbers have unit digit 6 but are not perfect squares
9514 1404 393
Answer:
7
Step-by-step explanation:
Of the 9 2-digit numbers ending in 6, only 2 are perfect squares: 16 and 36. The other 7 are not perfect squares.
What is 2x2, I keep on getting it wrong. Can u please help, Thank you
Answer:
4
Step-by-step explanation:
.4(x + 7)
.4 + 7x- 5x -6
Answer:6/5x=7/x+2 Two solutions were found : x =(10-√940)/12=(5-√ 235 )/6= -1.722 x =(10+√940)/12=(5+√ 235 )/6= 3.388 Rearrange: Rearrange the equation by subtracting what is to the right
Step-by-step explanation:
The dimensions of a rectangular prism are 3 cm, 15 cm, and k cm. Its volume is
90 cm. Find the value of k.
Answer:
k = 2 cm
Step-by-step explanation:
3 x 15 x k = 90 cm^3
45 x k = 90 cm^3
k = 90/45 = 2 cm