1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yulyashka [42]
3 years ago
11

Helppppp it’s an emergency!!!!!

Mathematics
1 answer:
Feliz [49]3 years ago
8 0

Answer:

Equation: 2(x+8)+2(3x-5)+23 = 126

x = 12.125m

AB = 20.125m

EF=31.375m

Step-by-step explanation:

The equation of the perimeter of this shape can be written as:2(x+8)+2(3x-5)+23 = 126 (Sides with the same number of dashes are equal in length)

Which becomes:

2x+16+6x-10+23=126

8x+29=126

8x=97

x= 12.125

Since AB = x+8, we can substitute to get the length of AB:

x+8 = 12.125+8

=20.125

We can also use substitution to solve for the length of EF:

3x-5=3(12.125)-5

=31.375

Hope this helps :)

You might be interested in
There was a blizzard. Snow was falling at a rate of 4 ½ inches per hour. If the snow kept accumulating at the same rate, how lon
Oxana [17]
So just divide 27 by 4 1/2 or 4.5, you should get 6 so it would take 6 hours for the snow to get to 27 inches
6 0
2 years ago
Find the value of d 2d - 5 = 17
tester [92]
<span>Simplifying 2d + -5 = 17 Reorder the terms: -5 + 2d = 17 Solving -5 + 2d = 17 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2d = 17 + 5 Combine like terms: -5 + 5 = 0 0 + 2d = 17 + 5 2d = 17 + 5 Combine like terms: 17 + 5 = 22 2d = 22 Divide each side by '2'. d = 11 Simplifying d = 11 </span>
7 0
4 years ago
Read 2 more answers
Find the three angles of the triangle with the given vertices: P(1,1,1), ????(1,−3,2), and ????(−3,2,5).
velikii [3]

Answer:

The three angles of the triangle are 90, 35.67 and 54.33 degrees.

Step-by-step explanation:

One way to find the angles of the triangle with vertices (1, 1, 1), (1, -3, 2), (-3, 2, 5) is using the definition of the <em>dot product</em> of two vectors, defined as:

a . b = |a| |b| cosФ [1]

Where |a| and |b| are the norms of vectors <em>a</em> and b, and cosФ is the cosine of the angle between either vector <em>a</em> and <em>b</em>.

If a = [ \\ a_{1}, a_{2}, a_{3} ] and b = [\\ b_{1}, b_{2}, b_{3}], then the dot product is simply a number (not a vector) obtained from:

a . b = \\ a_{1}*b_{1} + a_{2}*b_{2} + a_{3}*b_{3}

The norm of a vector (its length) is, for instance, |a| = \\ \sqrt{{a_{1}^2 + {a_{2}}^2 + {a_{3}}^2}, for a vector in \\ R^{3}.

Having all that into account, we can determine the angles of the triangle for each vertex using equation [1] and solving it for Ф.

<h3>Angle of the triangle for vertex in (1, 1, 1)</h3>

The vectors which form an angle from this vertex are the result of subtracting the vertex (1, 1, 1) to any of the remaining points (1, -3, 2) and (-3, 2, 5):

v(1, 1, 1) - v(1, -3, 2) = \\ (1 - 1, 1 - (-3), 1 - 2) = (0, 1 + 3, -1) = (0, 4, -1)

v(1, 1, 1) - v(-3, 2, 5) = \\ (1 - (-3), 1 - 2, 1 - 5) = (1 + 3, -1, -4) = (4, -1, -4)

The <em>dot product</em> for these vectors is:

[0, 4, -1] . [4, -1, -4] = [0 * 4 + 4 * -1 + -1 * -4] = 0 - 4 + 4 = 0

The norm for each vector is:

|(0, 4, -1)| = \\ \sqrt{0^2 + 4^2 + -1^2} = \sqrt{0 + 16 + 1} = \sqrt{17}

|(4, -1, -4)| = \\ \sqrt{4^2 + -1^2 + -4^2} = \sqrt{16 + 1 + 16} = \sqrt{33}

So

a . b = |a| |b| cosФ

\\ 0 = \sqrt{17} * \sqrt{33} * cos{\theta}

\\ \frac{0}{\sqrt{17} * \sqrt{33}} = cos{\theta}

\\ cos^{-1}{0}} = cos^{-1}(cos{\theta})

\\ 90 = \theta

In vertex (1, 1, 1) the angle of the triangle is 90 degrees. We have here a right triangle.

We have to follow the same procedure for finding the vectors for angles in vertices (1, -3, 2) and (-3, 2, 5), or better, after finding one of the previous angles, we find the remaining angle subtracting the sum of two angles from 180 degrees to finally obtaining the three angles in question.

Therefore, the other angles are 35.67 degrees and 180 - (90 + 35.67) = 180 - 125.67 = 54.33 degrees.

5 0
3 years ago
Find the force a 68.5 kg person would experience while standing on the surface of Mars. Mars has a mass of 6.43 x 1023 kg and a
Zinaida [17]
F = Gm1m2/r^2 = 6.67 x 10^-11 * 68.5 * 6.43 x 10^23 / (3.43 x 10^6)^2 = 2.93 x 10^15 / 1.18 x 10^13 = 249.7N

8 0
4 years ago
Read 2 more answers
May I please get help. ​
Karo-lina-s [1.5K]

Answer:

y = -\frac{2}{3} +6

Step-by-step explanation:

To be parallel to the original line, the slope has to be the same (-\frac{2}{3}). For the line to go through the point (6,2) the y-intercept has to be 6.

The graph shows the original line (black) and new line that goes through the point (yellow).

Hope it helps!

3 0
3 years ago
Other questions:
  • Factor completely 9x2 − 25.
    11·1 answer
  • Please help, I'm being timed, will mark brainliest
    15·2 answers
  • A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 16o when staring at the top of the sta
    14·1 answer
  • 8) 7x + 2 y = 24<br> 8x + 2 y = 30
    13·1 answer
  • A farmer harvested 21 1 4​ fewer bushels of sweet corn this year than the previous year. If the farmer's sweet corn crop is plan
    10·1 answer
  • Shiv and his friends are 3 1/6 pizzas. Express this amount as a decimal
    9·1 answer
  • Rewrite each problem vertically and solve 1.42+2.157
    14·1 answer
  • PLEASSSEEE ELXPLAIN THE ANSWER I REALLY NEED HELP ON THIS
    8·1 answer
  • Find the area of a polygon with the vertices A(-1. 5). BC-1 -4), C(-6, -4), and D(-6, 5).
    8·1 answer
  • Cai says you can divide both quantities in a ratio by the same nonzero number to
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!