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
Romashka-Z-Leto [24]
3 years ago
12

What are the values of s,v,w,x,y,z?​

Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Answer: s, v, w, & x = 13      y = 20        z = 20 + 13√3

<u>Step-by-step explanation:</u>

First, you need to understand the side lengths of each special triangle in the drawing.

A 45°- 45°- 90° triangle has corresponding sides of a - a - a√2

A 30°- 60°- 90° triangle has corresponding sides of b - b√3 - 2b

The hypotenuse of the 45-45-90 triangle is 13√2, so its legs are 13.

So A F = 13 → s = 13 and w = 13

     FB = 13 → x = 13

     EC = 13 → v = 13

Since the x-value of C is 20, then the x-value of E is also 20 → y = 20

ED is opposite of the 60° angle of the 30-60-90 triangle so ED is EC√3.  Since EC = 13, then ED = 13√3.

AE + ED = AD

20 + 13√3 = AD → z = 20 + 13√3

You might be interested in
Heeeeeeeelllllpppp<br>why isnt anyone helping me :(<br>find MK​
Ne4ueva [31]

Answer:

MK=32.5

Step-by-step explanation:

Hey There!

I believe that these triangles are similar

So to find MK we want to find the scale factor

To do this we divide

66/30=2.2

Now we want to divide 72.5 by 2.2

72.5/2.2=32.5

therefore MK=32.5

hope this helps!

8 0
3 years ago
Use words to express the value of each decimal.
Slav-nsk [51]
Four and seven hundredths
Fifteen and thirty eight hundredths
One hundred and sixty nine thousandths
Seven and two hundred and five thousandths
Nine and one tenth
Twelve and eighty six hundreths
5 0
3 years ago
In T-ball, the distance to each successive base is 50 feet. If the distance from home plate to the pitcher’s mound is 38 feet, h
JulijaS [17]

Answer:

<h2>The distance from the pitcher's mound and to second base is 37.99 approximately.</h2>

Step-by-step explanation:

The diamond is a square, which in this case has 50 feet long each side, and from home to pitcher is 38 feet. Notice that home is a vertex of the square and the pitcher's mound is the intersection of the diagonals, where they cut half.

We can find the distance from the pitcher to first base using Pythagorean's Theorem, where 50 feet is the hypothenuse.

50^{2} =38^{2}+x^{2}\\x^{2}=50^{2}-38^{2}\\x=\sqrt{2500-1444}\\ x=\sqrt{1056}\\ x \approx 32.5 \ ft

Therefore, the distance from the pitcher to first base is 32.5 feet, approximately.

Now, we can use again Pythagorean's Theorem to find the distance from pitcher to second base, where the hypothenuse is 50 feet.

50^{2}=32.5^{2}+y^{2}\\y^{2}=50^{2}-32.5^{2}\\y=\sqrt{2500-1056.25}\\ y =\sqrt{1443} \approx 37.99

Therefore, the distance from the pitcher's mound and to second base is 37.99 approximately.

<em>(this results make sense, because the diagonals of a square intersect at half, that means all bases have the same distance from pitcher's mound, so the second way to find the distance asked in the question is just using theory)</em>

8 0
3 years ago
Which expression is NOT equivalent to −38⋅(−4+12)? Drag this expression to the box.
lesya [120]

I had this question so here's the answer and explanation! :)

Answer:

The answer to your question is the first option :D

Step-by-step explanation:

Original expression

                                -3/8 (-4 + 1/2)

First option    -3/8 (-4)  + (3/8)(1/2)       This option is not equivalent because

                                                             they forgot the negative sign of the

                                                             second term.

Second option (-3/8)(-4) + (-3/8)(1/2)    This option is equivalent to the

                                                              original. Distributive property

Third option    (-3/2)(-3 1/2)                 This option is equivalent to the original

Fourth option  (-3/8)(-3) + (-3/8)(-1/2)  This option is equivalent to the original

HOPE THIS HELPS :)

5 0
3 years ago
Read 2 more answers
If a1 = 3 and an = (an-1)^2+4 then find the value of a4
NeX [460]

Answer:

Here is the ans hope it helps:)

8 0
2 years ago
Other questions:
  • Radium-226 is a radioactive element, and its decay rate is modeled by the equation R = R0e-0.000428t. How many years will it tak
    8·2 answers
  • dakota runs a half marathon every 6 weeks. madison runs a half a marathon every 15 weeks. how many weeks untill they will run to
    9·1 answer
  • 4 and 1/2 - by 1 and 1/4 equals?
    13·1 answer
  • What is a point-slope equation of the line with slope -12 that goes through
    11·1 answer
  • What is the slope?????????
    13·1 answer
  • Use the tape diagram to write an equivalent ratio in simplest form. Write your ratio using a colon and no spaces.
    12·2 answers
  • Round 6 3/4 to the nearst whole number​
    10·2 answers
  • Bob had 7.34 metres of string. He wanted to share this equally between 10 of his friends to make shoelaces. How many centimetres
    13·1 answer
  • (pls help? u will get brainliest)
    7·2 answers
  • Which equation would solve for the standard rate of pay?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!