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Fittoniya [83]
3 years ago
7

11. The length (L) of a rectangular picture frame

Mathematics
1 answer:
zvonat [6]3 years ago
7 0
I’m having same problem
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Robert believes that the lengths 8 in, 13 in, and 20 in will form a triangle. Is he correct?
adell [148]

Answer: I think it’s D

Step-by-step explanation:

it’s because 8^2 + 13^2 equals 233 and when square rooted equals 15.26 not 20 so no.

7 0
3 years ago
A triangle has side lengths of 9 in, 13 in, and 20 in. What is the measurement of this triangle's largest angle?
Rama09 [41]

1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :

     i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.

      ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:

       a^{2}=b ^{2}+c ^{2}-2bc(cosA)

2.

20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA)

400=81+169-234(cosA)   150=-234(cosA)

cosA=150/-234= -0.641

3. m(A) = Arccos(-0.641)≈130°,

4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc

6 0
3 years ago
Read 2 more answers
Simplify.<br><br>1 – 2u + u + 4​
liq [111]

Answer:

-u+5

Step-by-step explanation:

plz mark as brainliest

5 0
3 years ago
Read 2 more answers
Theo and Kade worked on a school project together. Theo worked on the project 3 fewer hours than Kade did. Altogether, they work
babunello [35]

Let the hours Kade worked = X

Theo would be X - 3 ( 3 less than Kade).

Now you have:

X  + X -3 = 27

Combine like terms:

2x - 3 = 27

Add 3 to each side:

2x = 30

Divide both sides by 2:

x = 15

Kade worked 15 hours.

Theo worked 12 hours.

6 0
3 years ago
Read 2 more answers
One angle of a triangle measures <img src="https://tex.z-dn.net/?f=10degrees" id="TexFormula1" title="10degrees" alt="10degrees"
iVinArrow [24]

Answer:

One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o

Step-by-step explanation:

Let

x ----> the measure of one angle of the triangle

y ---> the measure of the second angle

z ----> the measure of the third angle

we know that

The sum of the measure of the interior angles in any triangle must be equal to 180 degrees

x+y+z=180^o -----> equation A

One angle of a triangle measures  10 degrees more than the second

x=y+10 ----> equation B

The measure of the third angle is twice the sum of the first two angles

z=2(x+y) ---> equation C

substitute equation B in equation C

z=2(y+10+y)

z=4y+20 ----> equation D

substitute equation D and equation B in equation A

(y+10)+y+(4y+20)=180^o

solve for y

6y=180-30\\6y=150\\y=25^o

Find the value of x

x=25+10=35^o

Find the value of z

z=4(25)+20=120^o

therefore

One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o

5 0
4 years ago
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