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jekas [21]
2 years ago
13

In right triangle ABC with right angle C, AC=9 and the measure of angle B=30 degree. Find the length of AB.

Mathematics
2 answers:
dusya [7]2 years ago
7 0
Since you know angle B and length of ac, you can use the Sin ratio to determine the length of ab. Set up as Sin30 = 9/x. As sin= opp/hyp and x=unknown length.
Then cross multiply and divide. move x over to sin30, then move sin30 under 9.
So now you have x= 9/Sin30. enter in calculator, but make sure you are in degree mode!!!
pshichka [43]2 years ago
3 0
From\ triangle\ with\ angles: 30^{\circ},60^{\circ},90^{\circ}\\\
|AB|=a\sqrt{3}\\
|AC|=a=9\\\\
|AB|=9\sqrt{3}\\\\
Length\ of\ |AB|\ is\ equal\ to\ 9\sqrt{3}.

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Step-by-step explanation:

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3 years ago
1) A rectangular storage container with an open top is to have a volume of 15 m 3 . The length of its base is four times the wid
My name is Ann [436]

9514 1404 393

Answer:

  a) V = 4w²h

  b) SA = 4w² +10wh

  c) SA = 4w² +37.5/w

  d) C = 40w² +225/w

Step-by-step explanation:

The relevant formulas are ...

  V = LWH

  base area = LW

  lateral area = H(2(L+W))

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a) The length is 4 times the width, so the volume is ...

  V = (4w)(w)(h)

  V = 4w²h

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b) The total surface area is the sum of the base area and the lateral area:

  SA = base area + lateral area

  SA = (4w)(w) + 2h(4w +w)

  SA = 4w² +10wh

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c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...

  15 = 4w²h

  h = 15/(4w²)

Then the surface area is ...

  SA = 4w² +10w(15/(4w²))

  SA = 4w² +37.5/w

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d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:

  C = 10(4w²) +6(37.5/w)

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4 0
3 years ago
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baherus [9]

Answer:

5≤u

Step-by-step explanation:

Put the words and numbers into an equation:

-5u+27≤2

Put all like terms on one side:

27-2≤5u ---> Do you see what I did there? Now you don't have to work with negatives. :)

Simplify:

25≤5u

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3 years ago
Need help asap in delta math assignment
V125BC [204]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
Can someone help me write the equations and solve, please.
Novay_Z [31]

Answer:

Number 11: She has to add 5/36 of a cup

Number 12: The present costs $22,2

Number 13: 56,7 pounds is the weight of the package.

Number 14: You started with 40 muffins

Step-by-step explanation:

<u>Number 11</u>: 1/4 = 9/36  and 1/9 = 4/36

3*1/4  -  3*1/9  = 3*9/36  - 3*4/36  = 5/36

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x = 13,32/0,6 = 22,2

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x = 40,5/ (5/7) or 40,5 * 7/5 = 283,5/5 = 56,7

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x= 12/0,30 = 40

6 0
3 years ago
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