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ryzh [129]
3 years ago
5

Triangle ABC has a side measuring 7 inches, a side measuring 10 inches, and an angle measuring 38°. To construct another triangl

e that is DEFINITELY congruent to triangle ABC with only this information, which statement is correct about triangle ABC?
Mathematics
1 answer:
andre [41]3 years ago
5 0
The angle must be between the sides.

Two sides and an angle will definitely produce a congruent triangle if the angle is between the two sides; the SAS congruence theorem tells us this.
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I’d really appreciate help with these...
Irina-Kira [14]

Answer:

+- 5 and +- 3

Step-by-step explanation:

qn 2:

4r² = 91 + 9

4r² = 100

r² = 25

r = +- 5

qn 3:

4r² = 29 + 7

4r² = 36

r² = 9

r = +- 3

7 0
3 years ago
Read 2 more answers
A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t
docker41 [41]

Answer:

See below ~

Step-by-step explanation:

<u>Things to Find</u>

  1. Volume of Toy
  2. Difference of Volumes in Cube and Toy
  3. Total Surface of Toy

<u>Volume of Toy</u>

  • Volume of Hemisphere + Volume (Cone)
  • 2/3πr³ + 1/3πr²h
  • 1/3πr² (2r + h)
  • 1/3 x 3.14 x 16 (8 + 4)
  • 1/3 x 50.24 x 12
  • 50.24 x 4
  • <u>200.96 cm³</u>

<u></u>

<u>Volume of Circumscribing Cube</u>

  • Edge length is same as diameter
  • V = (8)³
  • V = 512 cm³

<u>Difference in Volume</u>

  • 512 - 200.96
  • <u>311.04 cm³</u>

<u></u>

<u>Slant height of cone</u>

  • l² = 4² + 4²
  • l² = 32
  • l = 4√2 cm = 5.6 cm

<u />

<u>Surface Area of Toy</u>

  • CSA (hemisphere) + CSA (Cone)
  • 2πr² + πrl
  • πr (2r + l)
  • 3.14 x 4 (8 + 5.6)
  • 12.56 x 13.6
  • <u>170.8 cm²</u>
3 0
2 years ago
Pleaseeee help i don't understand how to do this
den301095 [7]

Answer:

x=\frac{5}{k}

Step-by-step explanation:

Given expression is,

\text{log}_{3^k}243=x

By using the law of logarithm,

(3^k)^x=243

3^{kx}=243

3^{kx}=3^5

By comparing exponents on both the sides of the equation,

kx=5

x=\frac{5}{k}

Therefore, x=\frac{5}{k} will be the answer.

7 0
3 years ago
How do you solve systems of equations using matrices? I need help with the steps please
seraphim [82]
The objective function is simply a function that is meant to be maximized. Because this function is multivariable, we know that with the applied constraints, the value that maximizes this function must be on the boundary of the domain described by these constraints. If you view the attached image, the grey section highlighted section is the area on the domain of the function which meets all defined constraints. (It is all of the inequalities plotted over one another). Your job would thus be to determine which value on the boundary maximizes the value of the objective function. In this case, since any contribution from y reduces the value of the objective function, you will want to make this value as low as possible, and make x as high as possible. Within the boundaries of the constraints, this thus maximizes the function at x = 5, y = 0.

6 0
4 years ago
What is y=x-4;(-2,3)
Yuki888 [10]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
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