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1 year ago

One angle of a triangle measures 65°. The other two angles are in a ratio of 3:20. What are the measures of those two angles?

Mathematics

1 answer:

Nataly_w [17]1 year ago

3 0

Answer:

15° and 100°

Step-by-step explanation:

$65 + 3x + 20x = 180$

$23x = 115$

$x = 5$

3 × 5 = 15, 20 × 5 = 100. So the other two angles measure 15° and 100°.

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You make a time capsule with your friends. Find the surface area of the shape pictured. Use 3.14 to approximate pi.

Orlov [11]

Answer: $1,475.8mm^{2}$

Step-by-step explanation:

1. If you join the top part and the bottom part of the figure, you obtain a sphere. Then, you must apply the formula for calculate the surface area of a sphere:

$SA_s=4r^{2}(3.14)$

Where r is the radius ( $r=\frac{10mm}{2}=5mm$ )

2. Then:

$SA_s=4(5mm)^{2}(3.14)=314mm^{2}$

3. The formula for calculate the suface area of the red part, which is a cylinder, is:

$SA_c=2(3.14)(r)(h)$

Where h is the height (h=32mm)

4. Then:

$SA_c=2(3.14)(5mm)(32mm)=1,004.8mm^{2}$

5. So, the total surface area is:

$SA_t=314mm^{2}+1,004.8mm^{2}=1,318.8mm^{2}$

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2 years ago

20 POINTS! Please help, best answer will recessive brainliest answer points as well as 5 stars and a thank you. :)

Vitek1552 [10]

Answer:

3): 14

Step-by-step explanation:

The problem states that ABC and DEF are similar. Therefore, dsue to similar triangles, we have 7x/7=4/x, so x^2=4. Therefore, x=2 (because x cannot be negative). Therefore, AB = 7x = 7*2=14

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2 years ago

Who can help me ????.<br>instruction find the missing length.

djverab [1.8K]

Answer:

19 is the answer i think.

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2 years ago

What is the mode of this data set? {8, 11, 20, 10, 2, 17, 15, 5, 16, 15, 25, 6}

lidiya [134]

The mode is what appears the most so 15 is the answer because it appears the most.

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