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frosja888 [35]
3 years ago
14

The measure of one of the small angles of a right triangle is 15 less than twice the measure of the other small angle. Find the

measure of both angles
Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0

Answer:

35° and 55°

Step-by-step explanation:

The sum of the angles of a right rectagle is 180°, with a right angle of 90°.

The tell us that A = 2B-15, so:

180° = 90° + A + B

180° = 90° + 2B - 15 + B

180° - 90° + 15 = 2B + B

105° = 3B

B = 105°/3 = 35°

Now, let's find A:

A = 180° - 90° - 35° = 55°

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I’m confused on this question. Can anybody help?
DENIUS [597]

Answer:

I believe the answer is 90

Step-by-step explanation:

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2 years ago
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Name the solid and find its volume. Use 3.14 as the approximate value of pi.
sineoko [7]

It is given in the question that the solid is a cone with height of 16 units and radius of 7 units .

The formula of volume of cone is

V = \frac{1}{3} \pi r^2 h

To find the volume, we substitute the given values of r and h and use 3.14 for pi. That is

V = \frac{1}{3} *3.14*7^2 *16 = 820.6 \ units \ cube

And that's the required volume of the cone .

7 0
3 years ago
If triangle def is rotated 180 degrees clockwise around the origin, what will be the coordinates of E’ in the image ?
Harlamova29_29 [7]
E' (-3,-1)

When rotating 180° clockwise about the origin the coordinates of the image will be the same x and y numbers but the opposite sign of the pre-image. Using the above as an example, pre-image E is located at (3,1) so the rotated image would be E' (-3,-1). Pre-image D is located at (-1,3) so the rotated image would be D' (1,-3). Pre-image F is located at (2,-2) so the rotated image would be F' (-2,2).
5 0
3 years ago
Read 2 more answers
Add:<br> 21.4 + (- 23.9)
pogonyaev
The answer is -2.5. this is how you work it out.
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4 0
3 years ago
Please answer both questions and show all work with explanations :) thank you soo much...
torisob [31]

Answer:

1) 109 cm

2) 120 in²

Step-by-step explanation:

A rectangle is a quadrilateral with opposite sides the same length and four (4) right angles. The diagonal, together with two adjacent sides, forms a right triangle. The relationship between side lengths and the diagonal length is given by the Pythagorean theorem. If sides are "a" and "b" and the diagonal is "c", that theorem tells you ...

... c² = a² + b²

1) c² = (60 cm)² + (91 cm)² = 11881 cm²

... c = √11881 cm = 109 cm

2) The perimeter is double the sum of adjacent side lengths, so ...

... 2(a+b) = 46 in

... a + b = 23 in . . . . . divide by 2

The Pythagorean theorem tells you

... a² + b² = (17 in)²

Squaring the equation from the perimeter relation gives ...

... (a + b)² = (23 in)² = a² + 2ab + b²

Subtracting a² + b², we have

... (a² +2ab +b²) - (a² + b²) = (23 in)² -(17 in)²

... 2ab = (529 -289) in² = 240 in² . . . . . simplify

... 240 in²/2 = ab = 120 in² . . . . . area is the product of length and width

_____

We could solve the two equations for a and b to find that there are two possible solutions: (a, b) = (8, 15) or (15, 8). Either way, ab = 8·15 = 120.

7 0
3 years ago
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