All categories

3 years ago

4) Can a right triangle have only one acute angle? Why or why not?

Mathematics

1 answer:

quester [9]3 years ago

7 0

Answer:

Step-by-step explanation:

Triangles have 180 degrees total. Once you take away 90 from it being a right triangle, you have 90 degrees left. For an angle to be right or obtuse it would have to be over 90 degrees, therefore, A right triangle has one right angle and two acute angles.

You might be interested in

- The capacity of the aquarium is 9000 mL. What is the height of the aquarium?

KatRina [158]

Volume of Cuboid = l x b x h
9000 mL = 30 x 15 x h
h = 9000/30 x 15
h = 20cm

4 0

2 years ago

What is an absolute value? What does it do? When would we need to use an absolute value

Nana76 [90]

Absolute Value Absolute Value means ...

... only how far a number is from zero:

"6" is 6 away from zero,
and "−6" is also 6 away from zero. So the absolute value of 6 is 6,
and the absolute value of −6 is also 6

More Examples:

The absolute value of −9 is 9The absolute value of 3 is 3The absolute value of 0 is 0The absolute value of −156 is 156 No Negatives!

So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive (or zero).

Absolute Value Symbol

To show that we want the absolute value of something, we put "|" marks either side (they are called "bars" and are found on the right side of a keyboard), like these examples:

|−5| = 5 |7| = 7 Sometimes absolute value is also written as "abs()", so abs(−1) = 1 is the same as |−1| = 1

3 0

3 years ago

Read 2 more answers

Ez question plz help

zhannawk [14.2K]

Answer:60 miles per hour

Step-by-step explanation:

5 0

3 years ago

Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x

Greeley [361]

Answer:

Option (1)

Step-by-step explanation:

Given equation is,

$2^x=1-3^x$

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

$2^{-0.75}=1-3^{-0.75}$

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

$2^{-1.25}=1-3^{-1.25}$

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

$2^{0.75}=1-3^{0.75}$

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

$2^{1.25}=1-3^{1.25}$

2.38 = 1 - 3.95

2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

6 0

3 years ago

2. Use the following picture for this question:

Art [367]

Answer:

a. $24\sqrt{3}$ and 41.6

b. 52.1

Step-by-step explanation:

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

Note: the exact value of tan 60 is $\sqrt{3}$

Thus, we can write $Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}$

Approximate value (rounded to nearest tenth): $24\sqrt{3} =41.6$

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

$Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1$

4 0

3 years ago