3 months ago

Classify the following triangle check all that apply ?APEX

2 answers:

3 0

This triangle is both acute and equilateral.
It consists of three angles that are all acute, as well as having equal sides and angles.

Svet_ta [12.7K]3 months ago

3 0

Each angle measures below 90 degrees ⇒ Acute

Three congruent sides ⇒ Equilateral

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Greg builds a new pond which has a volume of 7.35m3, it is 4.2m long and 50cm deep, what is the width of the pond

AnnZ [12381]

The width of the pond is 3.5 meters.

6 0

3 months ago

Value of sec Square 26 degrees - cot square 64 degrees is

Leona [12618]

Answer:

The value equals 1

Step-by-step explanation:

Consider the expression

$sec^{2}(26\°)-cot^2(64\°)$

Recall that

$cot^2(64\°)=\frac{cos^2(64\°)}{sin^2(64\°)}$

$sec^{2}(26\°)=\frac{1}{cos^2(26\°)}$

For two complementary angles A and B (where A+B=90°),

the identity is

cos(A) = sin(B)

Here, 26° and 64° are complementary angles, so

$\frac{1}{cos^2(26\°)}=\frac{1}{sin^2(64\°)}$

Substituting values,

$\frac{1}{sin^2(64\°)}-\frac{cos^2(64\°)}{sin^2(64\°)}$

$\frac{1-cos^2(64\°)}{sin^2(64\°)}$

From this, we find

$1-cos^2(64\°)=sin^2(64\°)$

By substitution,

$\frac{sin^2(64\°)}{sin^2(64\°)}=1$

4 0

3 months ago

The random variable KK has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of

Inessa [12570]

Answer:

E 240

Step-by-step explanation:

Mean of the geometric distribution = (1- p) / p

16 = (1 - p) / p

16p = 1 - p; 17p = 1; thus, p = 1/17 = 0.058

Standard Deviation = (1 - p) / p^2

= (1 - 0.058) / (0.058)^2

0.942 / 0.003364

= 280, which is closest to 240

5 0

2 months ago