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2 years ago

One angle of a right triangle measures 8°. What is the measure of the other acute angle?

Mathematics

1 answer:

Ivahew [28]2 years ago

5 0

Answer:

82°

Step-by-step explanation:

The acute angles in a right triangle are complementary. The other one is ...

90° -8° = 82°

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find the square root of each of the following decimal numbers correct to two places of decimal : I. 175.01 II. 423.74 III. 5893.

netineya [11]

Answer:

i. 13.23

ii. 20.58

iii. 76.77

iv. 84.48

Step-by-step explanation:

Here , we are to calculate the square root of we have of the decimal numbers and correct to two decimal places.

i. √(175.01) = 13.229 = 13.23

ii. √(423.74) = 20.5849 = 20.58

iii. √(5893.27) = 76.767 = 76.77

iv. √(7136.8) = 84.4795 = 84.48

Kindly note that the approximation to two decimal places are the figures after the equal to

3 0

2 years ago

12 pots cost $27 . what is the cost of 8 pots?

Alborosie

Answer:

$18

Step-by-step explanation:

you divide 27/12= 2.25 this gives you the price for one.

then you multiply 8 × 2.25 = $18

$18 dollars is the price for 8 pots

6 0

2 years ago

How many 10-digit ternary strings are there that contain exactly two 0s, three 1s, and five 2s?

Svet_ta [14]

There are $\dbinom{10}2$ ways of picking 2 of the 10 available positions for a 0. 8 positions remain.

There are $\dbinom83$ ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's $\dbinom55=1$ way of doing that.

So we have

$\dbinom{10}2\dbinom83\dbinom55=\dfrac{10!}{2!(10-2)!}\dfrac{8!}{3!(8-3)!}\dfrac{5!}{5!(5-5)!}=2520$

The last expression has a more compact form in terms of the so-called multinomial coefficient,

$\dbinom{10}{2,3,5}=\dfrac{10!}{2!3!5!}=2520$

5 0

2 years ago

A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price

Over [174]

$\large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}$

We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :

$\large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}$