All categories

4 years ago

Pt 2 i rlly need help

Mathematics

1 answer:

avanturin [10]4 years ago

7 0

All of them are similar so I’ll answer one of them.
Q no. 12
In the given right angled triangle,
With respect to given angle (theta) 60,
Perpendicular (P) = 3
Base (B) = n
Hypotenuse (H) = m

We know,
Tan theta = P/B
Tan 60 = 3/n
Root under 3 = 3/n
.•. n=3 root under 3

Also,
Sin theta = P/H
Sin 60 = 3/m
Root under 3/2=3/m
.•.m=6/root under 3

You might be interested in

the price of gravel is $24 for every 3/8 ton. Kate wants to know the price of 2 tons of gravel. at that rate, what is the price

andreev551 [17]

Answer:

Step-by-step explanation:

This problem is on rate.

firstly we have to find the rate at which 1 ton is sold

given that 3/8 ton is sold for $24

hence 1 ton will be sold for X

cross multiply

X = 24/3/8

inverse the denominator and multiply the result with the numerator we have

X= 24*8/3

X= $64

Now having found out that 1 ton cost $64

2 tons will cost =64*2

= $128

Therefore at this rate two tons will cost $128

3 0

3 years ago

A hair salon in Cambridge, Massachusetts, reports that on seven randomly selected weekdays, the number of customers who visited

morpeh [17]

Answer:

a: 28 < µ < 34

Step-by-step explanation:

We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...

We get a mean of 222/7 = 31.7143

and a sample standard deviation of: 4.3079

We can now construct our confidence interval. See the second attached photo for the construction steps.

They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)

The t-value is: 1.943

We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.

5 0

3 years ago

A rectangular card has an area of 120 over 1\4 square inches. The card is 6 over 1\2 inches wide. How long is the card???? if u

Anika [276]

The area is 120/(1/4) or 120 x 4 or 480 square inches
the width is 6/(1/2) or 6 x 2 or 12 inches
to find the length, divide the area by the width
480/12= 40
40 inches
Hope this helps :)

7 0

3 years ago

What is the product? <br> (-2d^2+s)(5d^2-6s)

Anna71 [15]

Answer:

Option 1: -10d⁴ + 17d²s - 6s²

General Formulas and Concepts:

<u>Algebra I</u>

Terms/Coefficients
Expand by FOIL

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

(-2d² + s)(5d² - 6s)

<u>Step 2: Expand</u>

FOIL: -10d⁴ + 12d²s + 5d²s - 6s²
Combine like terms: -10d⁴ + 17d²s - 6s²

6 0

3 years ago

Convert from Decimal Notation to Scientific Notation

a_sh-v [17]

Answer:

Hence, 12,90,000 can be expressed as $1.29 \times 10^{6}$ .

Step-by-step explanation:

- Given 12,90,000

- Use given, move the decimal point so that first factor is greater than or equal to 1 but less than 10 .

- Then count n and write in scientific notation.

Step 1 of 1

Consider 12,90,000

1.29

So, 1.29 lies between 1 & 10.

Now, Decimal moved to 6 places at left.

$1.29 \times 10^{6}$

So, $12,90,000=1 \cdot 29 \times 10^{6}$ .

7 0

2 years ago