2. Name all angles adjacent to LADE.

Thandeka is organizing her birthday party that will be in few days. She is planning to make orange juice using orange concentrat

frutty [35]

Well for each concentrate, you need ten times the amount, so if it was 1ml of concentrate you would add 10ml of water. Since it is 300ml of concentrate, you need to add (300 x 10) ml of water, or 3,000 ml.

7 0

3 years ago

What are the lengths of sides A and B of a right triangle if the hypotenuse is equal to 1.2 cm and the interior angles are 60 de

Natali5045456 [20]

We have been given that the hypotenuse of a right triangle is equal to 1.2 cm and the interior angles are 60 degrees, 30 degrees, and 90 degrees.

We know that hypotenuse corresponds to 90 degrees angles.

We also know that the hypotenuse is equal to twice the length of the shorter leg and shorter leg is the opposite side to 30 degree angle.

To find the length of shorter leg, we will divide length of hypotenuse by 2.

$\text{Side corresponding to 30 degree angle}=\frac{1.2\text{ cm}}{2}$

$\text{Side corresponding to 30 degree angle}=0.6\text{ cm}$

Therefore, length of shorter leg is 0.6 cm.

We know that the longer leg, which is across from the 60 degree angle, is equal to multiplying the shorter leg by $\sqrt{3}$ .

$\text{Side corresponding to 60 degree angle}=0.6\text{ cm}\times \sqrt{3}$

$\text{Side corresponding to 60 degree angle}=1.039230\text{ cm}$

$\text{Side corresponding to 60 degree angle}\approx 1.04\text{ cm}$

Therefore, length of longer leg is approximately 01.04 cm.

3 0

4 years ago

Who of the following is a price taker? A. Sandy has set the price of her own designer clothes. B. Megan buys vegetables from th

Artist 52 [7]

Answer:

The price taker is B. Megan buys vegetables from the local grocery outlet. and D. Ralph, a fruit seller, sells apples at a market price of $3.50 a pound.

Step-by-step explanation:

A price taker is an individual (seller or buyer) or company the have no influence on the price of the product. They have to accept the prevailing price at the market since they have competitors for the same products, so buyers have an alternative choice.

B. Megan buys vegetables from the local grocery outlet.

(Megan is a price taker since she is beholden with the price tag of vegetables at the local grocery outlet)

D. Ralph, a fruit seller, sells apples at a market price of $3.50 a pound.

(Ralph is a price taker since he is attached to the market price)

6 0

3 years ago

4.185 divided by 0.93 rounded

mr Goodwill [35]

To the nearest whole: 4
to the nearest hundredth: 4.2
actual answer: 4.5

4 0

3 years ago

What is the sum of the first 5 terms of geometric series with a1=10 and r=1/5

steposvetlana [31]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=10\\
n=5\\
r=\frac{1}{5}
\end{cases}$

$\bf S_5=10\left( \cfrac{1-\left( \frac{1}{5} \right)^5}{1-\frac{1}{5}} \right)\implies S_5=10\left( \cfrac{1-\frac{1}{3125}}{\frac{4}{5}} \right)
\\\\\\
S_5=10\left( \cfrac{\frac{3124}{3125}}{\frac{4}{5}} \right)\implies S_5=10\cdot \cfrac{781}{625}\implies S_5=\cfrac{1562}{125}$

7 0

3 years ago