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yaroslaw [1]
3 years ago
10

Evaluate the expression

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
3 0

Answer:

-5

Step-by-step explanation:

\tt \log_3\cfrac{1}{243}=\log_3\cfrac{1}{3^5}=\log_33^{-5}=-5\log_33=-5\cdot1=-5

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Given the figure. Find AC.
Angelina_Jolie [31]

Image is missing, so i have attached it.

Answer:

AC = 10sin 40°

Step-by-step explanation:

From the diagram attached, using terms in trigonometric ratio, AC is the opposite side, BC is the adjacent side and AB is the hypotenuse.

Thus, since we want to find AC;

We know that in trigonometric ratios; opposite/hypotenuse = sin θ

In the diagram, θ = 40° and AB = 10

Thus,

AC/10 = sin 40°

Multiply both sides by 10 to get;

AC = 10sin 40°

7 0
4 years ago
If h(x) = 2x - 1 and g(x) = 3x + 1, what is (h o g)(2)?
alukav5142 [94]

Answer:

Step-by-step explanation:

g(2) = 3(2) + 1 = 6 + 1 = 7

h(7) = 2(7) - 1 = 14 - 1 = 13

4 0
3 years ago
Find the measure of angle C in the triangle below. (The figure is not drawn to scale.)
alisha [4.7K]
2x+4x-4=80
6x-4=80
6x=84
84/6=14
Angle c = 4 x 14= 56 - 4 = 52

Hope this helps.
6 0
3 years ago
How to get 18 by only using four 4s
I am Lyosha [343]

18 = 4 × 4 + 4 −√4 = (44 ÷ √4) − 4

7 0
4 years ago
Kim purchased 6 small containers of potato salad and Seth purchased 2 extra large containers of potato salad. What is the differ
icang [17]

I am assuming that the attached is the complete question and we need to get the information from the table.

From the table we know the below fact:

1 \; small \; container \; of \; potato \; salad \; Weighs \; \frac{2}{8} \; pounds\\\\1 \; extra \; large \; container \; of \; potato \; salad \; Weighs \; \frac{9}{8}  \; pounds

Weight \; of \; 6 \; small \; container = 6 \times \frac{2}{8}  = \frac{12}{8}  \; pounds\\\\Weight \; of \; 2 \; Extra \; large \; container = 2 \times \frac{9}{8} \; = \; \frac{18}{8}  \; pounds

Conclusion:

The difference in weights, in pounds of Kim’s and Seth’s purchases is given below:

\frac{18}{8} - \frac{12}{8} =  \frac{18-12}{8}   = \frac{6}{8}  \\\\Simplifying \; the \; fraction \; dividing \; by \; 2 \; on \; both \; numerator \; and \; denominator\\\\ \frac{6 \div 2}{8 \div 2}  = \frac{3}{4}

Final answer : <em><u>0.75 pounds</u></em>

6 0
4 years ago
Read 2 more answers
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