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3 years ago

Evaluate the expression if d= -3 |d|

Mathematics

1 answer:

Mkey [24]3 years ago

8 0

|d| = 3 Because it is the absolute value of -3 which means that the (-) sign will be deleted

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Round to the nearest tenth.

laila [671]

Answer:

8.2 units

Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

Recall the Law of Cosines

$a^2=b^2+c^2-2bc\cdot cos(A)$

Identify angles and sides

$m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6$

Solve for side "a"

$a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2$

Therefore, the length of line segment BC is about 8.2 units

8 0

2 years ago

Find a solution to the equation if possible. Give the answer in exact form and in decimal form.

Svetach [21]

I hope this helps you

3 0

3 years ago

Can someone help me plz?

Anon25 [30]

The first question would be: 0.75

5 0

4 years ago

Select the correct answer. Which rule can you use to find the nth term of an arithmetic sequence in which the common difference

lesantik [10]

Answer

a. a_(n)= 3+5n

4 0

4 years ago

Help please!!!

Maslowich

y varies directly with x.

The constant of variation is k = 7

Step-by-step explanation:

We have to check whether both vary directly with each other or not.

Every pair of x and y will be considered one by one

If y varies directly with x, it should satisfy y = kx or k = yx

So,

For x= -2, y=-14

$-14 = -2k\\k = \frac{-14}{-2}\\k = 7$

For

x=3, y=21

$21 = 3k\\ k = \frac{21}{3}\\k = 7$

For

x=5, y=35

$35 = 5k\\ k = \frac{35}{5}\\k = 7$

As k is same for all pairs of x and y, it can be concluded that:

y varies directly with x.

The constant of variation is k = 7

Keywords: Proportion, variation

Learn more about proportion at:

#LearnwithBrainly

6 0

3 years ago