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2 years ago

What is 1/5(x-2)=10 wats the value of x

Mathematics

2 answers:

arlik [135]2 years ago

4 0

Answer:

x=52

Step-by-step explanation:

1/5(x-2) =10

x-2=10*5

x-2=50

x=50+2

x=52

Svetlanka [38]2 years ago

3 0

Answer:

x = 52

Step-by-step explanation:

-multiply both sides by 5

5 times 1/5 (x - 2) = 10 times 5

-simplify

x - 2 = 50

-add 2 to both sides

x - 2 + 2 = 50 + 2

-simplify

x = 52

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A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on

Volgvan

Answer:

D. $tan(30^\circ+45^\circ)$ is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

$\angle DCB =45^\circ\\\angle ACB =75^\circ\\$

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the $\triangle ABC$ , we are given the base BC and the $\angle ACB$ , and the perpendicular is to be find out.

We can use trigonometric identity:

$tan\theta =\dfrac{Perpendicular}{Base}$

$tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft$

Hence, D. $tan(30^\circ+45^\circ)$ is the correct answer.

5 0

2 years ago

Find the ratio a:c if <br>a:b = 1:2, b:d = 4:5, d:c = 3:1<br>

Makovka662 [10]

Answer:

a : c = 6 : 5

Step-by-step explanation:

Expressing the ratios in fractional form, then

$\frac{a}{c}$ = $\frac{a}{b}$ × $\frac{b}{d}$ × $\frac{d}{c}$ = $\frac{1}{2}$ × $\frac{4}{5}$ × $\frac{3}{1}$ = $\frac{12}{10}$ = $\frac{6}{5}$

Thus a : c = 6 : 5

3 0

2 years ago

#10-1 : What is the probability of randomly choosing a diamond card from a regular deck of 52 cards? What is the probability of

Alchen [17]

$\huge{\boxed{\frac{1}{4}}}\ \ \huge{\boxed{\frac{1}{4}}}$

There are $13$ of each suit in a deck of $52$ cards.

This means the probability of drawing a diamond card is $\frac{13}{52}$ . You can divide the numerator and denominator each by $13$ to simplify. $\frac{13}{52} \div \frac{13}{13} = \boxed{\frac{1}{4}}$

Since there are the same number of clubs as there are diamonds, the probabilities are the same.

3 0

3 years ago

The first 5 terms of a sequence are shown below:

nirvana33 [79]

Step-by-step explanation:

To find the formula for the nth term ,

First , find the common difference or common ratio.

Common difference =

$T_2-T_1 \\ - 2 - 3 \\ = - 5$

Common ratio =

$T_2/T_1 \\ \frac{ - 2}{3}$

The common difference applies to the other given numbers for example :

$T_3- T_2 = - 7 - ( - 2) \\ = - 7 + 2 = - 5$

this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is

T_n =a(n-1)d

Where n = no of terms

a= first term

d= common difference

6 0

2 years ago

Find f(-1)<br><br> please help, not good at math.

bagirrra123 [75]

This means that X in the equation equals -1

7 0

2 years ago