The human body contains about bacteria.

The graph below shows the numbers of cups of grape juice that are mixed with cups of lemon-lime soda to make servings of grape s

Masteriza [31]

Answer:

2:1

Step-by-step explanation:

I took the test

3 0

3 years ago

Read 2 more answers

(20 points)Solve the equation cos x = sin (x + 22)

Law Incorporation [45]

Answer:

$\bold{x = 34^\circ}$

Step-by-step explanation:

Given:

$cos x = sin (x + 22^\circ)$

To solve:

The given equation.

Solution:

First of all, let us consider an important property of sine and cosine.

$sin(90^\circ-\theta )=cos\theta$

OR

$cos(90^\circ-\theta )=sin\theta$

We can apply above property to solve for $x$ as per given equation.

$cos x = sin (x + 22^\circ)$

Changing $cosx$ to sine form:

$cosx=sin(90^\circ-x)$

$cosx=sin(90^\circ-x) = sin(x+22^\circ)$

$\therefore 90^\circ-x=x+22^\circ\\\Rightarrow 90^\circ-22^\circ=x+x\\\Rightarrow 2x=68^\circ\\\Rightarrow \bold{x = 34^\circ}$

So, solution to the equation $cos x = sin (x + 22^\circ)$ is:

$\bold{x = 34^\circ}$

7 0

3 years ago

Copy the problems onto your paper, mark the given and prove the statements asked. Prove, triangle CAV is congruent to triangle C

lys-0071 [83]

Quadrilateral is a family of plane shapes that have four straight sides. Thus the sum of their internal angles is $360^{o}$ . Examples include rectangle, square, rhombus, trapezium, and kite.

A kite is a plane shape that has its adjacent sides to have equal measures.

The given diagram in the question is a kite that has its specific properties compared to other quadrilaterals.

Thus, the required proof is stated below:

Given: ΔCAV and ΔCEV

Prove that: ΔCAV ≅ ΔCEV

Then,

CE ≅ CA (length of side property of a kite)

EV ≅ AV (length of side property of a kite)

<ACV ≅ <ECV (bisected property of a given angle)

<AVC ≅ <EVC (bisected property of a given angle)

CV is a common side to ΔCAV and ΔCEV

Therefore it can be deduced that;

ΔCAV ≅ ΔCEV (Angle-Angle-Side congruent theorem)

For more clarifications on the properties of a kite, visit: brainly.com/question/2918354

#SPJ1

7 0

2 years ago

Describe the slips of perpendicular lines

Stolb23 [73]

Answer:

They have opposite reciprocals

Step-by-step explanation:

example= -4/3 the opposite reciprocal would be 3/4

4 0

3 years ago

Maria ran at a rate of 3.4 miles per hour for 6.8 hours. How many miles did she run in total?

Akimi4 [234]

Answer:

6.8+3.4=10.2

Step-by-step explanation:

8 0

3 years ago

The human body contains about ​ bacteria.

The human body contains about bacteria.