Find the perimeter of an isosceles trianglewhose base is 40 cm and whose base angle is 70".

Answers

Answer 1

Answer: $cos70^o=(20)/(x)\n\ncos70^o\approx0.342\n\n(20)/(x)=0.342\n\n0.342x=20\ \ \ \ /:0.342\n\nx\approx58.5\ (cm)\n\nPerimeter:40cm+2\cdot58.5cm=157cm$

Answer 2

Answer: $cos70^0= (20)/(x)\n\nx= (20)/(cos70^0) \n\nthe\ perimeter\ is:\n\n P=2x+40=(40)/(cos70^0)+40 \ \ \ and\ \ \ cos70^0\approx0.3420\n\nP\approx(40)/(0.342)+40\approx156.96\ [cm]$

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HELP PLEASE!A parallelogram with sides of 6 and 10 has an area of 30 sqrt of 2. Find the measure of the small angle of the parallelogram.

A.30
B.45
C.60

Answers

You can solve this problem by using trigonometry. There are two scenarios with a parallelogram with sides 6 and 10. Either the base is 6 or the base is 10. I did both cases and they gave the same results. The answer is B, 45 degrees. My work is shown below:

The correct answer is B.

2.8 = 2y
What does y equal?
1.4
0.5
2.8
0.6

Answers

Answer: 1.4

Step-by-step explanation: First, swap the sides of the equation so that the one with the variable can be in front.

So, its 2y=2.8

To solve this, you simply divide both sides of the equation by 2.

2 divided by 2 is 0. That leaves you with the y by itself. Then, 2.8 divided by 2 is 1.4

So, y=1.4

$\text {Hello! Let's solve this Equation!}$

$\text {The First Step is to Flip the Equation:}$

$\text {Before: 2.8=2y}\n\text {After: 2y=2.8}$

$\text {Your Final Step is to Divide by 2:}$

$\text {2y/2=2.8/2}$

$\text {Your Answer will be:}$

$\fbox {y=1.4}$

$\text {Best of Luck!}$

$\text {-LimitedX}$

Write log6 5 as a logarithm of base 4.1) (log4)5/(log4)6
2) (log4)6/(log4)5
3) (log5)4/(log6)4
4) (log6)4/(log5)4 ...?

Answers

The answer is 1) (log4)5/(log4)6

We will use the change-of-base formula: $log_a(x)= (log_b(x))/(log_b(a))$

So, if we want to write log6 5 as a logarithm of base 4. in these example a = 6, x = 5, b = 4:
$log_6(5)= (log_4(5))/(log_4(6))$

The value of log₆ 5 as a logarithm of base 4 is,

⇒ log₄ 5 / log₄ 6

We have to given that;

Logarithmic function is,

⇒ log₆ 5

Now, WE can write in as a logarithm of base 4 as;

Since, WE know that;

⇒ logₐ b = logₓ b / logₓ a

Hence, By above rule we get;

⇒ log₆ 5

⇒ log₄ 5 / log₄ 6

Thus, The value of log₆ 5 as a logarithm of base 4 is,

⇒ log₄ 5 / log₄ 6

Learn more about logarithmic equations here:

brainly.com/question/20835449

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Whether 750 is divisible by 5?

Answers

Answer:

Yes, 750 is divisible by 5

Step-by-step explanation:

The number 750 is divisible by 5, because any number that ends in '0' or '5' can be divided by 5. For example, 390 could be divided by 5, as well as 85, 955, 210, or even 23,447,980. Try it!

How do we solve for -3 (2x-6)=9

Answers

-6x + 18 = 9
-6x = -9
x = 1,5

What are the perfect square trinomials?

Answers

A perfect square trinomial is

(square of one term) + (square of another term) + (double the product of the two terms)

Let's look at the following trinomial.

X² - 14x + 49

(x - 7) (x - 7)

(x - 7)²

This trinomial would be classified as a perfect square trinomial because it factors as two identical binomials which is (x - 7)². This means that any trinomial that factors as two identical binomials is called a perfect square trinomial.

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Three numbers are in the ratio 6:3:1, and the sum of these numbers is 420. If the first number is reduced by 50%, and the second number is increased by 42, and the sum of the numbers remain the same, find the resulting ratio of the numbers .