What is the length of the longer side in this triangle

Answers

Answer 1

Answer:
Did you notice the little box with corners marked in the angle down at the bottom ?
That angle is a right angle, and this triangle is a right triangle !

This piece of information is a big help. It breaks the problem wide open.
You know that in order to find the longest side of a right triangle . . .

-- Square the length of one short side.
-- Square the length of the other short side.
-- Add the two squares together.
-- Take the square root of the sum.

One short side=48. Its square = 2,304.
The other short side=48. Its square = 2,304.
Add the two squares: 2,304 + 2,304 = 4,608

The square root of the sum = √4,608 = 67.88 (rounded)

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A 109 ft tree casts a shadow that is 130 ft long. what is the angle of elevation of the sun?

Answers

The angle of elevation of the sun is approximately 40 degrees

The scenario forms a right angle triangle.

The height of the tree is the opposite side of the right angle triangle formed .

The shadow casted on the ground is the adjacent side of the triangle.

Therefore, using trigonometric ratio, the angle of elevation can be found as follows:

height of the tree = 109 ft

length of the shadow = 130 ft

let

the angle = ∅

tan ∅ = opposite / adjacent

tan ∅ = 109 / 130

∅ = tan⁻¹ 0.83846153846

∅ = 39.978520842

∅ ≈ 40°

learn more on trigonometry here: brainly.com/question/24303045

Answer: 40°

Explanation:

$\tan(\theta) = \cfrac{109}{130}$

$\theta = 40 \textdegree$

The Wise Orange wonders about the purpose of knowing the degree of elevation.

What is the sum of the solutions of the 2 equations below? 8x = 12 2y + 10 = 22

Answers

Answer:

7.5

Step-by-step explanation:

12/8 = 1.5; 12/2 =6; 6 + 1.5 = 7.5

Answer:

7.5 or 7½

Step-by-step explanation:

8x÷4 = 12÷4

2x = 3

x = 3/2 = 1.5

2y + 10 = 22

2y = 12

y = 6

1.5 + 6 = 7.5 = 7½

There exists a similarity transformation that maps ABC to A'B'C. The measure ofthe measure of

Answers

Answer:

Step-by-step explanation: For any triangle, the angles add to 180 degrees

A+B+C = 180

68+46+C = 180

114+C = 180

C+114 = 180

C+114-114 = 180-114

C = 66

Angle C is 66 degrees

Angle C' is 66 degrees

The triangles ABC and A'B'C' are similar, so angle C = angle C'

Which of the following statements are true? Check all that apply For all real numbers a and b, a b b+ a For all real numbers a and b, ab ba. For all real numbers a and b, a b a For all real numbers a and b For all real numbers a, and c, (a b) c a (b c) b For all real numbers a, b and c, (a b) c a (b-c For all real numbers a, b and c, a b c) ab ac

Answers

Among the options for the property of the real numbers, are as follows, 1,2,5, and 7.

Gvien that,
Among the option, to choose the correct option which holds the property mentioned for the real numbers

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmeticstructure.

Here,

for a and b, all real number
(1)
a + b = a + b, ture

(2)
ab = ba, true

(3)
a - b ≠ b - a false

(4)
a / b ≠ b/a, flase

(5)

(a + b) + c = a + (b + c), true

(6)

(a - b) - c = a - (b - c), false

(7)

a(b + c) = ab + ac

Thus, among the options, the correctoption is as follows, 1,2,5, and 7.

Learn more about the number system here:

brainly.com/question/22046046

#SPJ2

The actual answers are 1,2,5, and 7 ik this bc i got it wrong and it said these are correct

Using the graph of f(x) = log10x below, approximate the value of y in the equation 10y = 6

Answers

The given function is

f(x)= log 10 x

Taking base as 10

$y=\log_(10)10 +\log_(10)x$ →→Using the property of, log a b= log a + log b

→y = 1 + $\log_(10)x$ as, $\log_(10)10=1$

we have to approximate the value of y in the equation

→10 y = 6

→y= $(6)/(10)$

$(6)/(10)$ = 1 + $\log_(10)x$

$\log_(10)x$ = $(-4)/(10)$

x= $(10)^{(-4)/(10)}$ = $(10)^(-0.4)$ =0.398

Solving graphically,

we get , x= 0.398 for , y= $(6)/(10)$ =.6

f(x) = ㏒(10x)
f(x) = ㏒₁₀(10x)

10y = 6
10 10
y = 0.6

f(x) = ㏒₁₀(10x)
0.6 = ㏒₁₀(10x)
$10^(0.6) = 10x$
$10^{(3)/(5)} = 10x$
$\sqrt[5]{10^(3)} = 10x$
$\sqrt[5]{1000} = 10x$
$\frac{\sqrt[5]{1000}}{10} = x$
$(3.98)/(10) \approx x$
$0.398 \approx x$

BRAINLISTTTT!!!!
Match each system of equations with its number of solutions

Answers

Answer:

1st: 0 solutions

2nd: infinitely many solutions

3rd: 1 solution

Step-by-step explanation:

1st: add both equations and the result is 0 = 4 ⇒ inconsistent, no solution

2nd: add both equations and the result is 0 = 0 ⇒ it's true, for all x and y values

3rd: add both equations and obtain: 16x = 32 ⇒ x = 2,

then if you want to obtain y, replace x in any of both equations.

Conclusion is that only 1 solution (x = 2 and a unnique value for y) is obtained.