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serious [3.7K]
3 years ago
6

Find the x will name brainlist

Mathematics
1 answer:
Alenkasestr [34]3 years ago
8 0

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Find x.

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

To solve these type of problems you need to use the pythagoras theorem ⇨ Hypotenuse² = Base² + Altitude².

Here,

  • Altitude = 1.6 cm.
  • Base = 1.2 cm
  • Hypotenuse = x

Now, let's solve for x.

Hypotenuse² = Base² + Altitude²

x² = (1.2)² + (1.6)²

x² = 1.44 + 2.56

x² = 4

x = √4

x = <em><u>2</u></em><em><u>.</u></em>

  • So, the value of x is <em><u>2</u><u> </u><u>cm.</u></em>

<h3><u>NOTE</u><u> </u><u>:</u><u>-</u></h3>
  • Pythagoras theorem can be used only in the cases of right-angled triangles. Here, it's given that the triangle is right angled so we can use this theorem.
  • To solve the squares if decimals, take them as whole numbers & then just add the decimal points. For example, ⇨ for (1.2)², take it as 12² , then multiply 12 by 12, you'll get 144. Now, add the decimal place accordingly ⇨ 1.44 . So, (1.2)² = 1.44.
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During the construction of a road a mountain of 250 metres in height, through it will be the construction of a tunnel. The top o
raketka [301]

Answer:

542.74 m

Step-by-step explanation:

Tan(48.3) = 250/a Multiply by a

a*tan(48.3) = 250 Divide by tan(48.3)

a = 250/Tan(48.3)

a =222.74

By a similar method b = 250/tan(38)

b = 319.99'

The total length =542.73 meters

3 0
3 years ago
Solve the equation for x, where x is a real number (5 points): <br> -3x^2 + 6x + 9 = 7
lana66690 [7]
Add -7 to both sides so that the equation becomes -3x^2 + 6x + 2 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                                       x = [ -b ± √(b^2 - 4ac) ] / (2a)
                                       x = [ -6 ± √((6)^2 - 4(-3)(2)) ] / ( 2(-3) )
                                       x = [-6 ± √(36 - (-24) ) ] / ( -6 )
                                       x = [-6 ± √(60) ] / ( -6)
                                       x = [-6 ± 2*sqrt(15) ] / ( -6 )
                                       x = 1 ± -sqrt(15)/3
The answers are 1 + sqrt(15)/3 and 1 - sqrt(15)/3.
7 0
3 years ago
Please help it's due today​
sergiy2304 [10]

Answer:

9/7, 1/6, -3, 4/5

Step-by-step explanation:

Use the gradient =\frac{rise}{run} formula to solve this.

4: gradient = \frac{14-5}{8-1} = \frac{9}{7}

5: gradient = \frac{10-9}{2-(-4)} = \frac{1}{6}

6: gradient = \frac{-5-4}{6-3} = \frac{-9}{3}  = -3

7: gradient = \frac{-1-(-5)}{7-2} = \frac{4}{5}

6 0
3 years ago
Find the value of a.
Elena-2011 [213]

Answer: 14

Step-by-step explanation: The perimeter is all of the side added together. When finding the perimeter of a rectangle the opposing sides have the same value. So the equation would be 2(12) + 2(a) = 52. 12 x 2 is 24. 52- 24 is 28 and youre left with 28 = 2(a). You divide each side by 2 and get 14 = a

6 0
3 years ago
Which of the following functions is graphed below hellppp
ch4aika [34]

Answer:

The correct answer is option C.

Step-by-step explanation:

In order to determine the equation of the function, whose graph is given to us in the question, we can use the various coordinates points and the points of discontinuities. Also, we can see the type of graph, for example, a parabolic, straight line etc.

Now, in the graph given in the question, we can see that from x<1, the graph is parabolic given by  y=x^2+2 and also we can see that x=1 is the discontinuous point, so we will not take x=1 in the domain of the function.

Now when x\geq 1, we have the straight line that is given by y=-x+2

where the curve is defined for x=1 also.

So, we will have the step-wise function whose equation will be given by option C.

8 0
3 years ago
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