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Fofino [41]
3 years ago
8

5. Marcy's breakfast table has a square top with an area of 36 square feet. 1 point

Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0
D, 8.5

a squared + b squared = c squared for the sides and hypotenuse of the triangle.

6^2 + 6^2 = c^2
36 + 36 = c^2
72 = c^2
c = square root of 72, 8.49
You might be interested in
identify all the pionts that would lie on the line y=1/3x + 9. answer choices A: 0,9 B: -9,6 C: 3,10 D: 12,-5
Sladkaya [172]

Answer:


Step-by-step explanation:3x+9 a becuase o,9is the answer



8 0
2 years ago
8/11 x (5/9 - 1/6) ÷ 1 5/9​
Oksana_A [137]

Answer:

28/165

Step-by-step explanation:

You always use the order of operations, and the order of operations says to solve parentheses first, so you would solve 5/9 - 1/6, and get 7/18.

You would do exponents next, if there were any, but there is not, so you move on to the next operation(s).

The next operations are multiplication and division. From left to right, multiplication is first, so you solve 8/11 x 7/18 and get 28/99. Then, there is a division problem to solve. The problem is 28/99 ÷ 15/9. If you solve that correctly, you will get the answer 28/165.

The next step would be to simplify 28/165, but it cannot be simplified, so you are left with the answer 28/165.

4 0
3 years ago
The length and width of a rectangle are measured as 27 cm and 50 cm, respectively, with an error in measurement of at most 0.1 c
Tomtit [17]

Answer:

7.7cm

Step-by-step explanation:

Area of a rectangle is expressed as

A = Length × Width

A = LW

Let dL and dW be the errors in the measurements.

If there is an error of at most 0.1cm each in the measurement, then dL = dW = 0.1cm.

The area of the rectangle with error will be expressed as A = LdW + WdL

Given L = 27cm and W = 50cm

A = 27(0.1)+50(0.1)

A = 2.7+5.0

A = 7.7cm

Hence, the maximum error in the calculated area of the rectangle is 7.7cm

7 0
3 years ago
Y=-x^2+6x-4<br> Find the Axis of Symmetry and the Vertex, Also solve the whole equation.
Inessa [10]

Answer:

1. <em>Axis of symmetry</em>: x = 3

2. <em>Vertex:</em> (3,5)

3. <em>Solution of the equation</em>:

<u />

  • x-intercepts:

               (3-\sqrt{5},0) \\\\(3+\sqrt{5},0)

  • y-intercept: (0, -4)

Explanation:

<u>1. Equation:</u>

    y=-x^2+6x-4

<u>2. </u><em><u>Axis of symmetry:</u></em>

That is the equation of a parabola, whose standard form is:

                 y=ax^2+bx+c

Where:    

                 a=-1;b=6;c=-4

The axis of symmetry is the vertical line with equation:

               x=-b/2a

Substitute  a=-1,\text{ and }b=6

          x=-6/[(2)(-1)]=-6/(-2)=3

Thus, the axis of symmetry is:

            x=3

<em><u>3. Vertex</u></em>

<em><u /></em>

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

               y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5

Therefore, the vertex is (3, 5)

<u>4. Find the x-intercepts</u>

The x-intercepts are the roots of the equation, which are the points wher y = 0.

        y=-x^2+6x-4=0

Use the quadratic equation:

       x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}

<u>5. Find the y-intercept</u>

<u />

The y-intercet is the value of y when x=0:

         y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4

7 0
3 years ago
What is the vaule of the x
Amiraneli [1.4K]
D. X=3cm
Since the triangles are similar, just set up a proportion to solve for x.

4/8=x/6. Then just cross multiply and solve from there.
6 0
3 years ago
Read 2 more answers
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