All categories

3 years ago

What is the length of CD to the nearest 10th?

Mathematics

1 answer:

Snezhnost [94]3 years ago

3 0

Answer:

$\huge \boxed{\mathrm{10.3 \ units}}$

Step-by-step explanation:

To solve for <em>CD</em>, we can create a right triangle.

Where <em>CD</em> becomes the hypotenuse.

The length of the base of the triangle is 9 units.

The length of the height of the triangle is 5 units.

Apply Pythagorean theorem to solve for the hypotenuse.

$\sf hypotenuse = \sqrt{(base )^2 +(height )^2 }$

$c=\sqrt{9^2 +5^2 }$

$c=\sqrt{106}$

$c \approx 10.29$

You might be interested in

Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45

sashaice [31]

Answer:

Step 2

Step-by-step explanation:

Michelle's step in trying to solve the equation is given below:

$\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}$

Michelle made a mistake in Step 2.

The right hand side of Step 1: $\dfrac45+\dfrac35\neq 1$

Rather, the correct sum is:

$\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25$

3 0

3 years ago

The expression, involving exponents , to represent the shaded area, in square inches, diagram. Then use that expression to calcu

mart [117]

Answer:

The shaded area is $23\ in^{2}$

Step-by-step explanation:

we know that

The shaded area is equal to the area of the large square minus the area of the two smaller squares

$A=6^{2} -(3^{2} +2^{2})\\ \\ A=(2*3)^{2} -(3^{2} +2^{2})\\ \\A=(2^{2})(3^{2}) -(3^{2} +2^{2})$

Calculate the shaded area

Remember that

$3^{2}=9\\ 2^{2}=4$

substitute

$A=(4)(9) -(9 +4)\\ \\A=36-13\\ \\A=23\ in^{2}$

5 0

3 years ago

Determine if the sides are greater than (>), less than (<), or equal (=) to each other.

DochEvi [55]

In ∆BCE

$\\ \sf\longmapsto$

Opposite side to <E=BC

Opposite side to <B=EC

<E=<B

$\\ \sf\longmapsto BC=EC$

4 0

2 years ago

You have a jar with 91 raisins. How many are left after you have eaten some?

Lemur [1.5K]

Answer: you choke and die by the time you hit 41 left :)

5 0

3 years ago

A piece of wire 5 m long is cut into two pieces. one piece is bent into a square and the other is bent into an equilateral trian

laiz [17]

They should use 5 meters of tape since u syarted off but now u will use 2 and a half of wire i mean wire

6 0

3 years ago