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inessss [21]
3 years ago
12

Write the phrase as an expression. Five more that six divided by a number r.

Mathematics
2 answers:
Nuetrik [128]3 years ago
7 0

Answer:

6/r + 5

Step-by-step explanation:

Alex787 [66]3 years ago
5 0

Answer:

(6 + 5) / r

Step-by-step explanation:

5 more means you're adding something to another number, in this case six. Throw them in brackets to abide by BEDMAS rules and divide it by r!

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#1
musickatia [10]

Answer:x=1, y=2, z=-1

Step-by-step explanation:

5 0
3 years ago
Create an equivalent expression for 13 ^−7 x 13 ^5.
Sveta_85 [38]

13^{-7} \times 13^5=13^{-2}=\boxed{\frac{1}{13^2}}

8 0
1 year ago
Read 2 more answers
Looking at the top of tower A and base of tower B from points C and D, we find that ∠ACD = 60°, ∠ADC = 75° and ∠ADB = 30°. Let t
katrin2010 [14]

Answer:

\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24

Step-by-step explanation:

We can use the Law of Sines to find segment AD, which happens to be a leg of \triangle ACD and the hypotenuse of \triangle ADB.

The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is \angle CAD. The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}

Now use this value in the Law of Sines to find AD:

\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}

Recall that \sin 45^{\circ}=\frac{\sqrt{2}}{2} and \sin 60^{\circ}=\frac{\sqrt{3}}{2}:

AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}

Now that we have the length of AD, we can find the length of AB. The right triangle \triangle ADB is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio x:x\sqrt{3}:2x, where x is the side opposite to the 30 degree angle and 2x is the length of the hypotenuse.

Since AD is the hypotenuse, it must represent 2x in this ratio and since AB is the side opposite to the 30 degree angle, it must represent x in this ratio (Derive from basic trig for a right triangle and \sin 30^{\circ}=\frac{1}{2}).

Therefore, AB must be exactly half of AD:

AB=\frac{1}{2}AD,\\AB=\frac{1}{2}\cdot 50\sqrt{6},\\AB=\frac{50\sqrt{6}}{2}=\boxed{25\sqrt{6}}\approx 61.24

3 0
2 years ago
Read 2 more answers
What’s equivalent to 5X -20 minus X +9
slega [8]

Answer:

No answer

Step-by-step explanation:

5x-20-X+9

7x-20+9

7x-11

5 0
3 years ago
Select the correct answer. What is the domain of the function f(x) = 2x + 5?
lawyer [7]

The domain of the function is the complete set of possible values of the independent variable. (−∞,∞),{x|x ∈ R}

<h3>What is the domain function?</h3>

The domain is the set of values for which the given function is defined.

The given function;

f(x) = 2x + 5

The domain of the given function is all real numbers except where the function is undefined.

In this case, there is no real number that makes the function undefined.

The domain of the function is the complete set of possible values of the independent variable.

(−∞,∞),{x|x ∈ R}

The range is the set of all valid y values.

Learn more about appropriate domain here:

brainly.com/question/20073127

#SPJ1

4 0
2 years ago
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