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Vilka [71]
3 years ago
10

Can someone please help with these

Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0

3. The simplest form of √42 is √42


4. √75

Rewrite 75 as 5^2 * 3

Now you have √(5^2*3)

Pull squared terms out from the radical to get 5√3

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Ms. Stone decided to purchase 2 reusable bottles instead. When she got to the counter, she realized she had $10.15, only ⅝ of th
Bumek [7]

Answer:

The price of one reusable bottle is $8.12

Step-by-steetp explanation:

Ms stone wanted to purchase two reusable bottles but discovered she had only ⅝of the Mone and that ⅝ is equal to $ 10.15.

So the cost of what she wants to purchase will be called x.

Mathematically

⅝ * x = 10.15

X = (10.15*8)/5

X = 81.2/5

X= 16.24

The price of the two bottles is $16.24

So the price if one bottle will be calculated as follows.

2 bottles=$ 16.24

One bottle= $16.24/2

One bottle= $8.12

The price of one reusable bottle is $8.12

6 0
3 years ago
Precal : Note: Triangle may not be drawn to scale. Suppose a = 3 and A = 15 degrees
drek231 [11]

Given:

In a right triangle at B,

\begin{gathered} a=3 \\ A=15^{\circ} \end{gathered}

To find:

The length of the sides b and c and angle B.

Explanation:

Using the trigonometric ratio,

\begin{gathered} sinA=\frac{a}{c} \\ \sin15^{\circ}=\frac{3}{c} \\ c=\frac{3}{\sin15^{\circ}} \\ c=11.59 \\ c\approx11.6 \end{gathered}

Using the trigonometric ratio,

\begin{gathered} \tan A=\frac{a}{b} \\ \tan15^{\circ}=\frac{3}{b} \\ b=\frac{3}{\tan15^{\circ}} \\ b=11.19 \\ b\approx11.2 \end{gathered}

Using the angle sum property,

The angle B becomes,

\begin{gathered} 90+15+B=180 \\ B=180-90-15 \\ B=75^{\circ} \end{gathered}

Final answer:

The values are,

\begin{gathered} b=11.2 \\ c=11.6 \\ B=75^{\circ} \end{gathered}

3 0
1 year ago
Find the sum : 1/2( x+7) = 32
Gennadij [26K]

Answer:

x=52

I think it is the answer

4 0
3 years ago
Read 2 more answers
What is the surface area of a rectangular prism with a length of 3 mm, a width of 5 mm, and a height of 8 mm?
kherson [118]
158, because to solve this question we first need to know the formula for finding the surface area of a rectangular prism which is A=<span>2<span>(<span><span><span>wl</span>+<span>hl</span></span>+<span>hw</span></span><span>) then you just need to input the numbers like so A=2(5*3+8*3+8*5) then when you simplify this down you get A=2(79) then distribute like so so A=158

Enjoy!=)</span></span></span>
8 0
3 years ago
The scale factor of the blueprint of a garage door to the actual garage door is 0.05. the are of the actual garage door is 220 f
erastovalidia [21]
The scale factor 0.05 refers to length, so for area the scale factor is 0.05²=0.0025.

We then multiply: 220 ft²*0.0025=0.55 ft² (choice A)
8 0
3 years ago
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