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padilas [110]
3 years ago
9

Can someone help me in this algebra questions please

Mathematics
1 answer:
alexgriva [62]3 years ago
8 0
For question 7 the answer is  x=0.5
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Can some one explain how to do this?
Delvig [45]

Answer:

see explanation

Step-by-step explanation:

Using the tangent and sine ratios in the right triangle EFG

tan60° = \frac{opposite}{adjacent} = \frac{FG}{EG} = \frac{28}{EG} ( multiply both sides by EG )

EG × tan60° = 28 ( divide both sides by tan60° )

EG = \frac{28}{tan60} ≈ 16.2 in ( to the nearest tenth )

--------------------------------------------------------------

sin60° = \frac{opposite}{hypotenuse} = \frac{FG}{EF} = \frac{28}{EF} ( multiply both sides by EF )

EF × sin60° = 28 ( divide both sides by sin60° )

EF = \frac{28}{sin60} ≈ 32.3 in ( to the nearest tenth )

3 0
3 years ago
3(2x+1)-2(x+1) is the same as
Dahasolnce [82]

Answer:

4x + 1 and 6x - 2x - 2 + 3

Step-by-step explanation:

we can expand and find 2 equations that are the same as this

one being 6x+3 -2x -2

and another being 4x + 1

hope this helps!

5 0
2 years ago
1. The sign outside Mrs. Washington’s catering company is in the shape of a trapezoid, as shown below.
inessss [21]

let's notice the tickmarks on  the left and right sides, meaning those two sides are twins, and therefore equal, so the perimeter is simply 2.5+2.5+3.5+2.5 = 11 ft.

the trapezoid has an altitude/height of 2 ft, thus

\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\[-0.5em] \hrulefill\\ a=2.5\\ b=3.5\\ h=2 \end{cases}\implies A=\cfrac{2(2.5+3.5)}{2}\implies A=6

3 0
3 years ago
What is 20:10 in its simplest<br><br> form
Hunter-Best [27]

Answer:

2/1

Step-by-step explanation:

20/10 devided by 10 to both numbers

3 0
3 years ago
Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n &gt; 1?
ASHA 777 [7]
Each term is minused 6

so
f(n)=f(n-1)-6
where f(1)=5
4 0
3 years ago
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