All categories

2 years ago

Which algebraic expression is equivalent to this expression?

Mathematics

1 answer:

Leno4ka [110]2 years ago

3 0

The numerical value of this algebraic expression is 123

Step-by-step explanation:

To solve this algebraic expression, we're going to subtract the numbers indicated in parentheses, and finally, we're going to multiply and add the numbers.

Resolution:

$\large \sf =6(22 - 12) + 63$

$\large \sf =6(10) + 63$

$\large \sf =60 + 63$

$\boxed{\boxed{{\large \sf 123}}}$

Therefore, we can conclude that the numeric value of this expression will be 123

You might be interested in

What is the square root of 75 in the simplest form

lesantik [10]

Answer:

$5\sqrt{3}$

Step-by-step explanation:

$\sqrt{75} = \sqrt{5^{2}*3} =5\sqrt{3}$

8 0

2 years ago

Read 2 more answers

Graph -2x+10+5y=0 using intercepts. Add two intercept points on the graph.

mihalych1998 [28]

If you need any steps explained lmk

7 0

2 years ago

Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on

Volgvan

Answer:

The height of the bullding is 717 ft

Step-by-step explanation:

Right Triangles

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

$\displaystyle \tan 82^\circ=\frac{h}{100}$

Solving for h:

$h = 100\tan 82^\circ$

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

7 0

3 years ago

Calculate the annual return percentage

const2013 [10]

The annual returns will be calculated as follows:
a] Here we use the formula:
A=p(1+r/100)^n
A=future amount
p=principle
r=returns
n=time
We are given:
A=500, p=400, t=1
Plugging the values in the formula we obtain:
500=400(1+r)^1
simplifying and solving for r:
1.25=1+r
thus
r=1.25-1
r=0.25~25%

b] Using the formula above:
A=p(1+r/100)^n
A=2500+100=2600, p=2000, n=1 year
plugging the values in the equation we obtain:
2600=2000(1+r)^1
simplifying and solving for r we obtain:
2600/2000=1+r
1.3=1+r
hence
r=1.3-1
r=0.3~30%

7 0

3 years ago

What is the surface area of the figure shown?

Shalnov [3]

Answer:

The surface area of the figure = 962 ft²

Step-by-step explanation:

The rectangle dimensions and its area given below

Dimensions Number Area

12 x 7 2 12 x 7 x 2 = 168

16 x 7 1 16 x 7 = 112

12 x (16 + 5) 1 12 x 21 = 252

16 x 12 1 16 x 12 = 192

16 x 13 1 16 x 13 = 208

Triangle dimensions

Dimensions Number Area

b = 12 & h = 5 2 bh/2 = (12*5)/2 = 30

To find total area

Total area = 168 + 112 + 252 + 192 + 208 + 30 = 962 ft²

5 0

3 years ago