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Karo-lina-s [1.5K]

2 years ago

10

Identify all sequences of transformations that results in similar figures.

1 answer:

Rus_ich [418]2 years ago

7 0

A is the answer. Reflection and rotation.

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On the weekdays a grocery store has 14239 customers and on the weekends the grocery store has

Vedmedyk [2.9K]

Answer: 2605 more on weekdays

Step-by-step explanation:

14239 - 11634 = 2605

8 0

10 months ago

A kite is 85 feet high with 100 feet of string let out. What is the angle of elevation of the string with the ground? Please sho

a_sh-v [17]

Answer:

58°

Step-by-step explanation:

A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.

The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.

Sin = Opposite/Hypotenuse

sin(α) = (85 ft)/(100 ft) = 0.85

The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:

α = arcsin(0.85) ≈ 58.2°

The angle of elevation is about 58°.

_____

When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).

6 0

2 years ago

The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3<br> are…

Leokris [45]

Answer:

$\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}$

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

$\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3$

For finding the x intercept , <u>equate the given function with 0, we have ;</u>

$\sf \implies 2x ( x - 5 )^2(x+4)^3= 0$

Equate each factor with 0 ,

$\sf \implies 2x = 0$

Divide both sides by 2 ,

$\sf \implies\bf x = 0$

Again ,

$\sf \implies ( x - 5)^2=0$

Taking squareroot on both sides,

$\sf \implies x - 5 = 0$

Add 5 to both sides,

$\sf \implies \bf x = 5$

Similarly ,

$\sf \implies \bf x = -4$

<u>Hence</u><u> the</u><u> </u><u>x </u><u>Intercepts</u><u> </u><u>are </u><u>-</u><u>4</u><u> </u><u>,</u><u> </u><u>0</u><u> </u><u>and </u><u>5</u><u> </u><u>.</u>

{ See attachment also for graph } .

3 0

2 years ago

Pierre deposits $9,000 in a certificate of deposit that pays 1.4% interest, compounded semi-annually.

Elenna [48]

9514 1404 393

Answer:

interest: $63
balance: $9063

Step-by-step explanation:

After 6 months, the interest accrued is ...

I = Prt

I = $9000·0.014·(6/12) = $63

This is added to the principal to get the balance at that point in time.

$9000 +63 = $9063

__

The interest earned in the first 6 months is $63. The balance after 6 months is $9063.

_____

The compound interest formula will give you the same result for one compounding period. It tells you the balance is ...

A = P(1 +r/n)^(nt)

where n is the number of times interest is compounded in a year (2), and t is the number of years (1/2). For annual rate r = 1.4%, this is ...

A = $9000(1 +0.007)^(2×1/2) = $9000·1.007 = $9063

5 0

2 years ago

What is the solution of the following system use the elimination method

amm1812

so, x =

$- \frac{3}{2}$

and y =

$4$

Hence, the answer is the first one.

6 0

2 years ago