In this survey, 77 people prefer basketball. In a survey done a couple months later, only 70

What is the value of d when 11(d+1)=4(d+8)

andreev551 [17]

The answer is D=3 11(3*+1)=4(3*+8)
11(4)=4(11)
44=44

4 0

3 years ago

The price of a dress is reduced by 60%.When the dress still does not sell, it is reduced by 60% of the reduced price. If the pr

Nina [5.8K]

Answer:

1. $450

2. $128

Step-by-step explanation:

1. new price = .4 (.4 * original price x)

72 = .16x

x = 450

2. new price = .75 (.75 * original price x)

72 = .5625x

x = 128

6 0

3 years ago

The functions f(x) = -1+2 and

xz_007 [3.2K]

The graph of f(x) is given. And equation of g(x)= -f(x+2)

f(x+2) means f(x) will move 2 units left. And the negative in front means reflection on x axis.

3 0

3 years ago

Maci and I are making a small kite. Two sides are 10". Two sides are 5". The shorter diagonal is 6". Round all your answers to t

Art [367]

Answer:

A. 4".

B. Approximately 9.54".

C. Approximately 13.54".

Step-by-step explanation:

Please find the attachment.

Let x be the distance from the peak of the kite to the intersection of the diagonals and y be the distance from the peak of the kite to the intersection of the diagonals.

We have been given that two sides of a kite are 10 inches and two sides are 5 inches. The shorter diagonal is 6 inches.

A. Since we know that the diagonals of a kite are perpendicular and one diagonal (the main diagonal) is the perpendicular bisector of the shorter diagonal.

We can see from our attachment that point O is the intersection of both diagonals. In triangle AOD the side length AD will be hypotenuse and side length DO will be one leg.

We can find the value of x using Pythagorean theorem as:

$(AO)^2=(AD)^2-(DO)^2$

$x^{2}=5^2-3^2$

$x^{2}=25-9$

$x^{2}=16$

Upon taking square root of both sides of our equation we will get,

$x=\sqrt{16}$

$x=\pm 4$

Since distance can not be negative, therefore, the distance from the peak of the kite to the intersection of the diagonals is 4 inches.

B. We can see from our attachment that point O is the intersection of both diagonals. In triangle DOC the side length DC will be hypotenuse and side length DO will be one leg.

We can find the value of y using Pythagorean theorem as:

$(OC)^2=(DC)^2-(DO)^2$

Upon substituting our given values we will get,

$y^2=10^2-3^2$

$y^2=100-9$

$y^2=91$

Upon taking square root of both sides of our equation we will get,

$y=\sqrt{91}$

$y\pm 9.539392$

$y\pm\approx 9.54$

Since distance can not be negative, therefore, the distance from intersection of the diagonals to the top of the tail is approximately 9.54 inches.

C. We can see from our diagram that the length of longer diagram will be the sum of x and y.

$\text{The length of the longer diagonal}=x+y$