PLEASE HELPPPPP!!!!!!!!!!!!

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.

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

$\text{The length of the longer diagonal}=4+9.54$

$\text{The length of the longer diagonal}=13.54$

Therefore, the length of longer diagonal is approximately 13.54 inches.

3 0

3 years ago

Someone help ASAP!!!!!!

Alchen [17]

Answer:

Length, l = 11 ft.

Width, w = 9 ft.

Step-by-step explanation:

From the given data, the area of the rectangle = 99 ft².

Area of the rectangle = Length, l X Width, w

Here, Length, l = 7 more than twice the width

⇒ Length, l = 7 + 2w

Therefore, Area, A = 99 = (7 + 2w)w

⇒ 99 = 7w + 2w²

⇒ 2w² + 7w - 99 = 0

Solve the Quadratic equation using the formula: x = $\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ for the quadratic equation ax² + bx + c = 0.

Therefore, w = $\frac{-7 \pm \sqrt{7^2 -4(2)(-99)}}{2(2)}$

$= \frac{-7 \pm \sqrt{49 + 8(99)}}{4}$

$= \frac{-7 \pm + \sqrt{841}}{4}$

Since, $\sqrt{841} = 29$ we get:

$w = \frac{-7 \pm 29}{4}$

This gives two values of 'w', viz., w = $\frac{-7 - 29}{4}$ , $\frac{-7 + 29}{4}$

$\implies w = \frac{22}{4}, \frac{-36}{4}$

⇒ w = $\frac{22}{4}$ , -9.

We take the integer values.

If w = -9, then l = 2(-9) + 7

⇒ l = - 18 + 7 = - 11

Therefore, the length, l of the rectangle = - 11 ft.

and the width, w of the rectangle = - 9 ft.

Hence, the answer.

3 0

3 years ago

Wuts the answer to this problem

Mazyrski [523]

Answer:

Jane is 14 $\frac{3}{10}$

Step-by-step explanation:

The age of each person increases by a fractional amount. In order to find Jane's age, you will need to start with Ari's age and then add the additional fractional amounts. In order to add with fractions, the denominators must be the same. In the case of Glen, you can figure his age out first:

12 $\frac{4}{5}$ + 1 $\frac{1}{6}$

5 and 6 have a common denominator of 30, so multiply the numerator and denominator by the same factor and than add:

12 $\frac{4}{5}$ = 12 $\frac{24}{30}$ + 1 $\frac{1}{6}$ or 1 $\frac{5}{30}$ = 13 $\frac{29}{30}$

Taking Glen's age and adding the additional amount for Jane:

13 $\frac{29}{30}$ + 1 $\frac{1}{3}$ or 1 $\frac{10}{30}$ =14 $\frac{3}{10}$

8 0

3 years ago

A distributor of cosmetics has sales representatives in various metropolitan areas all over the country. They have collected dat

kompoz [17]

Answer:

The results are given by:___________.

the equation, y = ax+b.

where a = the slope of the line and b is the intercept or the value of Y when X = 0.

Step-by-step explanation:

The simple linear regression is a model for estimating the relationship that exists between an independent variable and a dependent variable. The model uses a straight line for two quantitative variables. With a scatter graph, the line of best fit is given as the equation, y = bX + a. This equation determines the values of b and a for a dataset of two variables. It can also be used to estimate the value of Y for a given value of X.

8 0

3 years ago

-2.4x+3.8x-x please helpppp

nataly862011 [7]

Answer:

0.4x

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

-2.4x + 3.8x - x

Step 2: Simplify

Combine like terms: 1.4x - x
Combine like terms: 0.4x

4 0

3 years ago