Please help me solve this table question.

: Find the approximate perimeter of the isosceles triangle A OPD.

AleksAgata [21]

Answer:

24.98 units

Step-by-step explanation:

The picture of the question in the attached figure

we have the coordinates

P(1,-6),D(4,3),O(7,-6)

The perimeter of triangle OPD is equal to

$P=OP+PD+OD$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance OP

we have

O(7,-6),P(1,-6)

substitute in the formula

$d=\sqrt{(-6+6)^{2}+(1-7)^{2}}$

$d=\sqrt{(0)^{2}+(-6)^{2}}$

$d_O_P=6\ units$

step 2

Find the distance PD

we have

P(1,-6),D(4,3)

substitute in the formula

$d=\sqrt{(3+6)^{2}+(4-1)^{2}}$

$d=\sqrt{(9)^{2}+(3)^{2}}$

$d_P_D=\sqrt{90}\ units$

step 3

Find the distance OD

we have

O(7,-6),D(4,3)

substitute in the formula

$d=\sqrt{(3+6)^{2}+(4-7)^{2}}$

$d=\sqrt{(9)^{2}+(-3)^{2}}$

$d_O_D=\sqrt{90}\ units$

step 4

Find the perimeter

$P=6+\sqrt{90}+\sqrt{90}$

$P=6+9.49+9.49=24.98\ units$

4 0

3 years ago

ryan is seeling cookies to raise money for charity. he is selling chocolate chip cookies for $10 a package and sugar cookies for

Lapatulllka [165]

Answer:

The number of packages of chocolate chip cookies sold was 44 and the number of packages of sugar cookies sold 161

Step-by-step explanation:

Let

x ----> the number of packages of chocolate chip cookies sold

y ----> the number of packages of sugar cookies sold

we know that

$10x+4y=1,084$ -----> equation A

$x+y=205$ -----> equation B

Solve the system of equations by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is the point (44,161)

see the attached figure

therefore

The number of packages of chocolate chip cookies sold was 44 and the number of packages of sugar cookies sold 161

8 0

3 years ago

Kyle has a storage box that is 2 ft. Long, 3 ft. High, and has a volume of 12 ft. 3 12 ft.3. Myla has a storage box that is 4 ft

Alex17521 [72]

Answer: The widths of Kyle and Myla's boxes is the same as 2 ft.

Step-by-step explanation:

Formula : Volume of cuboidal box = length x width x height

$width=\dfrac{Volume}{length\times height}$

Given: Kyle has a storage box that is 2 ft. Long, 3 ft. High, and has a volume of 12 ft³ .

$width=\dfrac{12}{2\times3}=2\ ft.$

Myla has a storage box that is 4 ft. High, 2 ft. Long, and has a volume of 16 ft³.

$width=\dfrac{16}{4\times2}=2\ ft.$

Hence, the widths of Kyle and Myla's boxes is the same as 2 ft.

4 0

3 years ago

A sample of 36 observations is selected from one population with a population standard deviation of 4.2. The sample mean is 101.

Digiron [165]

Answer:

Step-by-step explanation:

Given that :

the null and the alternative hypothesis are computed as :

$H_o: \mu_1 = \mu_2$

$H_a : \mu _1 \neq \mu_2$

This is a two tailed test

This is because of the ≠ sign in the alternative hypothesis which signifies that the rejection region in the alternative hypothesis are at the both sides of the hypothesized mean difference .

Decision Rule: at the level of significance ∝ = 0 . 10

The decision rule is to reject the null hypothesis if z < - 1 . 64 and z > 1 . 64

NOTE: DURING THE MOMENT OF TYPING THIS ANSWER THERE IS A TECHNICAL ISSUE WHICH MAKES ME TO BE UNABLE TO SUBMIT THE FULL ANSWER BUT I'VE MADE SCREENSHOTS OF THEM AND THEY CAN BE FOUND IN THE ATTACHED FILE BELOW

5 0

3 years ago

Whitch ordered pairs are solutions to the inequality y-4x≤-6

konstantin123 [22]

Answer:

y </ 4x - 6

Step-by-step explanation:

6 0

3 years ago

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