What’s the correct answer

Jason grew from 36 inches to 40 inches in 1 year. By percent did his growth increase? Round your answer off to the nearest tenth

IrinaVladis [17]

Answer:

33%

Step-by-step explanation:

7 0

2 years ago

A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus.

Alisiya [41]

Answer:

The value of x is 55 ⇒ 2nd answer

Step-by-step explanation:

* Lets revise the properties of the rhombus

- It has 4 equal sides

- Every two opposite sides are parallel

- Every two opposite angles are equal

- Every two adjacent angles are supplementary (their sum is 180°)

* Now lets solve the problem

- A square divided into two rectangles

- Each rectangle contains a shaded rhombus

- The shaded rhombus has two adjacent angles their measures are

(2x + 20)° and 50°

∵ Every two adjacent angles in the rhombus are supplementary

∵ The sum of the supplementary angles = 180°

∴ The sum of the measures of the angles (2x + 20)° and 50° is 180°

- lets put the equation and solve it to find x

∴ (2x + 20)° + 50° = 180° ⇒ add the like terms

∴ 2x + 70° = 180° ⇒ subtract 70° from both sides

∴ 2x = 110° ⇒ divide both sides by 2

∴ x = 55°

* The value of x is 55

7 0

2 years ago

Read 2 more answers

A parabolic satellite dish reflects signals to the dish’s focal point. An antenna designer analyzed signals transmitted to a sat

ivolga24 [154]

Answer:

$c=\frac{16}{39}$

Step-by-step explanation:

The probability density function is :

$f(x)=c(1-\frac{1}{16}x^{2})$

With 0 < x < 3

To be a valid probability density function :

$\int\limits^b_a {f(x)} \,dx=1$

Where a < x < b

And also

f(x) ≥ 0 for a < x < b

Applying this to the probability density function of the exercise :

$\int\limits^3_0 {c(1-\frac{1}{16}x^{2})} \, dx=1$

$c\int\limits^3_0 {(1-\frac{1}{16}x^{2})} \, dx=1$

$c(3-\frac{1}{16}\frac{3^{3}}{3})=1$

$c(\frac{39}{16})=1$

$c=\frac{16}{39}$

We can verify by replacing ''c'' in the original probability density function and integrating :

$\int\limits^3_0 {\frac{16}{39}(1-\frac{1}{16}x^{2})} \, dx=$

$=\frac{16}{39}.(3)-\frac{1}{39}.(\frac{3^{3}}{3})=\frac{16}{13}-\frac{3}{13}=\frac{13}{13}=1$

Also, f(x) ≥ 0 for 0 < x < 3

4 0

3 years ago

A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of

Gnom [1K]

Answer:

b

Step-by-step explanation:

i did it

8 0

1 year ago

Read 2 more answers

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ

OleMash [197]

Answer:

Each associate costs the client $700 per day, so a associates will cost the client 700a dollars per day. Each partner costs the client $1500 per day, so p partners will cost the client 1500p dollars per day. The total amount charged 700a+1500p :$14100:

700a+1500p=14100

Since there were a total of 11 lawyers assigned to the case (associates and partners), we know a+pa+p must equal 11.11.

a+p=11

\underline{\text{Write System of Equations:}}

Write System of Equations:

700a+1500p=

700a+1500p=14100

14100

a+p=11

11

8 0

2 years ago