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SOVA2 [1]
3 years ago
12

Find sin^4(a) + cos^4(a), if cos(a) + sin(a) = 1/3

Mathematics
1 answer:
zimovet [89]3 years ago
3 0
Answer is 49/81, or (7/9)²
step by step in the pic below

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The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle m
evablogger [386]
ANSWER

x = 50.5 \degree

EXPLANATION

We use the sine rule for solving triangles.

This is given by the formula,


\frac{ \sin(A) }{a}  =  \frac{ \sin(B) }{b}  = \frac{ \sin(C) }{c}


From the triangle,

\frac{ \sin(x) }{60}  =  \frac{ \sin(40) }{50}

We multiply both sides of the equation by 60 to get,

sin(x)  =  \frac{ 60\sin(40 \degree) }{50}


sin(x)  = 0.7713



We solve for x to obtain,

x = arcsin(0.7713)


x = 50.475

To the nearest tenth, we round to one decimal place to get,

x = 50.5 \degree

7 0
4 years ago
A researcher was studying how the weights of horseshoe crabs along the East Coast vary between northern and southern habitats. I
Ronch [10]

Answer:

Option D (the weight of crab) would be the correct choice.

Step-by-step explanation:

  • In mathematics, the sum being analyzed depending on a variety of parameters, which have been calculated as explanatory variables, has become a response variable.
  • It is analogous with the utilization of the definition of variables of the study. A variable with an order to respond is categorized as either a dependent variable.

Some other preferences are not connected with the sustaining. So choice D is the right one.

6 0
4 years ago
Help Me Please!!!!1
Lena [83]

Answer:

The space inside the box = 2197 in³ - 1436.76 in³ is 760.245 in³.

Step-by-step explanation:

Here we have the volume of the cube box given by the following relation;

Volume of cube = Length. L × Breadth, B × Height, h

However, in a cube  Length. L =  Breadth, B = Height, h

Therefore, volume of cube = L×L×L = 13³ = 2197 in³

Volume of the basketball is given by the volume of a sphere as follows;

Volume = \frac{4}{3} \pi r^3

Where:

r = Radius = Diameter/2 = 14/2 = 7in

∴ Volume of the basketball = \frac{4}{3} \times  \pi \times 7^3 = 1436.76 \ in^3

Therefore, the space inside the box that is not taken up by the basketball is found by subtracting the volume of the basketball from the volume of the cube box, thus;

The space inside the box = 2197 in³ - 1436.76 in³ = 760.245 in³.

7 0
3 years ago
Middle school math with pozzazzi! Book C C-31 what did the football coach send in a bunch of second string players?
Tamiku [17]

Answer:

Step-by-step explanation:

3 0
3 years ago
How do you find the radius of a cylinder?
zmey [24]

Answer:

√(V / π × h), where V is the volume of the cylinder, h is the height, and π(Pi) is a mathematical constant with an approximate value of 3.14

7 0
3 years ago
Read 2 more answers
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