All categories

3 years ago

Please help me!!! I suck at math :((

Mathematics

1 answer:

stiks02 [169]3 years ago

7 0

If we know that line $AB$ is equal to line $AD$ , then this means that ∠ $ADB$ has to be equal to ∠ $ABD$ in order to form a closed triangle. All angle measures of a triangle add up to $180$ °, so use the equation: $2(35) + x = 180$ .

70 + x = 180

Subtract 70 from both sides to isolate x:

180 - 70 = 110

110 = x

Hope this helped.

You might be interested in

Analyze the following pattern 1,2,5,10,7

vodka [1.7K]

Answer:

an + 1 = an + 2n -1 ,a 1=1

a8= 50

Step-by-step explanation:

an+1=an+2n-1,a1=1

a6=a5+2x5-1

a6=26

a7=26+11

a7=37

a8=37+13

a8=50

6 0

3 years ago

(c). It is well known that the rate of flow can be found by measuring the volume of blood that flows past a point in a given tim

aleksklad [387]

(i) Given that

$V(R) = \displaystyle \int_0^R 2\pi K(R^2r-r^3) \, dr$

when R = 0.30 cm and v = (0.30 - 3.33r²) cm/s (which additionally tells us to take K = 1), then

$V(0.30) = \displaystyle \int_0^{0.30} 2\pi \left(0.30-3.33r^2\right)r \, dr \approx \boxed{0.0425}$

and this is a volume so it must be reported with units of cm³.

In Mathematica, you can first define the velocity function with

v[r_] := 0.30 - 3.33r^2

and additionally define the volume function with

V[R_] := Integrate[2 Pi v[r] r, {r, 0, R}]

Then get the desired volume by running V[0.30].

(ii) In full, the volume function is

$\displaystyle \int_0^R 2\pi K(R^2-r^2)r \, dr$

Compute the integral:

$V(R) = \displaystyle \int_0^R 2\pi K(R^2-r^2)r \, dr$

$V(R) = \displaystyle 2\pi K \int_0^R (R^2r-r^3) \, dr$

$V(R) = \displaystyle 2\pi K \left(\frac12 R^2r^2 - \frac14 r^4\right)\bigg_0^R$

$V(R) = \displaystyle 2\pi K \left(\frac{R^4}2- \frac{R^4}4\right)$

$V(R) = \displaystyle \boxed{\frac{\pi KR^4}2}$

In M, redefine the velocity function as

v[r_] := k*(R^2 - r^2)

(you can't use capital K because it's reserved for a built-in function)

Then run

Integrate[2 Pi v[r] r, {r, 0, R}]

This may take a little longer to compute than expected because M tries to generate a result to cover all cases (it doesn't automatically know that R is a real number, for instance). You can make it run faster by including the Assumptions option, as with

Integrate[2 Pi v[r] r, {r, 0, R}, Assumptions -> R > 0]

which ensures that R is positive, and moreover a real number.

5 0

2 years ago

How to convert a repeating decimal to a fraction

egoroff_w [7]

Always place it out of 9. For example, 0.333= 3/9, or if simplified, 1/3.

0.5555? this will be 5/9.

for the other way around, make it a repeating decimal, such as 4/9, make that 0.444

If it is 33/99, or even 333/999, the rule should be the same.

8 0

3 years ago

Solve using substitution<br>x-2y =2<br>3x+4y=3

lorasvet [3.4K]

Answer:

7/5, y = -3/10

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Please help asap !!!

Illusion [34]

Answer: 2.)non function 3.)non function 4.) function 5.)non function 6.) non function 7.)function 8.)non function PART B 1.)non function 2.)function 3.) function

Step-by-step explanation: a function is when the domain (x) all each have one answer like (-2.6)(7,4)(8,6) there can be repeating ranges (y) just not domains.

A non function is when one domain (x) has multiple ranges(y) like (7,2)(-9,6)(7,9) the 7 repeats twice giving it two ranges, which causes it to be non functional. hope that helped :))

6 0

2 years ago