All categories

2 years ago

For each triangle below find the side that marked with the letter.

Mathematics

1 answer:

Flura [38]2 years ago

6 0

Answer:

All to 1 decimal place

3) a = 11.4

4) b = 11.2

5) c = 4.5

6) e = 6.4

7) f = 30.8

8) g = 67.9

Step-by-step explanation:

Step-by-step explanation:

3) cos(18) = a/12

12xcos(18) = a

a = 11.4

4) tan(25) = b/24

b = 24xtan(25)

b = 11.2

5) cos(51) = c/7.2

c = 7.2xcos(51)

c = 4.5

6) sin(28) = e/13.6

e = 13.6 x sin(28)

e = 6.4

7) cos(47) = 21/f

f = 21/cos(47)

f = 30.8

8) sin(33) = 37/g

g = 37/sin(37)

g = 67.9

All to 1 decimal place

You might be interested in

A tank contains 30 lb of salt dissolved in 300 gallons of water. a brine solution is pumped into the tank at a rate of 3 gal/min

sesenic [268]

$A'(t)=(\text{flow rate in})(\text{inflow concentration})-(\text{flow rate out})(\text{outflow concentration})$
$\implies A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\left(2+\sin\dfrac t4\right)\dfrac{\text{lb}}{\text{gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}$
$A'(t)+\dfrac1{100}A(t)=6+3\sin\dfrac t4$

We're given that $A(0)=30$ . Multiply both sides by the integrating factor $e^{t/100}$ , then

$e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=6e^{t/100}+3e^{t/100}\sin\dfrac t4$
$\left(e^{t/100}A(t)\right)'=6e^{t/100}+3e^{t/100}\sin\dfrac t4$
$e^{t/100}A(t)=600e^{t/100}-\dfrac{150}{313}e^{t/100}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+C$
$A(t)=600-\dfrac{150}{313}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+Ce^{-t/100}$

Given that $A(0)=30$ , we have

$30=600-\dfrac{150}{313}\cdot25+C\implies C=-\dfrac{174660}{313}\approx-558.02$

so the amount of salt in the tank at time $t$ is

$A(t)\approx600-\dfrac{150}{313}\left(25\cos\dfrac t4-\sin\dfrac t4\right)-558.02e^{-t/100}$

3 0

2 years ago

If y is a differentiable function of x, then the slope of the tangent to the curve xy-2y 4y^2=6 at the point where y=1 is

Molodets [167]

x(1^2)-2(1)+4(1^3)=6
x - 2 + 4 = 6
x + 2 = 6
x = 4

7 0

2 years ago

Find the arc length of a 80° slice of a large 15 in. radius pizza.

Sedaia [141]

Answer:

20.93 in

Step-by-step explanation:

Arc length formula:

s = 2 π r (θ/360°)

Substitute values:

s = 2*3.14*15(80/360) = 20.93 in

5 0

2 years ago

Identify the slope of the line for the equation y = −

Lunna [17]

Answer:pretty sure it’s A. but the way you typed the things out I can’t tell

Step-by-step explanation:

7 0

2 years ago

Olivia buys 6 packs of muffins. she uses a Coupon and saves $3 off the total.

lyudmila [28]

Answer:

Step-by-step explanation:

the six(6) muffins plus the $3 she saved

6 0

2 years ago