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2 years ago

Select the true statement about triangle ABC.

Mathematics

1 answer:

almond37 [142]2 years ago

8 0

Answer:

Step-by-step explanation:

cosA = $\frac{adjacent}{hypotenuse}$ = $\frac{AB}{AC}$ = $\frac{12}{13}$

cosC = $\frac{BC}{AC}$ = $\frac{5}{13}$

sinC = $\frac{opposite}{hypotenuse}$ = $\frac{AB}{AC}$ = $\frac{12}{13}$

tanC = $\frac{opposite}{adjacent}$ = $\frac{AB}{BC}$ = $\frac{12}{5}$

Then

cosA = sinC → B

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Juan and Nina are in the Junior High Orchestra. As part of the orchestra they each have to learn two instruments. Juan is learni

Whitepunk [10]

Answer:

Nina practiced the viola for 11.25 hours last week.

Step-by-step explanation:

Juan practiced the violin for 9 hours last week. For each 3 hours that he practices the violin, he practices 2.5 hours of cello. So

3h violin - 2.5h cello

9h violin - xh cello

$3x = 9*2.5$

$x = 7.5$

He practiced 7.5 hours of cello, the same as Nina.

For every 3 hours Nina spends practicing the viola she practices the cello for 2 hours. So:

3h viola - 2h cello

xh viola - 7.5h cello

$2x = 3*7.5$

$x = 7.5*1.5$

$x = 11.25$

Nina practiced the viola for 11.25 hours last week.

3 0

3 years ago

Find the mean of 3,2,2,5,1,3,2,0,5<br>

LekaFEV [45]

Answer:

2.56

Step-by-step explanation:

(3+2+2+5+1+3+2+0+5)/9=2.55555555556...

8 0

2 years ago

Can anyone help with expanding this?

Readme [11.4K]

Answer:

is this collage mathz

Step-by-step explanation:

7 0

3 years ago

Find the volume of the solid under the plane 5x + 9y − z = 0 and above the region bounded by y = x and y = x4.

svp [43]

<span>For the plane, we have z = 5x + 9y

For the region, we first find its boundary curves' points of intersection.
x = x^4 ==> x = 0, 1.

Since x > x^4 for y in [0, 1],

The volume of the solid equals

$\int\limits^1_0 { \int\limits_{x^4}^x {(5x+9y)} \, dy } \, dx = \int\limits^1_0 {\left[5xy+ \frac{9}{2} y^2\right]_{x^4}^{x}} \, dx \\ \\ =\int\limits^1_0 {\left[\left(5x(x)+ \frac{9}{2} (x)^2\right)-\left(5x(x^4)+ \frac{9}{2} (x^4)^2\right)\right]} \, dx \\ \\ =\int\limits^1_0 {\left(5x^2+ \frac{9}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx =\int\limits^1_0 {\left( \frac{19}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx \\ \\ =\left[ \frac{19}{6} x^3- \frac{5}{6} x^6- \frac{1}{2} x^9\right]^1_0$

$=\frac{19}{6} - \frac{5}{6} - \frac{1}{2} =\bold{ \frac{11}{6} \ cubic \ units}$ </span>

8 0

3 years ago

William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each b

Snezhnost [94]

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this: