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4 years ago

While exercising, Julie found that her heart was beating 12 times every 5 seconds. How many times was it be eating per minute?

Mathematics

2 answers:

PIT_PIT [208]4 years ago

8 0

Well how many seconds are in a minute

torisob [31]4 years ago

7 0

144 beats per minute

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In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle

aleksandr82 [10.1K]

Answer:

$B = 108$

$C = 36$

$D = 36$

Step-by-step explanation:

Given

$B =13x - 35$

$C = 5x - 19$

$D=2x+14$

$BC = BD$

Required

Determine the measure of each angle

The angles in a triangle sum up t 180. i.e.

$B + C + D = 180$

Since $BC = BD$ , then $C = D$

$B + C + D = 180$ can then be rewritten as:

$B + C + C = 180$

$B + 2C = 180$

Substitute values for B and C

$13x - 35 + 2(5x - 19) = 180$

Open Bracket

$13x - 35 + 10x - 38 = 180$

Collect Like Terms

$13x + 10x = 180 + 38 + 35$

$23x= 253$

Divide both sides by 23

$x = 11$

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D

$B =13x - 35$

$B = 13 * 11 - 35$

$B = 108$

$C = 5x - 19$

$C = 5 * 11 - 19$

$C = 36$

$D=2x+14$

$D = 2 * 11 + 14$

$D = 36$

5 0

3 years ago

Jenny drove 303 miles using 15 gallons of gas. At this rate, how many miles would she drive using 16 gallons of gas?

Alecsey [184]

Answer:

303/15 is 20.2

20.2*16 is 323.2

so 323.2 miles

8 0

3 years ago

Read 2 more answers

Any help would be appreciated. Thank you!

trapecia [35]

Answer:

Area $=62.5\sqrt{6}$ square units

$AB=5\sqrt{15}$ units

$BC=5\sqrt{10}$ units

Step-by-step explanation:

In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.

So,

$BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units$

a. The area of the triangle ABC is

$A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.$

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

$AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units$

5 0

4 years ago

The ratio of the number of volleyball to the number of basketballs in the P.E room is 4:7 .there are 21 basketballs . How many v

densk [106]

Let volleyball be v and let basketball be b.

v : b = 4 : 7, b = 21

v : 21 = 4 : 7

v/21 = 4/7

7*v = 4*21

v = 4*21/7

v = 4*3

v = 12

Volleyballs are 12

Hope this helps.

8 0

3 years ago

What is the answer to The sum of 2 numbers is 19 and their difference is 3? And thank you brainly for helping. I need the answer

saul85 [17]

Answer:

11 and 8

Step-by-step explanation:

11+8=19

11-8=3

6 0

3 years ago

Read 2 more answers