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Mrrafil [7]
3 years ago
12

For the right triangle shown, which expression represents the length of CB?

Mathematics
1 answer:
Rudik [331]3 years ago
5 0

Answer:

B) 6 tan(35°)

Step-by-step explanation:

from the right angle tan° = opposite / adjacent

therefore tan (35°) = (x) / 6

by multiplying 6 to both sides

tan (35°)  * 6 = (x) / 6 * 6

therefore (x) = 6 tan (35°)

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find the ordered pairs for the x- and y-intercepts of the equation 5x − 6y = 30 and select the appropriate option below. a. the
Hoochie [10]
5x-6y=30\ \ \ \ |subtract\ 5x\ from\ both\ sides\\\\-6y=-5x+30\ \ \ \ |divide\ both\ sides\ by\ (-6)\\\\y=\frac{5}{6}x-5\\\\x-intercept\ if\ y=0\\subtitute\\\\\frac{5}{6}x-5=0\ \ \ |add\ 5\ to\ both\ sides\\\\\frac{5}{6}x=5\ \ \ \ |\cdot\ \frac{6}{5}\\\\\fbox{x=6}\\\\y-intercept\\subtitute\\\\y=\frac{5}{6}\cdot0-5\\\\\fbox{y=-5} \\\\Answer:\boxed{x-intercept\ (6;\ 0);\ y-intercept\ (0; -5)}\to\fbox{A.}
8 0
3 years ago
It took Everly 55 minutes to run a 10-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many minu
m_a_m_a [10]
55/6.21 = x/1....55 mins to 6.21 miles = x min to 1 mile
cross multiply
6.21x = 55
x = 55/6.21
x = 8.86 minutes
3 0
4 years ago
Read 2 more answers
Which of the following inequality should be graphed with a dashed line? Select all that apply.
AURORKA [14]

Answer:

  B, D

Step-by-step explanation:

Any inequality that does not include the "or equal to" case will be graphed with a dashed line.

<h3>Application</h3>

The "or equal to" case is included when the inequality symbol is one of ≤ or ≥. When symbols > or < are used, the boundary line of the solution space is dashed (or the end point on the number line is an open circle).

The inequalities that will be graphed with a dashed line are ...

  • 2x -4y < 12 . . . . choice B
  • x +7 > -1 . . . . . . .choice D

7 0
2 years ago
Please help!!!! Will mark brainliest!! 18 points.
andreyandreev [35.5K]

Method 1:

You can use the formula of an area of equilateral triangle:

A=\dfrac{a^2\sqrt3}{4}

a - length of side

We have a = 10 yd. Substitute:

A=\dfrac{10^2\sqrt3}{4}=\dfrac{100\sqrt3}{4}=25\sqrt3\ yd^2\\\\\sqrt3\approx1.7\\\\A=25(1.7)=\boxed{42.5\ yd^2}


Method 2:

Use the Pythagorean theorem (look at he picture).

5^2+h^2=10^2

25+h^2=100           <em>subtract 25 from both sides</em>

h^2=75\to h=\sqrt{75}\\\\h=\sqrt{25\cdot3}\\\\h=\sqrt{25}\cdot\sqrt3\\\\h=5\sqrt3\ yd

The formula of an area of a trinagle:

A=\dfrac{1}{2}bh

b - base

h - height

We have b = 10 yd and h = 5√3 yd. Substitute:

A=\dfrac{1}{2}(10)(5\sqrt3)=(5)(5\sqrt3)=25\sqrt3\ yd\\\\\sqrt3\approx1.7\\\\A=25(1.7)=\boxed{42.5\ yd^2}

8 0
3 years ago
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The table shows the temperature of a cup of tea as it is heated in a microwave oven.
JulsSmile [24]
The answer is a bar graph probably.<span />
8 0
4 years ago
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