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SVETLANKA909090 [29]
3 years ago
9

Who has more tadpoles after 9 minutes

Mathematics
1 answer:
Yuki888 [10]3 years ago
8 0
Step by step explanation
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Find x. A. 11√6/2 B. 22 C. 33 D. 11√3/2
Phoenix [80]

Answer:

B

Step-by-step explanation:

using the tangent ratio on the triangle on the right and the exact value

tan60° = \sqrt{3} , then letting the altitude be h

tan60° = \frac{opposite}{adjacent} = \frac{11\sqrt{6} }{h}  = \sqrt{3} ( multiply both sides by h )

11\sqrt{6} = h × \sqrt{3} ( divide both sides by \sqrt{3} )

11\sqrt{2} = h

using the sine ratio in the triangle on the left and the exact value

sin45° = \frac{\sqrt{2} }{2} , then

sin45° = \frac{opposite}{hypotenuse} = \frac{h}{x} = \frac{11\sqrt{2} }{x} = \frac{\sqrt{2} }{2} ( cross- multiply )

\sqrt{2} × x = 22\sqrt{2} ( divide both sides by \sqrt{2} )

x = 22

6 0
1 year ago
Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional developement for th
kykrilka [37]

Answer:

A. $46,650

Step-by-step explanation:

Taking the first number of $50,150, we have to subtract his expenses. After subtracting Leroy's expenses, we get $46,650.

  50150

<u>-    3500</u>

  46650

7 0
3 years ago
Read 2 more answers
A triangular pyramid has a base with an area of 43 cm squared and lateral faces with bases of 10 cm and heights of 8.6 cm. What
Jet001 [13]

Answer:

The total surface area of triangular pyramid is 172 cm squared

Step-by-step explanation:

Triangular pyramid:

  • Number of faces 4.
  • Number of vertices of a triangular pyramid is 6.
  • The volume  is \frac13 AH. A= area of the pyramid's base and H= height of the pyramid.
  • The surface area of triangular pyramid B+L. B= area of base, L= area of lateral surface.

Given that, the area of the base is 43 cm squared. Lateral faces with bases of 10 cm and heights 8.6 cm.

The 3 sides of the triangular pyramid is triangle in shape.

The area of triangle is \frac12 \times base \times height.

The lateral surface area of the triangular pyramid is

=3(\frac12 \times base \times height)

=3(\frac12\times 10\times8.6) cm squared

=129 cm squared

The total surface area of triangular pyramid is

=Area of the base + lateral surface area

=(43+129) cm squared

=172  cm squared

8 0
3 years ago
PLS HELP!!!!!!!!<br><br><br> simplify: cos(θ) csc(θ)/sin(θ) cot(θ)
miskamm [114]

Answer:

cosecθ

Step-by-step explanation:

Please see attached picture for full solution.

cosecθ= 1/sinθ

cotθ= 1/tanθ= cosθ/sinθ

7 0
3 years ago
Read 2 more answers
What is two filths plus one eighth
pantera1 [17]

Answer: 21/40

Step-by-step explanation:

25+18=?The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/5, 1/8) = 40

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(25×88)+(18×55)=?

Complete the multiplication and the equation becomes

1640+540=?

The two fractions now have like denominators so you can add the numerators.

Then:

16+540=2140

This fraction cannot be reduced.

Therefore:

25+18=2140

4 0
3 years ago
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