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Molodets [167]
3 years ago
15

Help please I’ll mark brainiest

Mathematics
2 answers:
Arturiano [62]3 years ago
8 0
H= 2.1
C=6.9

Double check my answers using the picture below or by the long way (Pythagorean’s)

I suggest you memorize the drawings by heart because the 30-60-90 and the 45-45-90 right triangles are considered special in geometry and they will keep testing you on them until you graduate from university !

Hope it helps.

jenyasd209 [6]3 years ago
3 0

Answer:

h = 2.12 , c = 6.93

Step-by-step explanation:

To calculate h:

Apply the cosine identity

cos\ x =\frac{base}{hypotenuse}\\\\cos\ 45=\frac{h}{3}\\\\0.707=\frac{h}{3}\\\\h=3(0.707)\\h=2.12\\

To calculate c:

Apply the tangent identity

tan\ x=\frac{perpendicular}{base}\\\\tan\ 60=\frac{c}{4}\\\\1.732=\frac{c}{4}\\\\c=1.732(4)\\c=6.93\\

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In a classroom,there are 12 girls and 8 boys.What fraction of the students in class are girls?What percent of the class are girl
tekilochka [14]

Answer:

Step-by-step explanation:

Add the total number of students:

Boys: 8, + Girls: 12 = 20 students

\frac{12}{20} = \frac{6}{10} of the students are girls

6/10 also equates to 60%, which is the percent of girls in the class.

4 0
3 years ago
Which two numbers add up to 10 and multiply to -24? can you help me with this?
vesna_86 [32]

Answer:

12, and -2

Step-by-step explanation:

12 + (-2) = 10

12 * (-2) = -24

6 0
3 years ago
A____ function is a function that can be expressed as the quotient of two polynomial functions
r-ruslan [8.4K]

Answer:

rational function

Step-by-step explanation:

That would be a "rational function;" it's the "ratio" of two polynomial functions, with the understanding that the denominator may not be zero.

7 0
3 years ago
Read 2 more answers
What is the area of the logo?​
Ludmilka [50]

Answer:

the \: area \: of \: the \: logo \: is \:  {91cm}^{2}

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

a =  {a}^{2}

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

asquare =  {7}^{2}  \\ asquare =  {49cm}^{2}

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

a =  \frac{b.h}{2}  \\  a =  \frac{7.4}{2}  \\ a =  \frac{28}{2}  \\ a =  {14cm}^{2}

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

atriangles = 3a \\ atriangles =  {42cm}^{2}

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo =  {91cm}^{2}

4 0
3 years ago
Read 2 more answers
C2d3 has a solubility product constant of 9.14×10−9. what is the molar solubility of c2d3?
UkoKoshka [18]
The correct answer for the question that is being presented above is this one:

We need to express the ksp expression of C2D3
<span>C2D3
= (2x)2(3x)3
= 108x5 </span>

<span>Then set that equation equal to your solubility constant </span>

<span>9.14x10-9 = 108x5 </span>
<span>x = 9.67x10-3 
</span>
<span>So the molar solubility is 9.67x10-3</span>
4 0
3 years ago
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