Ask question

Ask question

All categories

3 years ago

15

A friend has a 78% average before the final exam for a course. That score includes everything but the final, which counts for 20

% of the course grade.
What is the best course grade your friend can earn?

1 answer:

Karolina [17]3 years ago

4 0

Answer:

98%

Step-by-step explanation:

im not real sure but i think thats it if im wrong srry

You might be interested in

I can't figure this question out I've tried multiple times but only 2/3. Help, please.

Scrat [10]

Answer:

yes it is 2/3

Step-by-step explanation:

4 0

2 years ago

Three security cameras were mounted at the corners of a triangles parking lot. Camera 1 was 110 ft from camera 2, which was 137

Nata [24]

Answer:

<em>Camera 2nd has to cover the maximum angle, i.e. </em> $78.70^\circ$ .

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle $\triangle ABC$ with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles $\angle A, \angle B, \angle C$

As per Law of cosine:

$cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}$

Putting the values of a,b and c to find out angles $\angle A, \angle B, \angle C$ .

$cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ$

$cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ$

$cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ$

<em>Camera 2nd has to cover the maximum angle</em>, i.e. $78.70^\circ$ .

6 0

3 years ago

Which number is equivalent to 2^−5⋅ 3 ⋅ 2^2 ⋅ 3^3?<br><br> A. 648<br> B. 216<br> C. 81/8<br> D. 27/8

sesenic [268]

$2^{-5} \cdot 3 \cdot 2^2 \cdot 3^3\\\\=2^{-5 +2} \cdot 3^{1+3}\\\\=2^{-3} \cdot 3^4\\\\=\dfrac{3^4}{2^3}\\\\=\dfrac{81}{8}\\\\\\\text{So, the answer is C.}$

3 0

1 year ago

Write y=2(x + 6)(x + 3) in standard form

Volgvan

Answer:

y = 2x² + 18x + 36

Step-by-step explanation:

Given

y = 2(x + 6)(x + 3) ← expand the factors using FOIL

y = 2(x² + 9x + 18) ← distribute parenthesis by 2

= 2x² + 18x + 36 ← in standard form

6 0

3 years ago

What is the place value of 6 in the number 6,029?

Feliz [49]

Answer: 6 on the extreme left has the place value 6000; the next 6 has the value 600; the next, 60; and the last, 6. The numeral for every whole number stands for a sum. 364 = 3 Hundreds + 6 Tens + 4 Ones. Hope this helps!

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers