simplify the expression. 7x^2+3-5(x^2-4) edguneity

Given:

In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.

To find:

The measure of angle P.

Solution:

According to the Law of Cosines:

[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]

Using Law of Cosines in triangle OPQ, we get

[tex]\cos P=\dfrac{o^2+q^2-p^2}{2oq}[/tex]

[tex]\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}[/tex]

[tex]\cos P=\dfrac{490000+384400-705600}{868000}[/tex]

[tex]\cos P=\dfrac{168800}{868000}[/tex]

On further simplification, we get

[tex]\cos P=0.19447[/tex]

[tex]P=\cos^{-1}(0.19447)[/tex]

[tex]P=78.786236[/tex]

[tex]P\approx 79[/tex]

Therefore, the measure of angle P is 79 degrees.

Answer:

79

Step-by-step explanation:

Answer:

x = 3

< D = 26

< E = 54

Step-by-step explanation:

I did the math

Answer:

289819

Step-by-step explanation:

Answer:

Step-by-step explanation:

It takes Lucas 3 hours to cycle from his home to his friend’s village:  

3 hours • (a certain speed) = distance in miles  

If he travels 5mph slower, it will take him 1.5 hours longer:

4.5 hours • (the same speed - 5mph) = the same distance in miles

 4.5 • (x - 5) = 3x

4.5x - 22.5 = 3x

1.5x = 22.5

x = 15mph  

3hours • 15mph = 45 miles

Answer:

8w=48

This answer can be simplified by dividing both sides which contain the variable, which in this case is 8. Dividing 48 by 8 gets 6. This means that w equals 6.

Answer:

w = 6

Step-by-step explanation:

Solve

8w = 48

8w/8 = 48/8

= w = 6

i not sure but i think its  183

Answer:

question 18 asking for a equation for each week 89÷4

question 19 would be 60 + 123 = 183 then 183 ÷ 4 = 45.75

Answer:

12.8

Step-by-step explanation:

Answer:

[tex]\sqrt{34} } =5.83[/tex]

Step-by-step explanation:

[tex]D=\sqrt{5^{2} +3^{2} } =\sqrt{34}[/tex]

Answer:

x can either be 2 or 4

Step-by-step explanation:

Whole numbers less than 5 are = 1, 2, 3, 4

Even whole numbers less than 5 are = 2 and 4

1 and 3 are odd numbers

Therefore, even whole number less than 5 are 2 and 4

x can either be 2 or 4

Answer: y =7/4x

Step-by-step explanation:

The y-intercept is 0. To find the slope, do the change in y over the change in x. At the point on the graph, there is a slope of 14/8 = 7/4

Answer:

658

Step-by-step explanation:

4+654=658.........

Answer:

658

Step-by-step explanation:

First solve 2x2, which is equal to 4.

Then solve 6 x 109 which is equal to 654.

Now add 4 to 654, and you'll get 658

Answer:

4.32

Step-by-step explanation:

Call the unknown number = x

We have: 1000x = 4320

=> x = [tex]\frac{4320}{1000}[/tex] = 4.32

=> The number we need to find is 4.32

Answer:

4.32

Step-by-step explanation:

Answer:

We have the formula for the area of a circle: S = R² x [tex]\pi[/tex]

=> S = 5² x 3.14 = 78.5 f²

Step-by-step explanation:

Answer:

Step-by-step explanation:

distribute:

-5a+30+6a

simplify:

a+30

not sure what u mean by coefficient, the coefficient of a is 1.

Answer: a + 30

Step-by-step explanation:

Using the distributive property, we can figure out the expression unsimplified = -5a+30+6a

By combining like terms, -5a+6a = a

Therefore, this expression = a + 30

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

Answer:

siiiiiiiiii

Step-by-step explanation:

Answer: 378 the second option

Step-by-step explanation:

Answer:

378

Step-by-step explanation:

Multiply 9 and 12 then divide by 2 to get the area of the triangle then multiple by 7 to get the volume

Answer:I think the answer is letter B.

Step-by-step explanation:

Answer:

i am not smart

Step-by-step explanation:

Answer: 120cm

Step-by-step explanation:

Answer:

-6x-4

Step-by-step explanation:

2(-3x)-4

-6x-4

r F(x) is your frame function since it is on the outside, when every you get to an x in the F function you plug in the G function then solve as normal.

Answer:

y ≤ –6x + 21

Step-by-step explanation:

Answer: He started driving at 2:15 P.M.

Step-by-step explanation:

Answer:

3:05 P.M

Step-by-step explanation:

6:05 - 1 hour and 30 min = 5:25

5:25-40 minutes = 4:45

4:45 - 1 hour 40 minutes = 3:05 P.M

Answer:

Step-by-step explanation:

If he's been at the gym for 6 months, and he is charged $20 each month, then he has paid $120 dollars, not counting his membership fee. His total bill is $150.

150-120= $30

His membership fee was $30.

Hope this helps!

Mark Brainliest plz!

x is the number of months and y is the membership fee

[tex]cost = 20x + y[/tex]

[tex]150 = 20(6) + y[/tex]

[tex]150 = 120 + y[/tex]

[tex]150 - 120 = 120 - 120 + y[/tex]

[tex]30 = y[/tex]

The membership fee was $30.

Answer:

∠b = 90°

Step-by-step explanation:

If you wrote it correctly then ∠d will = 90°, right?

We have AB ║(which is parallel to) D => ∠b = ∠d = 90°

P/S: I think that you took the wrong photo, the right question should be above. I'm very please if you can take it again and I will write the right solution down below in the comment section (if u don't mind)

Answer: =2  2/ 3

Step-by-step explanation:

Answer: The acute angle ∠YXZ = 24.3°.

Step-by-step explanation:

If in triangle ABC, C is the angle included between sides a and b then

Area of triangle = [tex]\dfrac12a\cdot b\cdot sin C[/tex]

here, XZ = 21.5cm and XY = 13.5cm are sides that includes acute angle ∠YXZ..

Area of a triangle = 59.7cm²

then, as per given, we have

[tex]59.7=\dfrac12(21.5)(13.5)\ \sin X\\\\\Rightarrow\ 59.7=145.125\ \sin X\\\\\Rightarrow\ \sin X = \dfrac{59.7}{145.125}\\\\\Rightarrow\ \sin X =0.41137\\\\\Rightarrow\ X = \sin ^{-1}(0.41137)\approx24.3^{\circ}[/tex]

Hence, the acute angle ∠YXZ = 24.3°.