1) Evaluate 3+ (a + 4)(8 – b) when a
5 and b = 6

Answer:

C. [tex]m=20[/tex], [tex]n=10[/tex]

Step-by-step explanation:

Since the triangle is a special 30°-60°-90° triangle, the hypotenuse is twice the size of the shortest leg. The long leg is [tex]\sqrt{3}[/tex] of the short leg.

Answer:

It's the first one...!!!

Answer: x = 20

Step-by-step explanation:

The angle is 90 degrees so we can make an equation

with it.

3x + 10 + x = 90

Combine like terms

4x + 10 = 90

subtract 10 from both sides to cancel it out

4x = 80

Now divide by 4 to leave x by itself

x = 20

Now you can check if it's correct by plugging in x to the equation given

3(20) + 10

60 + 10

70

20 + 70 = 90 degrees

Answer:

D: 20 degrees

Step-by-step explanation:

First, we add 3x+10 and x together because they are within a right angle, which is 90 degrees. This gives the equation 4x+10=90. We solve from here.

We subtract 10 from both sides to isolate the x-variable. 90 minus 10 equals 80. This gives us the equation 4x=80. To further isolate the x-variable, we divide both sides by 4. 80 divided by 4 equals 20.

This leaves us with x=20.

Hope this helped!

Answer:

Step-by-step explanation:

0.226 gram.

In my knowledge

2 × 8 + 5 = 21

Hope it helps ;)

Answer:

17/50.

Step-by-step explanation:

In order to write 34% as a fraction or mixed number in simplest form, the following calculation has to be done:

34% = 0.34 = 34/100

34/100 = 17/50

Thus, given that 17 is a prime number that cannot be divided by other number than 1 or 17, the simplest form to write 34% as a fraction is 17/50.

Answer:

Y=x(600-x)

Step-by-step explanation:

How many trees?

500

Answer:

Step-by-step explanation:Given :  right triangle ABC  ,  AE^2 + EB^2 =9 and BE^2 + EC^2 = 16

To find : AC

Solution:

BE ⊥  AC

∠AEB = 90°

=> ΔAEB is right angled

=> AB² = AE² + EB²

=> AB² =  9

∠BEC = 90°

=> ΔBEC is right angled

=> BC² = BE² + EC²

=> BC² =  16

∠ABC = 90°

=> AC² = AB² + BC²

=> AC² = 9 + 16

=> AC² = 25

=> AC = 5

AC = 5

The length of AC is 5 units.

Any three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.

As per the given data:

We are given the diagram of ΔABC which is right-angled.

BE is perpendicular to AC.

AE² + EB² = 9 ...(i)

BE² + EC² = 16 ..(ii)

By using the Pythagoras theorem in ΔABE:

AE² + EB² = AB²

From comparing with eq (i)

AB² = 9

AB = √9 = 3 units

By using the Pythagoras theorem in ΔCBE:

BE² + EC² = BC²

From comparing with eq (ii)

BC² = 16

BC = √16 = 4 units

By using the Pythagoras theorem in ΔABC:

AB² + BC² = AC²

AC² = 3² + 4²

AC² = 9 + 16 = 25

AC = 5 units.

The length of AC is 5 units.

Hence, The length of AC is 5 units.

To learn more on Triangle, click:

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Answer:

A little more than 3 times

Step-by-step explanation:

Answer:

The answer is 3 because its a constant value and the rest are variables

Answer: -270

Step-by-step explanation:

First, simplify the exponent

[tex]-6*(25+20)[/tex]

Then, distribute

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

Then, subtract(add a negative)

[tex]-270[/tex]

Hope it helps <3 :)

Answer:

y=5/6x+b

Step-by-step explanation:

use formula (y2-y1)/(x2-x1) to look for the slope:

(8-(-2))/(6-(-6))

=10/12

=5/6 (simplified)

then, use the formula y=mx+b to get the equation by substituting m and x, y to either (-6, -2) or (6, 8):

8=5/6(6)+b

8=5+b

3=b (subtract 5 on both sides)

equation:

y=5/6x+3

Answer:

90.

Step-by-step explanation:

Here 5 is one of the 4 prime factors, so dividing the lower (80) and upper limit (100) by 5 we have new lower limit 16 and new upper limit 20.

So the product of other 3 factors should be greater than 16 and less than 20. And we can have it from 18 only. Hence the number is 90.

The numbers between 80 and 100 having factor 5 are

80,  85, 90, 95, 100

16 = [tex]2^{4}[/tex]

17 = 17

18 = 2× 3 × 3

19 = 19

20 = [tex]2^{2}[/tex] × 5

90 = 2 × [tex]3^{2}[/tex] × 5

Answer:

m=1/2

Step-by-step explanation:

your answer is right

Answer:

angle 1 is 140 degrees and angle 2 is 70 degrees

Step-by-step explanation:

it is two parallel lines with an intersecting line. This means that the two angles will be the same. Your welcome btw ur mom is hot

Answer:

Angle 1 is 140 degrees and Angle 2 is 70 degrees.

Answer:

[tex]\huge\boxed{1.\ -120,\ -240}\\\boxed{2.\ \dfrac{10}{3},\ \dfrac{10}{9}}\\\boxed{3.\ \dfrac{27}{32},\ \dfrac{81}{64}}[/tex]

Step-by-step explanation:

[tex]\text{if}\\a_1,\ a_2,\ a_3,\ ...\text{is a geometric sequence}\\\text{then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=const.=r\\\\a_n=a_{n-1}r[/tex]

[tex]1.\\-15,\ -30,\ -6\\\\\dfrac{-30}{-15}=-2;\ \dfrac{-6}{-30}=\dfrac{1}{5}[/tex]

it,s not a geometric sequence...

I think it should be:

[tex]-15,\ -30,\ -60,\ ...\\\\\dfrac{-30}{-15}=2;\ \dfrac{-60}{-30}=2\\\\next\\\\-60\cdot2=-120\\-120\cdot2=-240[/tex]

[tex]2.\\90,\ 30,\ 10,\ ...\\\\\dfrac{30}{90}=\dfrac{1}{3};\ \dfrac{10}{30}=\dfrac{1}{3}\\\\next\\\\10\cdot\dfrac{1}{3}=\dfrac{10}{3}\\\\\dfrac{10}{3}\cdot\dfrac{1}{3}=\dfrac{10}{9}[/tex]

[tex]3.\\\dfrac{1}{4},\ \dfrac{3}{8},\ \dfrac{9}{16},\ ...\\\\\dfrac{\frac{3}{8}}{\frac{1}{4}}=\dfrac{3}{8}\cdot\dfrac{4}{1}=\dfrac{3}{2};\ \dfrac{\frac{9}{16}}{\frac{3}{8}}=\dfrac{9}{16}\cdot\dfrac{8}{3}=\dfrac{3}{2}\\\\next\\\\\dfrac{9}{16}\cdot\dfrac{3}{2}=\dfrac{27}{32}\\\\\dfrac{27}{32}\cdot\dfrac{3}{2}=\dfrac{81}{64}[/tex]

Answer:

54.3

Step-by-step explanation:

485 / 9 = 54.3333(ect)

You just round and it would be 54.3

Answer:

Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY

Step-by-step explanation:

Answer:

No, you have to divide

Step-by-step explanation:

Speed = distance/time

distance/speed = time

Answer:

$6,937.50

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 25000(.0925)(3)

Answer:

hi

Step-by-step explanation:

i translated your question…

and

[tex]x - 4 = 5 \\ x = 5 + 4 \\ x = 9[/tex]

[tex]3 - x = - 4 \\ x = - 4 - 3 \\ x = - 7[/tex]

[tex]5 - x = 7 \\ x = 7 - 5 \\ x = 2[/tex]

hope it helps

Have a nice day bye

Answer:

x = -3 is the answer. Writing this cause brainly requires a 20 character answer.

Answer:

i did the first

Step-by-step explanation:

1st way

Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5

y = -2/3*X^2-16/3*X-17/3

X = -4 ±√( 15/2) = -6.7386, or -1.2614

Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)

two real roots: X=-1.2613872124776866 and -6.738612787477313

Answer:

Step-by-step explanation:

Vertex form is:

Vertex of the function is point (h, k)

b) Congruent to y = 2/3x² and opens down means:

Maximum value at (-4, 5) means:

The function is:

c) Congruent to y = 1/2x² and has minimum value y = -5 at x = -8:

The function is:

d) Vertex (-7, -2) and passes through the point (-3, 4)

Substitute coordinates and find a:

The function is:

Answer:

Step-by-step explanation:

Perimeter:

Correct options are A and C

Answer:

Step-by-step explanation:

let width be p

according to the first condition

therefore

the length is

3×p+5

3p+5

Parameter of a rectangle

=2(l+w)

=2(3p+5+p)

=2(4p+5) {combine like terms}

=8p+10{distribute 2}

Answer:

y+1=2(x-1)

Step-by-step explanation:

use point slope form

Answer:

x=24

Step-by-step explanation:

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