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2 years ago

Simplify the expression by removing symbols of grouping and combining like terms.

Mathematics

1 answer:

Naily [24]2 years ago

5 0

Answer:

19s+5

Step-by-step explanation:

18s-1+s+6

combine by adding 1s to 18s

19s-1+6

subtract 1 from 6

19s+5

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What number is 5% of 90?

BARSIC [14]

The answer would be 4.5 because 5% of 90= 4.5.

Hope this helped! :)

4 0

2 years ago

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<333

Gnom [1K]

(210+200+190+180+300+150+90+x)/8=200
(1320+x)/8=200 /*8
1320 +x=1600
X=1600-1320
X= 280

6 0

3 years ago

The Colonel spots a campfire at a bearing N 59∘59∘ E from his current position. Sarge, who is positioned 242 feet due east of th

Rashid [163]

Answer:

i. Colonel is about 201 feet away from the fire.

ii. Sarge is about 125 feet away from the fire.

Step-by-step explanation:

Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.

The total angle at the campfire from both the Colonel and Sarge = $59^{0}$ + $34^{0}$

= $93^{0}$

Thus,

<CAB = $90^{0}$ - $59^{0}$ = $31^{0}$

<CBA = $90^{0}$ - $34^{0}$ = $56^{0}$

Sine rule states;

$\frac{a}{Sin A}$ = $\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;

$\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

$\frac{b}{Sin 56^{0} }$ = $\frac{242}{Sin 93^{0} }$

$\frac{b}{0.8290}$ = $\frac{242}{0.9986}$

cross multiply,

b = $\frac{0.8290*242}{0.9986}$

= 200.8993

Colonel is about 201 feet away from the fire.

ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;

$\frac{a}{Sin A}$ = $\frac{c}{Sin C}$

$\frac{a}{Sin 31^{0} }$ = $\frac{242}{Sin 93^{0} }$

$\frac{a}{0.5150}$ = $\frac{242}{0.9986}$

cross multiply,

a = $\frac{0.5150*242}{0.9986}$

= 124.8073

Sarge is about 125 feet away from the fire.

8 0

3 years ago

Adam, Brian, and Casey are all brothers. Brian is three years less than twice Casey’s age. Adam is 9 years older than Casey. The

blagie [28]

Let Casey's age be x

Brian's age will be -3 from 2 times x ( Casey's age ) so it will be 2x-3

Adam's age will be Casey's age (x) + 9 which is x+9

NOW the sum of all these ages is 46 so..

Casey's age + Brian's age + Adam's age = 46

x + 2x-3 + x+9 = 46

2x + x + x + 9 -3 = 46

4x + (9 - 3) = 46

4x - 6 = 46

now transfer the numbers on the left one by one to the other side( right )

4x = 46 - 6 ( always remember the sign of the number becomes the opposite when we transfer them to other side)

4x = 40

x = 40 / 4

x = 10

so x = Casey's age = 10

2x - 3 = Brian's age = 2 * 10 - 3

= 20 - 3 = 17

x + 9 = Adam's age = 10 + 9 = 19

8 0

3 years ago

What is the measure of /GMH<br> A 40°<br> B 45°<br> C 50°<br> D 90°

Readme [11.4K]

Answer: A

Step-by-step explanation: /GMK is a right angle and /HMK is 50 degrees so 90-50=40

8 0

3 years ago

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