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Sauron [17]
3 years ago
14

In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of t

he side adjacent to angle C?
6.4 inches
7.7 inches
8.4 inches
13.1 inches
Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

Answer:

The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.

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Which value is a solution of the equation 2 – 8x = –6?
natulia [17]
Simple....

Which value is a solution of the equation 2 – 8x = –6?(1 point)• 1• –1• 8
You have: 2-8x=-6

plug n chug...

2-8(1)=-6

2-8=-6

-6=-6 (Yes)  (<<---Answer)

2-8(-1)=-6

2+8=-6

10=-6 (No)

2-8(8)=-6

2-64=-6

-62=-6 (No)

3. Which ordered pair is a solution of the equation y = x – 4?(1 point)• (2, 6)• (6, 2)• (–2, 6)• (–6, 2)
Plug n chug.....

you have:y=x-4

(2,6)

6=2-4

6=-2 (No)

(6,2)

2=6-4

2=2 (Yes) (<<<---Answer)

(-2,6)

6=-2-4

6=-6 (No)

(-6,2)

2=-6-4

2=-10 (No)

4. Which ordered pair is a solution of the equation y = 4x?(1 point)• (1, 3)• (–1, –4)• (–4, –1)• (1, –4)
You have: y=4x

(1,3)

3=4(1)

3=4 (No)

(-1,-4)

-4=4(-1)

-4=-4 (Yes) (<<<----Answer)

(-4,-1)

-1=4(-4)

-1=-16 (No)

(1,-4)

-4=4(1)

-4=4 (No)

5. Which ordered pair is a solution of the equation y = –9x + 4?(1 point)• (10, –86)• (–4, –58)• (6, –41)• (–6, 57)

You have: y=-9x+4

(10,-86)

-86=-9(10)+4

-86=-90+4

-86=-86 (Yes) (<<<---Answer)

(-4,-58)

-58=-9(-4)+4

-58=36+4

-58=40 (No)

(6,-41)

-41=-9(6)+4

-41=-54+4

-41=-50 (No)

(-6,57)

57=-9(-6)+4

57=54+4

57=58 (No)

6. Mike and his best friend Dan have the same birthday, but Mike is three years older than Dan. Let the variable x represent Mike’s age and y represent Dan’s age. Which graph represents the relationship between Dan’s age and Mike’s age?(1 point)

There is no graph.

7. Solve the following equation.
–4 = g + 1(1 point)• g = –4• g = 4• g = –5• g = –3
You have: -4=g+1

-4=g+1
-1     -1

-5=g (Answer/C)

8. Solve the following equation. 
x – 3 = –5(1 point)• x = • x = –2• x = –8• x = 15
You have: x-3=-5

x-3=-5
  +3  +3

x=-2 (Answer)
9. Solve the following equation.
2.8 = 2y(1 point)• y = 1.4• y = • y = 2.8• y = 0.6

You have: 2.8=2y

2.8=2y

\frac{2.8}{2} = \frac{2y}{2}

1.4=y (Answer)

10. 
Solve the following equation. 

–8 = 
(1 point)
• z = –
• z = –5
• z = –24
• z = 
11. 
Solve the following equation.

–9 = 
(1 point)
• n = 
• n = 
• n = 
• n = 

NUMBER 10 AND 11..THERE IS NOTHING I CAN WORK WITH,THEREFORE I CAN NOT GIVE AN ANSWER....

12. 
Which equation is an identity?
(1 point)
• 11 – (2v + 3) = –2v – 8
• 5w + 8 – w = 6w – 2(w – 4)
• 7m – 2 = 8m + 4 – m
• 8y + 9 = 8y – 3

You have:

11-(2v+3)=-2v-8

11-2v-3=-2v-8

-2v+8=-2v-8 (No)

5w+8-w=6w-2(w-4)

4w+8=6w-2w+8

4w+8=4w+8 (Yes) (<<<<--Answer)

7m-2=8m+4-m

7m-2=7m+4 (No)

8y+9=8y-3 (No)

13. 
Which equation has no solution?
(1 point)
• 8 – (5v + 3) = 5v – 5
• 3m – 6 = 5m + 7 – m
• 3w + 4 – w = 5w – 2(w – 2)
• 7y + 9 = 7y – 6

You have:

8-(5v+3)=5v-5

8-5v-3=5v-5

-5v+5=5v-5
      +5         +5
-5v+10=5v
+5v      +5v

10=10v

1=v

3m-6=5m+7-m

3m-6=4m+7
-3m    -3m

-6=m+7
-7      -7 

-13=m

3w+4-w=5w-2(w-2)

2w+4=5w-2w+4

2w+4=3w+4
-2w    -2w

4=w+4
-4    -4

0=w

7y+9=7y-6
-7y     -7y

NO SOLUTION  (ANSWER)

Thus, your answer.
5 0
2 years ago
Ismelda watches a soap bubble resting on a driveway. The bubble is in the shape of a hemisphere. When the bubble pops, the soap
Irina18 [472]

Answer:

56.5 cu.in

Step-by-step explanation:

Diameter is 6 inches,then radius(r)=3 inches

volume of hemisphere=2/3πr^3

=2/3×3.14×3×3×3

=2×3.14×3×3

=2×3.14×9

=56.52 cu.in

6 0
2 years ago
Steve reaches into a bag with 5 marbles 3 yellow marbles and 2 green marbles and randomly selects one the he puts the marble bac
Bezzdna [24]

Answer:

Independent

Step-by-step explanation:

The reliance of an event on the outcine of another event gives rise to a dependent event. For any two or more event, whereby the outcome of event A has no effect on the possible outcome of event B, then such scenario is termed as being Independent. In the scenario described above, the outcome oof Sam's pick does not depend on the outcine of Steve's pick. This is because, once Steve makes his selection, the marble is returned into the box before Sam makes his own selection.Therefore, no matter the color of marble picked by Steven, it will have no bearing on the outcome of Sam's pick.

5 0
2 years ago
I need help please!!
Sergio039 [100]

Answer:

16 cm2

Step-by-step explanation:

By equa tion of area of triangle: S = 1/2 * height * base

Triangle B: 32  = 1/2 * 8 * x --> x = 8 (cm)

The base of triangle A is half of the base of triangle B so it is 4 cm.

The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)

5 0
3 years ago
HELP HELP PLEASE IM BEGGING YOUUU
Alexandra [31]

Answer:

Area=615.75

Step-by-step explanation:

A=πr2

Seriously I have helped you twice in 5 minutes.

8 0
3 years ago
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