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jonny [76]
3 years ago
11

If y varies directly as x and y-21 when x is 7, find x when y = -5.

Mathematics
2 answers:
alukav5142 [94]3 years ago
8 0

Answer:

X=-5/3

Step-by-step explanation:

<h2>Y=KX where k is constant</h2><h2>y=kx</h2><h2>21=7k divide both sides by 7</h2><h2>to get 3</h2><h2>then equate</h2><h2>to get answer</h2>
klasskru [66]3 years ago
6 0

Step-by-step explanation:

Since, y varies directly as x:

\therefore \: y = kx..(1) \\ (k = constant \: of \: proportionality) \\ at \: y = 21 \: and \: x = 7 \\ 21 = k \times 7 \\ k =  \frac{21}{7}  = 3 \\ plugging \: k = 3 \: in \: equation \: (1) \\ y = 3x..(2) \\ plugging \:  \: y =  - 5  \: in \: (2)\\  - 5 = 3x \\ x =  \frac{ - 5}{3}  \\   \:  \:  \:  \:  \:  \: \huge \red{ \boxed{x =  -  \frac{5}{3} }}

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Can someone help me with this problem
user100 [1]

Answer:

About 110.6

Step-by-step explanation:

The sine of an angle is the length of the opposite side divided by the length of the hypotenuse.

\sin 19= \dfrac{36}{x} \\\\x=\dfrac{36}{\sin 19}\approx 110.6

Hope this helps!

5 0
3 years ago
Can SOMEONE PLEASE HELP ME WILL GIVE 30 POINTS AND BRAINLIEST!!!!!
earnstyle [38]

Answer:

Hope i helped :)

Step-by-step explanation:

8) T-V =24

24 -6 =18

2x-18 =18

2x=0

x= 0/2

x=0

9)

*LMK

*L-K=x+3

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10 and 11)

Both lines are horizontal

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6 0
3 years ago
Read 2 more answers
What is the annual premium for $75,000, 10 year life insurance policy for a 40 year old male (Put answer to two decimal places)?
Anvisha [2.4K]

Answer:

About $437.25

Step-by-step explanation:

Using the table which gives the annual premium per $1000; the premium paid annually by the 40 year old male is $437.23

The total annual premium = $75000

Using the data in the table :

Annual premium per $1000 of coverage for a 40-year old male with a 10 - years life insurance policy = $5.83

The annual premium for $75,000 ;

Premium per $1000 × ($75000/$1000)

Annual premium = $5.83 × ($75,000/1000)

Annual premium = $5.83 × 75 = $437.25

Hence, the annual premium for the lifetime insurance based on the stated conditions is $437.25

5 0
2 years ago
Solve the right triangle ABC with right angle C, if B=30 degrees, and C = 10
iren2701 [21]

Answer:

The answer to your question is letter D

Step-by-step explanation:

We know that the sum of the internal angles in a triangle equals 180°.

So, B = 30°, C = 90° and A = ?

                      A + B + C = 180°

Substitution

                      A + 30 + 90 = 180

Solve for A

                     A = 180 - 30 - 90

                     A = 180 - 120

                    A = 60°

To find "b". use the trigonometric function sine

sin B = \frac{opposite side}{hypotenuse}

sin B x hypotenuse = Opposite side

Opposite side = sin 30 x 10

Opposite side = 0.5 x 10

Opposite side = b = 5.0                          

To find "a" use the trigonometric function cosine

Cos A = adjacent side / hypotenuse

Adjacent side = a = cos A x hypotenuse

Adjacent side = a = cos 60 x 10

                          a = 0.866 x 10

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8 0
3 years ago
The scale of a map is 1:250000. On the map a large forest has an area of 6cm². Calculate the actual area of the forest. Give you
Bad White [126]

The distance on map exists 32 cm and actual area exists 37.5 km².

<h3>How to estimate the actual area of the forest in square kilometers?</h3>

Given: Scale of the map exists at 1:250000.

(a) Distance between two cities = 80 km

= 80000 m

= 8000000 cm

Distance on map = 8000000 * 1/ 250000

= 32 cm

(b) Area of map = 6 cm²

Actual area = 6(250000)^2 cm²

= 6 * 625 * 10^8 cm²

= 3750 * 10^8/ 10^{10}

= 37.5 km²

Therefore, the distance on map exists 32 cm and actual area exists 37.5 km².

To learn more about actual area refer to:

brainly.com/question/27222024

#SPJ9

8 0
1 year ago
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