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lozanna [386]
3 years ago
15

Solve for x: 4^x + 6^x = 9^x

Mathematics
2 answers:
Roman55 [17]3 years ago
7 0
X= 1.1868143 that’s the answer for this problem if u need extra help I will be here for u good luck
levacccp [35]3 years ago
4 0

Answer:

x ≈ 1.1868143

Step-by-step explanation:

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When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is Sandy, to th
Makovka662 [10]

Answer:

The height of Sandy is 68.74 inches.

Step-by-step explanation:

It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.

Let the height of Sandy be x.

Sandy casts a shadow that is 9 feet 2 inches long.

We know that 1 feet = 12 inches

Using this conversion, we get

Shadow = 9 feet 2 inches = 9(12)+2 = 110 inches

In a right angled triangle,

\tan\theta =\frac{perpendicular}{base}

In triangle ABC,

\tan(\angle C)=\frac{AB}{BC}

\tan(32^{\circ})=\frac{x}{110}

Multiply both sides by 110.

110\tan(32^{\circ})=x

68.73562871=x

x\approx 68.74

Therefore the height of Sandy is 68.74 inches.

8 0
3 years ago
Help !!!!!!!!!! i need somebody to answer this
Mademuasel [1]

Answer:

B

Step-by-step explanation:

because it says between 4 and 8 and doesn't have a negative so its positive

7 0
3 years ago
Read 2 more answers
Evaluate the expression. If necessary, round to the nearest hundredth. ln e Undefined 1 0
Luba_88 [7]
What is the expression
7 0
3 years ago
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What is the interquartile for this set of data? 11,19,35,42,60,72,80,85,88
exis [7]

Answer:

55.5

Step-by-step explanation:

find the median - in this case it's 60

then group the upper and lower halves of the data:

(11, 19, 35, 42) 60 (72, 80, 85, 88)

now we find the medians of those sets:

35 + 19/2 = 54/2 =27

80 + 85/2 = 165/2 = 82.5

then subtract those two medians to find the interquartile:

82.5 - 27 = 55.5

4 0
3 years ago
a family has five children. the probability of having a girl is 1/2. whats probability of having at leasr 4 girls g'
Dima020 [189]

Answer:

Probability of having at least 4 Girls

= 0.6875

Step-by-step explanation:

Probability of having at least 4 Girls is 1-probability of having exactly 3 girls

Total number of children= 5 = N

Probability of having a girl p = 0.5

Probability of not having a girl q= 0.5

X= 3

Probability of at least 4 girls is given by

Probability= NCX(p)^x(q)^(N-x)

Probability = 5C3(0.5)^3(0.5)^(5-3)

Probability = 5C3(0.5)^3(0.5)^2

Probability= 5!/3!2!(0.5)^3(0.5)^2

Probability= 10(0.125)(0.25)

Probability= 0.3125

Probability of having at least 4 Girls

= 1- 0.3125

= 0.6875

7 0
3 years ago
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