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anyanavicka [17]
3 years ago
9

Solve for x. Enter the solutions from least to greatest. (2x + 4) (3x − 2) = 0

Mathematics
1 answer:
laila [671]3 years ago
7 0

Answer:

-2 and .66666

Step-by-step explanation:

2(3x^2+4x-4)=0

2(3x^2+6x-2x-4)=0

2(x+2)(3x-2)=0

x=-2, .6666

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4. Determine all unknown sides and angles to 1 decimal place.
Ksju [112]

Answer:

The unknown sides are 60.81cm and 51.57cm while the unknown angle is 58degrees

Step-by-step explanation:

4a) Given the following

Opposite side = 38cm (side facing the given angle)

Required

Adjacent and hypotenuse side

According to SOH CAH TOA

tan \theta = \frac{opp}{hyp}\\tan 32=\frac{38}{hyp}\\hyp=\frac{38}{tan 32}\\hyp=\frac{38}{0.6249}\\hyp=  60.81cm

Next is to get the adjacent

Cos 32=\frac{adj}{60.81}\\adj=60.81cos32\\adj=60.81(0.8480)\\adj= 51.57cm

Next is to get the missing

Since sum of angle in the triangle is 180degrees

32 + 90 + x = 180

122 + x = 180

x = 180 - 122

x = 58degrees

7 0
3 years ago
According to a study conducted by the Gallup Organization, the the proportion of Americans who are afraid to fly is 0.10. A rand
notsponge [240]

Answer: 0.1457

Step-by-step explanation:

Let p be the population proportion.

Given: The proportion of Americans who are afraid to fly is 0.10.

i.e. p= 0.10

Sample size : n= 1100

Sample proportion of Americans who are afraid to fly =\hat{p}=\dfrac{121}{1100}=0.11

We assume that the population is normally distributed

Now, the probability that the sample proportion is more than 0.11:

P(\hat{p}>0.11)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.11-0.10}{\sqrt{\dfrac{0.10(0.90)}{1100}}})\\\\=P(z>\dfrac{0.01}{0.0090453})\ \ \ [\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} ]\\\\=P(z>1.1055)\\\\=1-P(z\leq1.055)\\\\=1-0.8543=0.1457\ \ \ [\text{using z-table}]

Hence, the probability that the sample proportion is more than 0.11 = 0.1457

3 0
3 years ago
Please help me with this!!
Aleonysh [2.5K]
The perimeter is 1/2 the perimeter of ABCD because the scale factor is 1/2. It would be 10 units.
7 0
3 years ago
3 more than the product of 3 and y
Fudgin [204]

Answer:

3y+3

Step-by-step explanation:

pls give brainly

4 0
2 years ago
Write the phrase as an expression<br> the quotient of 22 and a number a
RideAnS [48]
I believe the Answer is a/22 ( that’s a fraction )
5 0
3 years ago
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