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Nikitich [7]
3 years ago
15

a triangle has coordinates a(-1,-2) b(-4,-2) and c(-4,-5) what are the coordinates of a' the image of point a under a dilation w

ith a scale factor of 3?
Mathematics
1 answer:
quester [9]3 years ago
8 0

9514 1404 393

Answer:

  (-3, -6)

Step-by-step explanation:

The scale factor multiplies each coordinate.

  A' = 3A = 3(-1, -2) = (-3, -6)

The image of A is ...

  A'(-3, -6)

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Consider testing Upper H 0 : mu equals 20H0: μ=20 against Upper H Subscript a Baseline : mu less than 20Ha: μ<20 where muμ is
kolezko [41]

Answer:

Test: \mu < 20 with normal distⁿ

Hypothesis test:

H0:  \mu \ge 20                         (Null Hypothesis, H₀ : \mu = 20 is also correct)

H1: \mu < 20                             (Alternative Hypothesis, also called H₁)

This is lower tailed test.

Since sample is large, sample standard deviation can be taken as an  approximation of population standard deviation.

x = 19.3

\sigma = 11.1

n = 444

significance level, \alpha = 0.05 (If no value is given, we take level of 0.05)

Test statistic z* = \frac{x-\mu}{\sigma/\sqrt{n}}

         

                         = \frac{19.3-20}{11.1/\sqrt{444}}

                       = - 1.33

The attached files contains additional information

6 0
3 years ago
Given the equation 8x-6+3x=60. Sasha claims the next step will result 5x=66. Dante claims it will be 11x=66 Who is right and why
IrinaVladis [17]
Sasha is incorrect. you would add the 8x and the 3x not subtract them. Dante is correct because he adds  3x and 5x and he also adds 6 to both sides of the equation. Hope I helped!
8 0
3 years ago
Question 20 not yet answered marked out of 1.00 not flaggedflag question question text luna created a trash can in the shape of
Alex Ar [27]

Consider the triangle with sides a=1.6, b=2.3 and c=1.2 feet. You can use cosine theorem twice to find two unknown angles:

1.

b^2=a^2+c^2-2ac\cos \angle B,\\ (2.3)^2=(1.6)^2+(1.2)^2-2\cdot 1.6\cdot 1.2\cos \angle B,\\ 5.29=2.56+1.44-3.84\cos \angle B,\\ 3.84\cos \angle B=4-5.29=-1.29,\\\cos \angle B=-\dfrac{1.29}{3.84} =-0.336

Then you can conclude that ∠B is obtuse (because \cos \angle B) and m∠B=110°.

2.

c^2=a^2+b^2-2ab\cos \angle C,\\ (1.2)^2=(1.6)^2+(2.3)^2-2\cdot 1.6\cdot 2.3\cos \angle C,\\ 1.44=2.56+5.29-7.36\cos \angle C,\\ 7.36\cos \angle C=7.85-1.44=6.41,\\\cos \angle C=\dfrac{6.41}{7.36} =0.871.

Then you can conclude that ∠C is acute (because \cos \angle C>0) and m∠C=29°.

3. m∠A+m∠B+m∠C=180°, then m∠A=180°-110°-29°=41°.

Answer: m∠A=41° (∠A is opposite to the side a=1.6), m∠B=110° (∠B is opposite to the side b=2.3) and m∠C=29° (∠C is opposite to the side c=1.2)

3 0
3 years ago
Translate this sentence into an equation.
lyudmila [28]

Answer:

5 x m = 55

Step-by-step explanation:

This is because 55 is the product and this means multiplication and 5 x something is 55

4 0
2 years ago
Ggggggggggggggggggggg
den301095 [7]

Answer:

yes

Step-by-step explanation:

repeatedly type g's on your keyboard or phone

8 0
3 years ago
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