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Nookie1986 [14]
3 years ago
10

Find the third angle in a triangle when the other two angles are (2a-32)° and (3a+22)°​

Mathematics
1 answer:
kati45 [8]3 years ago
6 0

Answer:

(190-5a)°

Step-by-step explanation:

Sum of internal angles of a triangle equals to 180°

If the third angle is x, then we have:

  • (2a-32)°+(3a+22)° +x = 180°
  • (5a- 10)° +x= 180°
  • x= (180+10-5a)°
  • x= (190-5a)°

The third angle is: (190-5a)°

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The null and alternative hypotheses are given. Determine whether the hypothesis test is​ left-tailed, right-tailed, or​ two-tail
Rainbow [258]

Answer:

The hypothesis test is​ right-tailed and the parameter that is being​ tested is the population standard deviation (\sigma).

Step-by-step explanation:

We are given with the following null and alternative hypothesis below;

Null Hypothesis, H_0 : \sigma = 7

Alternate Hypothesis, H_A : \sigma > 7

The parameter that is being tested here is the population standard deviation (\sigma). So, the null hypothesis states that the population standard deviation is equal to 7 while on the other hand, the alternate hypothesis states that the population standard deviation is greater than 7.

The above hypothesis test is right-tailed because in the alternate hypothesis, greater than sign is there which means that if the test statistics will be more than the critical value, then the null hypothesis will be rejected.

4 0
4 years ago
A cuboid with a volume of 925cm^3 has dimensions.
AVprozaik [17]

Answer:

Step-by-step explanation:

Volume of the cuboid = Length * Width * Height

Given

Length = 4cm

Width = (x+1)cm

Height = (x-11)cm

Volume of the cuboid = 4(x+1)(x+11)

Volume of the cuboid = 4(x^2+11x+x+11)

Volume of the cuboid = 4(x^2+12x+11)

Volume of the cuboid = 4x*2+48x+44

925 = 4x*2+48x+44

4x*2+48x+44-925 = 0

4x*2+48x-881 = 0

Divide through by 4

x^2 + 12x - 220.25 = 0

Factorize using the general formula;

x = -12±√12²-4(-220.25)/2

x = -12±√144+881/2

x = -12±√1025/2

x = -12±32/2

x = 12+32/2

x = 20/2

x = 10

Hence the dimension of the cuboid is 4cm, (10+1)cm and (10+11)cm

Dimension is 4cm by 11cm by 21cm

3 0
3 years ago
Solve for t<br><br>9t - 10 = 8t​
erastovalidia [21]

Answer:

t = 10

Step-by-step explanation:

9t - 10 = 8t

Add 10 to both sides of the equation

9t = 8t + 10

Subtract 8t from both sides of the equation

t = 10

Hope this helps :)

7 0
4 years ago
Read 2 more answers
Help me no link please ​
Genrish500 [490]

Answer:

is it only my or is the picture like static

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
(iv) The area of a rectangle with breadth<br>5 cm is 30 sq. cm. Find its length and<br>perimeter.​
Nataly_w [17]

Answer:

Step-by-step explanation:

if the breadth is 5cm, then you divide 30/5 to get your length since it's length times breadth to get the area, so 6cm for the length

and then it's 2b plus 2l to get your perimeter so

2(5)+2(6)=p

10 plus 12 equals p

22 is your perimeter, 6 is your length

3 0
3 years ago
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