Answer:Given : A triangle has sides of length 7 cm, 12 cm, and 15 cm .
To find :Angle opposite the side that is 7 cm long? Round to the nearest degree.
Solution : We have a triangle of sides a=7 cm, b= 12 cm, c=15 cm.
By using cosine rule : a² = b²+c²- 2 bc cos(A).
Where angle A is opposite to side a=7 cm.
Plugging the values in formula ,
(7)² = (12)²+ (15)²- 2(12)(15) cos(A).
49 = 144 + 225 - 360 cos(A).
49 = 369 - 360 cos(A) .
-320 = - 360 cos(A) .
On dividing by - 360 and switching side
A = cos^{-1}(0.89) = 27 \ degrees .
Therefore, angle opposite the side that is 7 cm is 27 degrees.
Answer:27
Step-by-step explanation:
27-8=19
Answer:
<em>26%</em>
Step-by-step explanation:
<em>In home run derby competition there were 32 home rinse hit out of 124 hits approximately</em>
Answer:
45x
Step-by-step explanation:
Plz mark brainliest
Answer and explanation:
Null hypothesis(H0) says sentiment for increasing speed limit in the two populations is the same
Alternative hypothesis(Ha) says sentiment for increasing speed limit in the two populations is different
Where p1 is the first population proportion =65/297= 0.22
And p2 is the second population proportion = 78/189= 0.41
P= p1+p2/n1+n2= 65+78/297+189= 0.29
Hence H0= p1-p2=0
Ha=p1-p2≠0
Test statistic= p1-p2/√p(1-p) (1/n1+1/n2)
= 0.22-0.41/√0.29(1-0.29)(1/297+1/189)
= -4.49
Critical value at 95% significance level= 1.96( from tables)
We therefore reject null hypothesis as critical value is greater than test statistic
Therefore the sentiment for increasing speed limit in the two populations is different
b. at proportions of 0.24 and 0.40 for p1 and p2 respectively
Test statistic = 0.24-0.40/0.29(1-0.29)(1/297+1/189)
= -3.78
P value is 0.0002 at 0.05 significance level
Hence probability =0.4998
