Answer:
IH < IG < HG
Step-by-step explanation:
To solve this equation remember that angle measurements correspond with sides. So, the largest angle will be opposite of the longest side and the smallest angle will be opposite of the shortest side.
First, you need to find m<I; do this by subtracting 52 and 45 from 180. This means that m<I=83, making it the largest angle. Therefore, the angles, in order of least to greatest, are <G, <H, <I. So, to find the final answer, find the sides opposite of each of the angles. This means the answer is IH < IG < HG.
Answer:
The term "El Nino" refers to the warming of the central and eastern tropical Pacific waters that occurs every 3 to 7 years and typically lasts from 9 to 12 months. The 1997-1998 El Nino, the strongest ever recorded, affected climate patterns worldwide. Its effect, combined with an increasing trend in annual global temperatures, made 1998 the warmest year in the 20th century. Suppose you are a climatologist. You conduct a hypothesis test to determine whether the global mean temperature in the current year is different from the global mean temperature in 1998. Assume that the global mean temperature in 1998 is 14.3 degrees Celsius. You obtain a preliminary sample of temperatures from recording stations worldwide, which yields a sample mean of x bar = 15.1 degrees Celsius. Let mu denote the global mean temperature in the current year. Formulate your null and alternative hypotheses by selecting the appropriate values in the blue drop-down menus that follow.
<h2><em>hope</em><em> it</em><em> helps</em><em> you</em></h2>
<em>sorry</em><em> </em><em>i</em><em>f </em><em>it's </em><em>not</em><em> </em><em>helpful</em><em> </em>
<em>have </em><em>a </em><em>good</em><em> day</em>
Answer:
¹/₂₄
Step-by-step explanation:
Debbie used ⅚ of the cord for necklaces.
That left ⅙ of the cord for four bracelets.
Each bracelet used:
Fraction of cord = ⅙ ×¼ = ¹/₂₄
Debbie used ¹/₂₄ of the cord for each bracelet.
The question is incomplete:
James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20 what is the total amount james has in quarters?
a. $10.00
b. $6.20
c.$15.50
d.$25.00
Answer:
d.$25.00
Step-by-step explanation:
With the information provided, you can write the following equations given that dimes are equal to 0.10 and quarters to 0.25 to determine the number of dimes and quarters that James has:
x+y=162 (1)
0.10x+0.25y=31.20 (2), where:
x is the number of dimes
y is the number of quarters
First, you can solve for x in (1):
x=162-y (3)
Then, you have to replace (3) in (2) and solve for y:
0.10(162-y)+0.25y=31.20
16.2-0.10y+0.25y=31.20
0.15y=31.20-16.2
0.15y=15
y=15/0.15
y=100
Finally, you have to replace the value of y in (3) to find x:
x=162-100
x=62
Now, you know that James has 100 quarters and you can multiply this number for the value of a quarter to find the amount James has in quarters:
100*0.25=25
According to this, the answer is that James has $25 in quarters.