The punch bowl at Felicia's party is getting low, so she adds 12 cups of punch to
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Answer:
The base of the ladder is 2.58 m.
Step-by-step explanation:
Given that,
The angle of elevation for a ladder from the ground is 75°.
The length of a ladder, H = 10 foot
We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,
So, the base of the ladder is 2.58 m.
Answer:
Step-by-step explanation:
From the picture attached,
a). Triangle in the figure is ΔBCF
b). Since, and
are the parallel lines and m is a transversal line,
m∠FBC = m∠BFG [Alternate interior angles]
Since, and
are the parallel lines and n is a transversal line,
m∠BCF = m∠CFE [Alternate interior angles]
By triangle sum theorem in ΔBCF
m∠FBC + m∠BCF + m∠BFC = 180°
From the properties given above,
m∠BFG + m∠CFE + m∠BFC = 180°
m∠GFE = 180°
Therefore, angle GFE is the straight angle that will be useful in proving that the sum of the measures of the interior angles of the triangle is 180°.
Answer:
A 190-pound person would burn 285 calories at the same rate.
Step-by-step explanation:
<em>Calories burn depends on the weight</em>
<em>Weight of first person = 160</em>
Calories burn for 160 pounds in 30 mins = 237
Calories burn rate for 1 pound in 30 mins = = 1.5
<em>Calories burn for 190 Pound person would be:</em>
Weight of second person = 190
Calories burn for 190 pounds in 30 min:
As the burn rate of calories is same for the two persons:
= rate × weight
= 1.5 * 190
= 285 calories