Answer:
1,500
Step-by-step explanation:
Ratio of Sugar to Flour: 5:8 -> 25:40
Ratio of Flour to Baking Soda: 10:1 -> 40:4
Sugar to Flour to Soda: 25x:40x:4x
=
-> x = 60
Sugar = 25x = 1,500
Hope this helps :)
Can someone please help?
1 answer:
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Answer:
Option B
The measure of angle b is 75°
Step-by-step explanation:
Method 1
we know that
In a inscribed quadrilateral, the opposite angles are supplementary
so
∠a+60°=180° ------> equation A
∠b+105°=180° -----> equation B
To find the measure of angle b solve the equation B
∠b+105°=180°
Subtract 105° both sides
∠b+105°-105°=180°-105°
∠b=75°
Method 2
see the attached figure with letters to better understand the problem
we know that
The inscribed angle measures half that of the arc comprising
so
∠105°=(1/2)[arc ADC]
arc ADC=2*105°=210°
<em><u>Find the measure of arc ABC</u></em>
we know that
arc ABC+arc ADC=360° -----> by complete circle
arc ABC=360°-210°=150°
<u><em>Find the measure of inscribed angle b</em></u>
∠b=(1/2)[arc ABC]
substitute
∠b=(1/2)[arc 150°]=75°
See the attached figure to better understand the problem
we know that
PB+BQ=1000 ft------->PB=1000-BQ-------> equation 1
in the triangle PAB
tan 50=AB/PB----------> AB=PB*tan 50------> equation 2
in the triangle ABQ
tan 25=AB/BQ------> AB=BQ*tan 25-------> equation 3
equals equation 2 and equation 3
PB*tan 50=BQ*tan 25--------> equation 4
substitute equation 1 in equation 4
[1000-BQ]*tan 50=BQ*tan 25-----> 1000*tan 50-BQ*tan 50=BQ*tan 25
BQ*[tan 25+tan 50]=1000*tan 50-----> BQ=1000*tan 50/[tan 25+tan 50]
BQ=718.76 ft
PB=1000-718.76-----> PB=281.24 ft
AB=PB*tan 50-----> 281.24*tan 50------> 335.17 ft
the answer is
335.17 ft
we know that
PB+BQ=1000 ft------->PB=1000-BQ-------> equation 1
in the triangle PAB
tan 50=AB/PB----------> AB=PB*tan 50------> equation 2
in the triangle ABQ
tan 25=AB/BQ------> AB=BQ*tan 25-------> equation 3
equals equation 2 and equation 3
PB*tan 50=BQ*tan 25--------> equation 4
substitute equation 1 in equation 4
[1000-BQ]*tan 50=BQ*tan 25-----> 1000*tan 50-BQ*tan 50=BQ*tan 25
BQ*[tan 25+tan 50]=1000*tan 50-----> BQ=1000*tan 50/[tan 25+tan 50]
BQ=718.76 ft
PB=1000-718.76-----> PB=281.24 ft
AB=PB*tan 50-----> 281.24*tan 50------> 335.17 ft
the answer is
335.17 ft