Trigonometry
what is the formula for trig
sin=o/h
cos=a/h
tan=o/a
what is the formula for area
A=π r2
SA=B+12p
what is the formula for Unit Pricing
solution:
example: 25x5=100
Solve:
Aiden is looking up at the top of the flag pole through a telescope in the parking lot. He estimated that the angle from the telescope to the top of the flag pole is 190 . What is the measure of the angle from the top of the flag pole down to the telescope.
X=190
<X=190
What is the formula for Pythagorean theorem
A2+B2= C2
what step did I mess up in
step1) cos=adj/hyp
step2) cos 12.2= x/5.4
step3) cos 12.2/5.4=x
step4) 0.181002943
Answer:
Step 3
cos 12.2/5.4=x
A sail boat has two sails shaped like right triangles
The mainsail is 5m long. The top of the sail makes and angle of 420 with the top of the mast. Determine the unknown side length and angle measure of the mainsail. express length to the nearest tenth of a meter and angles to the nearest degree.
5.6= O 5=A
Sin=O/H
sin 42=5.6/H 5.6-0.67=4.93 tan<=o/a
0.67=5.6/H tan<=5.6/3.2
0.67H=5.6 tan/tan=1.75/tan
0.67-0.67 <=600
H=4.93
Solve:
Determine the time-and-a-half rate for each of the following
1a) $10.50 1b) 13.00
Week1: 30hrs.
1a) 30x$10.50=315
week2: 48hrs.
1b) 35x&10.50=367.50
13x15.75=204.74
367.50+204.74= 572.25
10.50÷ 2=5.25
5.25+10.50=15.75 5.25+15.75=$21.00
Determine the value to the nearest tenth of a degree
cos-1(0.5238)
answer
58.41
calculate this question
Leg a= 3
Leg b= 4
c= √ a2+b2 = c2
the answer is
c=5
what is the length of BC?
AC=45m
AB=36m
A) 3m
B) 9m
C) 27m
D) 32
Answer is
C) 27m
What is a reasonable estimate for the area 32cm by 68cm piece of glass?
A) 180cm2
B)210cm2
C) 1800cm2
D) 2100cm2
Answer:
D) 2100cm2
32x68=2100cm2
solve:
During the last hour of the market, the vender reduces the price from $3.00 to $2.25/plant. What percent decrease is the sale price?
3.00-2.25=.75
.75 ÷ 3.00= 0.25
0.25 x 100= 25%
25% x 300= .75
3.00- .75=$2.25
Devon wants to draw an triangle
Hight is 8cm, Length is 7.5cm, hypotenuse is 11cm which set of dimension could he use for the triangle
A) 4cm, 3.5cm, 5cm
B) 12cm, 11.25cm, 17cm
C) 16cm, 14cm, 22cm
D) 24cm, 22.5cm, 33cm
Answer is
D) 24cm, 22.5cm, 33cm
Solve:
Bailey owns a 25-foot extension ladder. She puts the bottom of the ladder 5 feet from the house. Calculate how high up is the side of her house the ladder will reach. state your answer in feet and inches.
Answer:
A2+B2=C2
52+B2=252
25+B2=625
625-25=600
√B2=√600
B=24',5"
What is half of 100 and 200
Answer:
half of 100 is 200
half of 200 is 400
What is the approximate area of a circle with a diameter of 6 ft?
A) 10 ft2
B) 30 ft2
C)108 ft2
D) 200 ft2
Answer:
30ft2
A=πr2
A=3.14x3x3
A=3.14x9
A=30ft2
solve:
Lyndon is shopping online for a skateboard. He finds one for US$175, plus US$17.50 for shopping. He has seen the skateboard in a local store for $199
What is the total cost of the skateboard online in canadian dollars
( use 0.9726)
175+17.50=192.5 17.50=199=216.5
175x0.9726=170.205 216.5-170.21=C$46.29
170.21<- USI
Which of the following statements is always true about the hypotenuse of a right triangle?
A) the hypotenuse is opposite the right angle
B) the hypotenuse is at the top of a right triangle
C) the hypotenuse is to the left of the right angle
D) the hypotenuse is to the right of the right angle
Answer:
D) the hypotenuse is to the right of the right angle
solve
Drew is the quarterback for his high school football team. He can throw the ball about 30yds. A receiver lines up beside Drew. The receiver runs 20yds down the field, turns right, and runs 20 more yards. Can Drew's pass reach the receiver? Explain
Answer:
A2+B2=C2
202+202=C2
400+400=C2
√800=√C2
28.8=C
He will not because it will be a little to short for the receiver to catch it.
two angles have a measures of 240 and 720. Which expression best describes these angles?
A) Complementary
B) Supplementary
C) Complementary and Supplementary
D) Neither Complementary and Supplementary
Answer:
D) Neither Complementary and Supplementary
A 4-inch by 6-inch photo of labradorite has both sides doubled. What is the area of the enlarged photo?
A)96in.2
B) 72in.2
C) 48in.2
D) 24in.2
Answer:
C) 48in.2
4x6x2=48
Zack wants a new zoom lens. The model he wants costs $1025.00. The same model online costs US$899. The charge for shipping is US$19.50. Zack used the exchange rate
US$1=C$0.9726
1025x0.9726=996.915
996.92<-USl
899+19.50=918.50
996.92-918.50=78.42
Without using a calculator, what is the best estimate for the length of the hypotenuse
Opposite=3"
Adjacent=4"
A) about 5"
B)3"+4"
C) Between 3" and 4"
D) exactly 5"
Answer:
D) Exactly 5"
The dimensions of a rectangular soccer pitch for 10-years-olds are often 60 yards by 40 yards.
what must be the length of the diagonal of the soccer pitch? round your answer to the nearest yard
Answer:
A2+B2=C2
602+402=C2
3600+1600=C2
√5200=√C2
C=72 yards