Answer:
27
Step-by-step explanation:
5e-8+2e-1= 180
7e-9= 180
7e=189
e= 27°
work out the area of this trapezium
6cm
10cm
8cm
17cm
Answer:
(81√15)/4 ≈ 78.43 cm²
Step-by-step explanation:
It can help to draw a diagram.
The base angle at the side of length 6 can be found using the Law of Cosines. Its opposite side is of length 8, and the two adjacent sides are of length 6 and 7. So, we have ...
8² = 6² +7² -2·6·7·cos(α)
cos(α) = (36+49-64)/(84) = 1/4
α = arccos(1/4) ≈ 75.522°
Then the height of the trapezium is ...
6·sin(75.522°) ≈ 5.80948 . . . . cm
__
The area of the trapezium is given by the formula ...
A = 1/2(b1 +b2)h
A = (1/2)(17 +10)(5.80948) . . . . cm²
A ≈ 78.43 cm²
__
Of course, sin(arccos(1/4)) = (√15)/4, so the exact formulation of the area is ...
A = (81√15)/4 cm²
Charlie currently has $45 in savings. He had been saving $9 each week. Yesterday he spent $126 of the savings. For how many had he been saving?
Explain how your equations were affected by the sign of the ordered pair values (positive or negative).
Given right triangle XYZ, what is the value of tan(Y)?
One-half
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction
Answer:
StartFraction StartRoot 3 EndRoot Over 3 EndFractionStep-by-step explanation:
Find the diagram attached.
From the right triangle XYZ:
XY is the hypotenuse
XZ and YZ are opposite and adjacent
To get value of tan(Y), we will use the SOH, CAH, TOA, trigonometry identity.
According to TOA:
Tan(Y) = XZ/ZY
First let us get XZ
Using SOH
SinY = opp/hyp = XZ/XY
SinY = XZ/4
Sin30 = XZ/4
XZ = 4sin30
XZ = 4(0.5)
XZ = 2units
Next is to get ZY:
Using Pythagoras theorem:
ZY²+XZ² = XY²
ZY² = XY²-XZ²
ZY² = 4²-2²
ZY² = 16-4
ZY² = 12
ZY = √12
ZY = √4*3
ZY = 2√3
Solve for tan(Y):
Since Tan(Y) = XZ/ZY
Tan(Y) = 2/2√3
Tan(Y) = 1/√3
Rationalize
Tan(Y) = 1/√3*√3/√3
Tan(Y) = √3/√9
Tan(Y) = √3/3
Hence the correct option is A. StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Answer:
B
Step-by-step explanation:
StartRoot 3 EndRoot
You buy a football for $25. It is on sale for 15% off. How much do you save?
$28.75
$3.75
$21.25
$15
Answer:
$3.75
Step-by-step explanation:
At a tree farm, there are 9 rows of 36 spruce trees.In each row, 14 of the spruce trees are blue spruce. How many spruce trees are NOT blue spruce?
Answer:
198 spruce are NOT blue
Step-by-step explanation:
Answer:
22 not blue each row.
198 = ANSWER
Step-by-step explanation:
Will give Branliest!!!
whitch inequality is true?
A) 2pi-1≤5
B) pi+8≤11
what did you do to numerators? what did you do too to the denominatores?
Answer:
what do you mean by "what do you do to...."
A box measures 15 inches by 8 inches by 5 inches. What is the length of its longest diagonal?
Round to the nearest whole number
Caleb types 100 words in 5 minutThe table below shows the cost of bananas at a local grocery store.
Banana Prices
Weight of Bananas
(pounds)
Cost
($)
1
0.75
2
1.50
3
2.25
4
3.00
?
3.75
How many pounds of bananas cost $3.75?es. What is the unit rate
Help (no it’s not HEAD)
Answer:
AIHC
Step-by-step explanation:
W(x)=-3x-4 find w (7)
Answer:
w=-7
Step-by-step explanation:
Soooo-
W(x)=-3x-4
divide both sides by x
W=-3-4
combine like terms
W=-7
Answer:
w(4)=3(4)+7
w(4)=12+7
w(4)=19
which of the option goes in the box i need hlep pls
PLZ help I am confusion. Math is hard
Answer:
It is C I am good at math
Step-by-step explanation:
Can someone please help me?
-f -5(2f - 3). Expand and combine like terms.
A square serving platter has an area of 124 inches squared. Which is the best estimate of the side length of the platter?
Answer:
Approximately 11 inches
Step-by-step explanation:
Answer: d 11.1 inches
Step-by-step explanation:
Cute
A team of bakers can roll and form 5 dozen pretzels in 9 minutes. How many pretzels can this team form in 1 hour?
This team can form
pretzels in 1 hour.
Answer:
This team can form 400 pretzels in one hour
Step-by-step explanation:
How many pretzels in 9 minutes?
5(12)=60
Solve as proportion
60 pretzels = 9 minutes
x pretzels = 60 minutes
60(60)=9x
3600=9x
Divide both sides by 9
x= 400 pretzels
This team can form 400 pretzels in 1 hour
Answer:
this team can form 30 pretzels in 1 hour
Step-by-step explanation:
60 minutes are in a hour, and 60 divided by 9 is 6.6. So that means you would have to use 6. So 9 x 6 equals 54. Now do 5 x 6 and that would equal 30.
Simone examined the pattern in the table.
Powers of 10
Value
10 Superscript 1
10
10 Superscript 0
1
10 Superscript negative 1
StartFraction 1 Over 10 EndFraction
10 Superscript negative 2
StartFraction 1 Over 100 EndFraction
10 Superscript negative 3
StartFraction 1 Over 1000 EndFraction
10 Superscript negative 4
StartFraction 1 Over 10,000 EndFraction
Based on the pattern, which power of 10 would have a value of StartFraction 1 Over 1,000,000 EndFraction?
10 Superscript negative 6
10 Superscript negative 5
10 Superscript 5
10 Superscript 6
Answer:
C. 10 Superscript 5
Step-by-step explanation:
Answer:
10 scripture 5
Step-by-step explanation:
PLEASE ANSWER THIS ASAP!!!
Answer:
so --#9 siunuens sidbishdidhdh did he idbd
What is the measure of angle c?
A. 30°
B. 70°
C. 110°
D. 40°
Answer:
B - 70
Step-by-step explanation:
The angles in a triangle always add up to 180.
70+40=110
180-110=70
Answer:
70 degrees
Step-by-step explanation:
All triangles have 3 angles that add up to 180 degreesHow to solve:40 + 70 + a = 180 // make equation 110 + a = 180 // add like terms- 110 - 110 // subtract 110 on both sides a = 7070 degreesHope this helps :)
is the first number a multiple of the second? 56, 8:
Answer:
no
Step-by-step explanation:
no bc 8 is a multiple of 56, not 56 a multiple of 8
if you could subscribe to my friend penny_pg3d on YT that would be great!
The problem C(x)=25x+50 represents the labor coat in dollars for quick cedar to build a deck where x is the number of hours of labor
Answer: 18.6 or 93/5
Step-by-step explanation:
See attached picture
a. Connie has $100 in her piggy bank. Ryan has 3 times more than Connie. How much money does Ryan have?
Joe's equation: 100 cross times 3 equals r
Answer:
Its 300
Step-by-step explanation:
Because 100 x 30 = 300
What is the distance -4 and 7 on a number line?
Miguel had $320 dollars in his bank account and adds $15 each month. How many months will it take for Miguel to have more than $910 in his account.
Answer: just more than 39.3 months
Step-by-step explanation:
$320 + 15m = $910
-320 + 15m = $910 - $320
15m= $590
15 15
m= 39.3 months
What is the quotient of 24336 ÷ 48 ?
Answer:
507
Step-by-step explanation:
i used a calculator
If Kailyn ran 3 miles in 20 minutes, how many miles would she run in 1 hour?
1 hour = how many minutes?
Answer:
1 hr =60 mins kailyn ran 9 miles in 1 hour
Step-by-step explanation:
Hope this helps:)
22+n=-12 solve for n
Answer:
n= -34
Step-by-step explanation:
You want to get n alone so you would subtract 22 from both sides and -12 - 22 is -34
Answer:
-34
Step-by-step explanation:
22+n=-12
We move all terms to the left:
22+n-(-12)=0
We add all the numbers together, and all the variables
n+34=0
We move all terms containing n to the left, all other terms to the right
n=-34
True or false If LM = MP, then M must be the midpoint of LP.
Answer :
True...LP is a line in which M is the mid point...