Answer:
(1) length AB = 21.0
(2) length BC = 45.0
Step-by-step explanation:
(1) To determine AB, apply Cosine rule;
[tex]|AB|^2 = |AC|^2 + |BC|^2 \ - \ 2[|AC| \times |BC]cos \ C\\\\|AB|^2 = 13^2 + 29^2 \ - \ 2(13 \times 29) cos(41)\\\\|AB|^2 = 1010 - 569.05\\\\|AB|^2 = 440.95\\\\|AB|= \sqrt{ 440.95} \\\\|AB| = 21.0[/tex]
(2) To determine BC, also apply cosine rule;
[tex]|BC|^2 = |AB|^2 + |AC|^2 \ - \ 2[|AB| \times |AC]cos \ A\\\\|BC|^2 = 30^2 + 21^2 \ - \ 2(30 \times 21) cos(123)\\\\|BC|^2 = 1341 - (-686.245)\\\\|BC|^2 = 1341 + 686.245\\\\ |BC| = 2027.245\\\\|BC|= \sqrt{ 2027.245} \\\\|BC| = 45.0[/tex]
Please I need help ASAP
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plz mark as brainliest
Tommy bought a total of 20 game cards some of which cost $0.25 each. Of tommy spent $4.20 to buy these cards how many cards of each type did he buy
The question is incomplete:
Tommy bought a total of 20 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Tommy spent $4.20 to buy these cards,how many cards of each type did he buy?
Answer:
He bought 12 cards that cost $0.25 and 8 cards that cost $0.15.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=20 (1)
0.25x+0.15y=4.20 (2)
First, you can solve for x in (1):
x=20-y (3)
Now, you can replace (3) in (2):
0.25(20-y)+0.15y=4.20
5-0.25y+0.15y=4.20
5-0.10y=4.20
5-4.20=0.10y
0.80=0.10y
y=0.80/0.10
y=8
Finally, you can replace the value of y in (3) to find x:
x=20-y
x=20-8
x=12
According to this, he bought 12 cards that cost $0.25 and 8 cards that cost $0.15.
What is the value of x if 5^ x+2 =5^ 9 ? O x = - 11 O x = - 7 x = 7 x = 11 O O
Answer:
Step-by-step explanation:
5ˣ⁺² = 5⁹
log₅(5ˣ⁺²) = log₅(5⁹)
x+2 = 9
x = 7
i will mark you brainiest if you can answer this
Answer:
D
Step-by-step explanation:
The diameter of a basketball is approximately 9 inches. What is its volume? Round your answer to the nearest whole number.
A. 339in^3
B. 38in^3
C. 3052in^3
D. 382in^3
Answer:
V ≈ 382 in^3
Step-by-step explanation:
1. Volume of a sphere
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
2. Get radius
r = d/2
r = 4.5
3. Plug in and solve
[tex]V=\frac{4}{3}\pi 4.5^{3}[/tex]
[tex]V=381.7[/tex]
. Find the slope of the line passing through the points (-3,5) and (7,6).
Answer:
Answer is in the photo below.
Slope= 0.1
Step-by-step explanation:
Create an equation to solve for x, then solve to find its value.
Answer:
btnhyjum6666666i-n,,,,,,,,,,,
Step-by-step explanation:
vwgbthyjuuuuuuuuuu'
lJhbgvft
A car travels 420 miles in 7 hours. If the rate remains the same, how far does it travel in 11 hours?
A. 660 miles
B. 480 miles
C. 270 miles
D. 60 miles
Answer:
A. 660 miles
Step-by-step explanation:
420 ÷ 7 = 60 60 x 4 = 240 240 + 420 = 660
Is | -7 | bigger or smaller than -7?
Answer:
|-7| is larger than -7
Step-by-step explanation:
|-7| is absolute value which means both 7 and negative 7.
7 if larger than negative 7 so |-7| > -7
PLEASE HELPPPP FIND THE SURFACE AREA OF THE PYRAMID.
Answer:
4ft
Step-by-step explanation:
Help please
Brainiest answer to whoever is first
Hi yall plz help me!
Answer:
the correct answer is
oh it's not possible
i give u a hint
pit the value of y
PLZZZ WHATS THE ANSWER IM DOING A MATH TEST
Answer:
The Bottom one I think-
Step-by-step explanation:
I hope that helped
Answer:
Hmm, I was going to say top, but if the first guy that said bottom was right...then he's right :/
It's easy 5th-grade math please solve the whole problem (the whole backside is the problem u can look I will mark the brainiest...
Answer:
which question is it? and please take the picture from the top.
Step-by-step explanation:
And Also will answer in the replies.
In ΔCDE, the measure of ∠E=90°, the measure of ∠C=75°, and CD = 5.8 feet. Find the length of EC to the nearest tenth of a foot.
Answer:
1.5
Step-by-step explanation:
Home help plz really appreciate it!!!!!
Answer:
angle AGE=113.5
Step-by-step explanation:
3x-28=66-x
4x=94
x=23.5
23.5+90=113.5
Answer: 113.5° is 100% the correct answer.
Step-by-step explanation:
Plz help fast will mark the brainiest!!!
4x-9=2x+5..solve for X..Help?
Answer:
x = 7
Step-by-step explanation:
4x - 9 = 2x +5 add 9 from both sides
4x = 2x +14 subtract 2x from both sides
2x = 14. divide both sides by 2
x = 7
Answer:
x = 7
Step-by-step explanation:
Rewrite equation
4x - 9 = 2x + 5
Add 9 on both sides
4x -9 +9 = 2x + 5 + 9
Simplify
4x = 2x + 14
Subtract 2x on both sides
4x - 2x = 2x + 14 - 2x
2x = 14
Finally divide both sides by 2
2x/2 = 14/2
x = 7
Hope this helps :)
Maya has a sandbox that is 4 1/2 feet long, 3 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill the sandbox completely?
A. 13 and 1/2
B. 6 and 3/4
C. 5 and 1/4
D. 8
We need to find the area. So we multiply the dimensions.
3x1/2=1.5
1.5x4 1/2=6.75
Decimal was my go-to so we need to convert back to a fraction.
6.75= 6 3/4
So the answer is B.
---
hope it helps
I’LL GUVE YOU BRAINLESS... For the water balloon fight, your mom filled up one hundred balloons
with 5 gallons of water. How many ounces of water did she use?
Make sure to label your answer in ounces.
Answer:
640 ounces
Step-by-step explanation:
128 fluid ounces per gallon x 5 gallons = 640 ounces
640 /100 = 6.4 ounces per balloon
ahaha please help. Find the area of the right triangle
Answer:
8 units
Step-by-step explanation:
Area of a triangle = 1/2 × base × height
= 1/2 × 8 ×2
= 8
A construction company is preparing 10 acres of land for a
new housing community. The land contains large rocks that
need to be removed. A machine removes 15 rocks from 360
square feet of land.
1 acre = 43,560 square feet
About how many rocks will need to be removed from the 10
acres of land?
Answer:
A
Step-by-step explanation:
43560/360 = 121
131x15 = 1815 rocks per acre
1815 x 10 acres = 18150 rocks
Solve each equation and match the solution.
e +8= 31
Answer:e=23
Step-by-step explanation:
e+8=31
8-31=23
17*10-12
I need it fast please
Answer:
158
Step-by-step explanation:
You buy 15 bags of gummy bears and 3 bags of chocolate for $25. You then buy 3 bags of gummy bears and 5 bag of chocolate for $10. What is the price of a bag of gummy bears and a bag of chocolate?
Answer:
Price of one bag of gummy bears = $1.44
Price of one bag of chocolates = $1.14
Step-by-step explanation:
Let the price of one bag of gummy bears = $b
Price of one bag of chocolate = $c
Since, cost of 15 bags of gummy bears and 3 bags of chocolates is $25
15b + 3c = 25 --------(1)
And cost of 3 bags of gummy bears and 5 bags of chocolates is $10
3b + 5c = 10 -----(2)
Equation (2) multiplied by 5 then subtracted from equation (1),
15b + 3c - 5(3b + 5c) = 25 - 50
15b + 3c - 15b - 25c = -25
-22c = -25
c = [tex]\frac{25}{22}[/tex]
c = 1.136 ≈ $1.14
From equation (1),
15b + 3(1.136) = 25
15b = 21.592
b = $1.44
Please help me solve the algebraic expressions
[tex] \frac{ 36+{w}^{2}x}{4w} [/tex]
[tex] \frac{ {d}^{3} + 6 }{3 {d}^{2} } [/tex]
[tex] \frac{2 {m}^{3} - 27}{12m} [/tex]
[tex] \frac{ {x}^{5} - 2 }{w {x}^{2} } [/tex]
solve for x.... please help
Answer:
x = 5
Step-by-step explanation:
Both angles add to 180, so by knowing that we can say...
16x - 5 + -5 + 22x = 180
Now simplify and solve
38x - 10 = 180
38x = 190
x = 5
find the value of given expression
[tex] \sqrt{25 \times 2} \times \sqrt{50} [/tex]
WILL GIVE BRAINLY!!!
Find the value of x. Round to the
nearest tenth.
9
4
O
X= | ?
Answer:
66.03 so 70
Step-by-step explanation:
since hypotunees has no value it cancels.
aso it leaves with an adjacent and oppisite
using trig function you will get
tan(x)=(9/4)
inverse tan to get x on its own
(x)=tan^-1(9/4)
put that on the calculater and you will get the angle
therefore
(x)=66.04 round it the nearest ten which is
70
Tamara has a piece of card that is blue on one side and white on the other.She cuts out the shape from the card.She turns over the shape so that the white side is showing.Which of the the shapes below could show the white side of Tamara's shape?
Answer:
Ahhhhhhhhhh
Step-by-step explanation:
just Ahhhhhhhhhhhhhh
Option C has reflective symmetry of the the shapes below could show the white side of Tamara's shape.
Symmetry refers to a balanced arrangement of parts or shapes that are identical or similar when folded, reflected, or rotated. In this case, Tamara has a shape cut out from a card that has a blue side and a white side. Then she turns over the shape, the white side is showing.
To determine which shape could show the white side, we need to consider the concept of symmetry. If the original shape had a symmetrical design, it means that when the shape is folded or reflected, both halves match perfectly.
In the given options, we should look for a shape that has reflective symmetry, also known as mirror symmetry. This means that if a line is drawn through the middle of the shape, one side is the mirror image of the other side.
Option C has reflective symmetry and the shape matches the original shape that Tamara cut out, it is possible for the white side of her shape to show when she turns it over.
To know more about reflective symmetry click here :
https://brainly.com/question/1593820
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