Answer:
[tex]BC=12.8,\\AC=15.1[/tex]
Step-by-step explanation:
In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.
Therefore, we have the following equation:
[tex]\tan 58^{\circ}=\frac{BC}{8}[/tex]
Solving, we get:
[tex]BC=8\tan 58^{\circ}\approx \boxed{12.8}[/tex]
Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.
[tex]\cos 58^{\circ}=\frac{8}{AC},\\AC=\frac{8}{\cos 58^{\circ}},\\AC\approx \boxed{15.1}[/tex]
We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.
Using the Pythagorean theorem to verify our answers:
[tex]8^2+(8\tan 58^{\circ})^2=\left(\frac{8}{\cos 58^{\circ}}\right)^2\:\checkmark[/tex]
The base of a prism is a square 7 cm on a side. The height of the prism is 10 cm. The volume is _?_ cm3.
Answer:
70 cm^3
hope this helps
have a good day :)
Step-by-step explanation:
base=length and width so 7 x 10=70 cm3
what is the area?
A) 99 sq units
B) 132 sq units
C) 198 sq units
D) 264 sq units
Answer:
132 sq units
Step-by-step explanation:
Which equation is equivalent to 23x= 10?
log, 10 = 30
log, 3x = 10
log 2 = 30
log 3.0
2
After applying some properties of logarithm the correct expression for the given logarithmic equation we get is 3x = log₂ 10.
Use the concept of logarithm defined as:
The logarithmic function is the opposite of the exponentiation of that function.
It can be mathematically defined as:
For [tex]x > 0 , a > 0[/tex], and [tex]a\neq1[/tex],
[tex]y= log_a x[/tex] if and only if x = ay
Then the function is given by
[tex]f(x) = log_a x[/tex]
Where a is the base of function.
The given expression is:
[tex]2^{3x} = 10[/tex]
Take log both sides,
[tex]\text{log } 2^{3x} = \text{log } 10[/tex]
Since we know that,
[tex]\text{ log} a^n = n\text{ log} a[/tex]
Therefore,
3x log 2 = log 10
Dividing both sides by 2
3x = log10/log2
Since we know that,
[tex]\text{log} _a b = \dfrac{\text{log}_c b}{\text{log}_c a}[/tex]
Therefore,
3x = log₂ 10.
Hence,
The correct expression is 3x = log₂ 10.
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Solve for x solve for x please !!!
Answer:
cos(16°)•10=x
option one: 9.613
The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. Find the numbers.
Please use system of linear equations by elimination OR substitution. Please show the work as well.
Answer:
x = -6
y = 9
Step-by-step explanation:
The sum of two numbers is 3
x + y = 3
twice the larger number is 36 more than three times the smaller number
2y = 3x + 36
Divide both sides by 2
y = 1.5x + 18
substitute for y in the first equation
x + (1.5x + 18) = 3
2.5x = -15
divide both sides by 2.5
x = -6
Substitute for x in the first equation
-6 + y = 3
y = 9
The sum of two numbers is 3, and twice the larger number is 36 more than three times the smaller number. The number are x = -6 and y = 9.
What is linear equation?A linear equation is an equation in which each term has at max one degree.
Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on a cartesian plane
with axes of those variables, give a straight line.
It is given that the sum of two numbers is 3.
x + y = 3
Also, twice the larger number is 36 more than three times the smaller number, then
2y = 3x + 36
Divide both sides by 2
y = 1.5x + 18
By substituting for y in the first equation
x + (1.5x + 18) = 3
2.5x = -15
now, divide both sides by 2.5
x = -6
Substitute for x in the first equation
-6 + y = 3
y = 9
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A store was trying to sell a bed set for 475$. After a while, they marked the price tag down 35%. If tax is 5% (of the sale price) how much would the bed cost
Answer:
$324.19
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Price = $475
Price tag down = 35%
Tax = 5%
So, price after tag down = $475 - ( $475 × 35%)
= $475 - $166.25 = $308.75
Now, we calculate tax value after price tag down,
Tax value = $308.75 × 5% = $15.44
So, we can calculate the bed cost by using following formula,
Bed cost = Price after tag down + Tax value
= $308.75 + 15.44
= $324.19
A 170 ft string attached to a kite makes a 40⁰ angle with the ground. What is the height of the kite to the nearest tenth? 130.2 ft 33 ft 142.6 ft 109.3 ft
Answer:
109.3 ft
Step-by-step explanation:
Remembering SOHCAHTOA
We would be using sin
sin = opposite / hypotenuse
sin 40 = x / 170
0.6428 = x/170
x = 0.6428 x 170 = 109.3 ft
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Please help. I would appreciate it.
Answer:
c
Step-by-step explanation:
280/2016 * 13000000
answer is option d 2.8 million
I’ll give brainly
Is the following statement
possible or impossible?
A triangle has side lengths of
3, 7, and 10
Answer:
Possible
Step-by-step explanation:
The rule for triangle side lengths is that the two shortest sides must add up to the longest side so it is possible because
3+7 = 10
Two short sides = The longest side
Answer:
possible
Step-by-step explanation:
3+7= 10
Please I need help asap
Answer:
area of a triangle
1/2 base ×height
1/2×15×8.5
=63.75cm ^2
Answer:
63.75cm^2 / square centimeters
Step-by-step explanation:
The area of a triangle is calculated by multiplying 1/2 times the base, times the height.
A = (1/2)(base)(height)
A = (0.5)(15)(8.5)
A =63.75
Un cuerpo de 180 kg se debe lanzar hacia una distancia de 25 m. ¿Qué valor tiene el trabajo que se realiza al lanzarlo?
Answer:
45, 000 J o 45 KJ
Step-by-step explanation:
Recordemos que trabajo realizado = fuerza * distancia
En este caso, fuerza = peso del objeto
Por lo tanto, peso del objeto = 180 Kg * 10ms ^ 2 = 1800 N
Por eso;
Trabajo realizado = 1800 N * 25 m = 45, 000 J o 45 KJ
Find the mean (average) of {22, 24, 13, 37, 20. 16}
What is the simplified form of the rational expression below?
3^2 - 48/
2^2 + 8x
Prove the identity
sin(x) = cos(x)tan(x)
Answer:
Step-by-step explanation:
[tex]sin ~x=sin~x \times \frac{cos~x}{cos~x} =\frac{sin~x}{cos~x} \times cos ~x=tan~x*cos ~x[/tex]
How does the product of two fractions less
than 1 compare with the two fractions
being multiplied? Is the product greater
than, less than, or equal to each fraction?
How do you know?
Answer:
Less than
Step-by-step explanation:
EX:
1/2 * 1/2 = 1/4
1*1 = 1
2*2 = 4
when you multiply two fractions, you get a fraction of a fraction.
Find the slope of the line parallel to the line graphed.
A) -1
B) 0
C) 1
D) undefined
Find the distance x rounded to
the nearest tenth.
Answer:
[tex]x=0.1 ~ft[/tex]
Step-by-step explanation:
[tex]cot30=\frac{B}{H} =\frac{B}{H}[/tex]
[tex]\frac{\sqrt{3} }{2} =\frac{B}{H}=H=\frac{16}{\sqrt{3} }[/tex]
[tex]sin70=\frac{X}{H} =\frac{P}{H}[/tex]
[tex]sin70=\frac{x}{\frac{16}{\sqrt{3} } }[/tex]
[tex]x=\frac{\sqrt{3} }{16 ~sin70}[/tex]
[tex]=0.1152[/tex]
[tex]x=0.1[/tex]
----------------------
hope it helps
have a great day!!
Answer: 9.7
Step-by-step explanation: I got this question right
70+30 = 100
B = 180 - 100 - 20
B = 60°
80+20 = 100
C = 180 - 100 - 30
C = 50
DB/sin100 = 8/sin(60)
8*sin(100)/sin(60)
DB = 9.0973
DC/sin(30) = 8/sin(50)
8*sin(30)/sin(50)
DC = 5.22163
x = [tex]\sqrt{5.22163^{2} +9.0973^{2} -2*5.22163*9.0973*cos(80)[/tex]
x = 9.7
i cant resolve this equation : 2x = -2x + 8, can you help me please
Answer:
x = 2
Step-by-step explanation:
OK so lets do it together.
2x = -2x + 8
Subtract 8 from both sides
2x - 8 = -2x
Add 2x to both sides
4x - 8 = 0
Add 8 to both sides
4x = 8
Divide each side by 4
x = 2
Check:
4 = -4 + 8
4 = 4
correct
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A number is chosen at random from 6 to 25. Find the probability of selecting an even number or multiple of 3.
Answer:
17/25
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
even numbers between 6 and 25 = 6 8 10 12 14 16 18 20 22 24
multiples of 3 = 6 9 12 15 18 21 24
HELP! Quick! Test! Will mark brainliest!
Part II: Using the variable you defined in Part I, write an expression to represent the
amount of money Sam will spend in one year (Sam's cost). (2 points)
Answer:
Number of wooden carving = a
Total amount Sam spend = 1,200 + 4a
Total revenue of Sam = 15a
Number of wooden carving make to earn profit $4,300 = 500 carvings
Step-by-step explanation:
Given:
Sales price of each wooden carving = $15
Fixed cost = $1,200
Variable cost = $4 for each
Find:
Number of wooden carving make to earn profit $4,300
Computation:
Part 1
Assume
Number of wooden carving = a
Part 2
Total amount Sam spend = 1,200 + 4a
Part 3
Total revenue of Sam = 15a
Part 4
Total profit of Sam = Total revenue of Sam - Total cost of Sam
4,300 = 15a - [1,200 + 4a]
4,300 = 15a - 1,200 - 4a
11a = 5,500
a = 5,500 / 11
Number of wooden carving make to earn profit $4,300 = 500 carvings
A right triangle is shown below. What is the length of the side X, to the nearest tenth of a centimeter?
9×9+6×6
81+36
√117
10.816
nearest tenth=10.8cm
In a flower garden, there are 6 tulips for every 7 daisies. If there are 36 tulips, how many daisies are there? A. 42 B. 48 C. 44 D. 40
Answer:
Step-by-step explanation:
I think it's b
Caves being formed by acid rain wearing down limestone is an example of...
Group of answer choices
Weathering
Erosion
Deposition
Destructive force
Answer:
Weathering
Step-by-step explanation:
Weathering is when water, ice, or wind wear/break down rock into smaller pieces and into sediments.
please. i am hanging on by a thread.
Answer:
x=6
Step-by-step explanation:
9(10)=15(×)
90=15×
90÷15=6
Which phrase represents the algebraic expression for r + 12?
A. The difference of a number and twelve.
B. The product of a number and twelve.
C. The quotient of a number and twelve.
D. The sum of a number and twelve.
Answer: D) The sum of a number and twelve
==================================================
Explanation:
r = an unknown number
r+12 = sum of the unknown number and 12
The term "sum" refers specifically to the result of an addition problem.
As another example, saying 2+3 = 5 has a sum of 5.
Alex was looking to buy a computer. The
computer was originally $350, but he had
a coupon for 25% off. How much did the
computer cost with the discount?
The lengths of the 2 diagonal of a rhombus are 24cm and 32cm what is the length of one side of the rhombus.
Answer:
[tex]height = \frac{24}{2} = 12 \: cm \\ adjacent = \frac{32}{2} = 16 \: cm[/tex]
We get a triangle of height 12 cm and adjacent 16 cm
[tex]side = \sqrt{ {12}^{2} + {16}^{2} } \\ = \sqrt{400} \\ = 20 \: cm[/tex]
Answer:
side=√(24/2)²+(32/2)²
=√12²+16²
=√400
= 20
..Its C right.????........
I’m burnt out please help!
Answer:
236+590=
Step-by-step explanation:
236
+590
700+120+6=820 ɨ tɦɨռҡ
Someone help me with this one
Answer:
Subtract 1/3 from 2/3 dont forget to add the variable h!
1/3h + 11 = 8
-11 -11
1/3h = -3
Now we multiply by 3 on both sides
H = -9