Answer:
74
Step-by-step explanation:
The measure of ∠F of the triangle FGH, where all the sides are known is 74 degrees to the nearest degree.
What is the law of cosine?When the three sides of a triangle is known, then to find any angle, the law of cosine is used.
It can be given as,
[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
In the triangle FGH the measure of the line segment f is 60 centimeter, the measure of the line segment g is 10 cm and the measure of the line segment h is 62 centimeters.
The measure of the angle ∠F has to be find out. To find the value of angle F where side f is 60 cm. Thus, put the values of the all the sides in the above formula as,
[tex]60^2=10^2+62^2-2(10)(62)\cos (F)\\3600=100+3844-1240\cos (F)\\ F=\cos^{-1}(0.27742)\\F\cong74^o[/tex]
Hence, the measure of ∠F of the triangle FGH, where all the sides are known is 74 degrees to the nearest degree.
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What is 18k + 30fk in like terms. Will give brainliest to correct answer.
Answer:
6k(5f+3)
Step-by-step explanation:
18k+30fk
Factor out 6.
6(3k+5fk)
Consider 3k+5fk. Factor out k.
k(3+5f)
Rewrite the complete factored expression.
6k(5f+3)
Answer:
6k(5f+3)
Step-by-step explanation:
18k+30fk
Factor out 6.
6(3k+5fk)
Consider 3k+5fk. Factor out k.
k(3+5f)
Rewrite the complete factored expression.
6k(5f+3)
11
A blue dress is marked down 15%. What is the sale price of the dress if the
regular price is $150?
Type your answer...
Answer:
45 dollar's ezzzzzzzzzzzzz
2 log x + log 11
WILL MARK BRAINLIEST
Answer:
[tex] log(11 {x}^{2} )[/tex]
Step-by-step explanation:
[tex]2logx + log11 \\ \\ = log {x}^{2} + log11 \\ \\ = log( {x}^{2} \times 11) \\ \\ = log(11 {x}^{2} )[/tex]
The Equivalent value of 2 log x + log 11 is log(11x²).
What is Logarithm?The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to express enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms can also be represented as multiplication and division of logarithms.
We have to find the value of 2 log x + log 11.
Using the property
log a + log b = log (ab)
and, 2 log a = log a²
So, 2 log x + log 11
= log x² + log 11
= log( x² × 11)
= log(11x²)
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Of the 40 students in a class , 2/5 are girls. Of the girls , 1/4 wear glasses. How many girls do not wear glasses
Answer:
12 girls
Step-by-step explanation:
2/5 x 40 = 16
1/4 x 16 = 4
16 - 4 = 12
solve for x please, will give braknliest
Solve 2x + 5 = 12 please help
Answer:
first method
subtract 5 from both side
2x + 5 -5 = 12 - 5
:. 2x = 7
:. X= 2
7
divide 2 from both side
X= 2x 7
2 2
:. X= 3.5
second method
2x = 12 - 5
2x = 7
X= 2 ÷ 7
:. X= 3.5
What is the vertex of the parabola represented by y = - x^2 + 6x – 5?
Answer: (3,4)
Step-by-step explanation:
A line includes the points (8,5) and (9, – 5). What is its equation in point-slope form?
Answer:
Step-by-step explanation:
slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{-5-5}{9-8}\\\\=\frac{-10}{1}\\\\=-10\\[/tex]
Point-slope form:
y - y1 = m(x - x1)
y - 5 = -10(x - 8)
Evaluate the expression when 24b + 8 gcf
Help me plssssss il give brainiest
Answer:
Part A: Venti
Part B: (Check the Step-by-step explanation)
Step-by-step explanation:
The unit rate for these drinks is ounce per $.
Tall: 12 oz/$3.55 ≈ 3.38 oz/$
Grande: 16 oz/$4.25 ≈ 3.76 oz/$
Venti: 20 oz/$4.55 ≈ $4.40/oz
Out of all of these, the unit rate for the Venti is the greatest.
Ella went to Crafting World Plus to buy fabric. She is trying to decide between polka-dot
fabric and striped fabric. It costs $15 to buy 4 yards of the polka-dot fabric.
)) This equation describes the cost of the striped fabric, where y represents the cost in
dollars and x represents the amount of fabric in yards:
y = 2.55x
)) Which type of fabric is cheaper?
the striped fabric
the polka-dot fabric
)) How much cheaper is that fabric?
cheaper per yard
What is the slope of the line that passes through the points (- 5, - 5) and (- 5, 5) ? Write your answer in simplest form .
Help!
There are _____
1. 140
2. 1,400
3. 14,000
4. 140,000
decigrams in 14 hectograms.
A rectangle with an area of 16 square units is drawn on a coordinate grid. The rectangle is
dilated by a scale factor of 1.5 with the origin as the center of dilation.
If (x, y) represents the location of any point on the original rectangle, which ordered pair
represents the coordinates of the corresponding point on the resulting rectangle?
A (16x, 16y)
B (16 + x, 16+y)
C (1.5x, 1.5y)
D (1.5 + x, 1.5 + y)
Answer:
Just multiply x and y by the scale factor
Step-by-step explanation:
The corresponding points on the resulting rectangle will be 1.5x and 1.5y. Hence, option C is correct.
What is the area?An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.
As per the data given in the question,
The area of the square is 16 square units.
Now, the scale factor is 1.5.
Then, the corresponding point at the x-axis will be 1.5x
Also, the corresponding point on the y-axis will be 1.5y.
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5 tenths - 2 tenths = 3 tenths in standard form
Answer:
5×10-2×10=3×10
50-20=30i think
In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth row
Answer:
26
Step-by-step explanation:
2 squares + 3 circles = 31. So, the sum of the squares is divisible by two, and the sum of the circles is divisible by 3. Then, I used trial and error to figure out that the square's value is five, and the circle's value is seven. 5 + 7 + 7 = 19. 27 - 19 = 8. The triangle's value is eight. 5 + 7 + 12 = 24. It works. 15 + 7 + 4 = 26
The sum of the shapes in the fourth row is 24 and this can be determined by using the arithmetic operations and by forming the linear equations.
Given :
In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given.
Let the symbol of the circle be denoted by 'x', square be denoted by 'y', and triangle be denoted by 'z'.
Now, the linear equations that represent the given diagrams are:
2y + 3x = 31 --- (1)
y + 2x + 3z = 27 --- (2)
3y + x + z = 24 --- (3)
Now, evaluate equation (1) for 'y'.
[tex]\rm y=\dfrac{31-3x}{2}[/tex] --- (4)
Now, substitute the value of y in equation (2).
[tex]\rm \dfrac{31-3x}{2}+2x+3z=27[/tex]
31 - 3x + 4x + 6z = 54
6z = 23 - x
[tex]\rm z = \dfrac{23-x}{6}[/tex] --- (5)
Now, substitute the value of 'y' and 'z' in equation (3).
[tex]3\times \dfrac{31-3x}{2}+x+\dfrac{23-x}{6}=24[/tex]
[tex]279-27x+6x+23-x=144[/tex]
158 = 22x
[tex]x = \dfrac{79}{11}[/tex]
Now, substitute the value of x in equations (4) and (5).
[tex]\rm z = \dfrac{23-\dfrac{79}{11}}{6}[/tex]
[tex]z = \dfrac{29}{11}[/tex]
[tex]\rm y=\dfrac{31-3\times \dfrac{79}{11}}{2}[/tex]
[tex]y=\dfrac{52}{11}[/tex]
The last equation is written in terms of x, y, and z as:
= 3y + x + w
Now, substitute the value of known terms in the above equation.
[tex]=3\times \dfrac{52}{11}+\dfrac{79}{11}+\dfrac{29}{11}[/tex]
[tex]=\dfrac{156+79+29}{11}[/tex]
= 24
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If you have the equation, y=2x+10 what’s x if y=24
Answer: x=7
24=2x+10
24-10=14
14=2x
14/2=7
The data set shows how many points mark scored in each basket ball game he played this seasons. 1,4,4,5,5,8,8,10,11,11,14,15,16
Answer:
Mean: 8.62
Median: 8
Step-by-step explanation:
I'm guessing that what you need is the mean or median so
1+4+4+5+5+8+8+10+11+11+14+15+16=112
112/13=8.62
Mean: 8.62
Median: 8
The average weight of 8 marbles is 3.5 g. What is the total weight of the marbles?
Answer:
Take 8÷3.5. So the answer is aprominently 2.29.
solve for m : -5m + 14 = 9
wdgsvwrshgsgcAnswer:
Step-by-step explanation:
sadgsd
what is cubed root of 27
Answer:
3 aaaaaaaaaaaaaaaaaa
Step-by-step explanation:
Santiago’s $2900 monthly budget is represented by the pie chart below. All amounts are in dollars.
What percentage of his monthly budget does Santiago spend on groceries?
A. 16%
B. 11%
C. 6%
D. 13%
Answer
11%
Explanations
Complete question
Doug's monthly budget is represented by the pie chart below. All amounts are
in dollars.
403
Monthly Budget
806
Car Expenses
Housing
Utilities
868
Groceries
496
Savings
Other
341
186
What percentage of his monthly budget does Doug put in savings?
O A. 13%
B. 6%
C. 11%
D. 16%
To get the percentage of his monthly budget does Doug put in savings, first we need to get the total savings
Total savings = 403+806+868+496+341+186
Total money = $3100
Amount spent on savings = $341
Percentage savings = amount spent on savings/Total money × 100%
Percentage savings = 341/3100 × 100
Percentage savings = 341/31
Percentage savings = 11%
Hence the percentage of the total money spent on savings is 11%
Area of a parallelogram = b•h
What is the base of a parallelogram with an area of 48 and a height of 6?
Answer:
area of parallelogram =b×h
48cm²=b×6cm
48cm²/6cm=b
8cm=cm
The perimeter of the parallelogram below is 32.2. What equation would you set up to solve for ? What is the value of x? Select two answer and round to the nearest tenth if necessary.
Answer:
B and FStep-by-step explanation:
Perimeter formula
P = 2(a + b)Option B is correct for the equation
3x - 8 + 16 + 3x - 8 + 16 = 32.26x + 16 = 32.26x = 16.2x = 16.2/6x = 2.7Option F is correct for the value of x
Earth is 92.96 million miles from the su orbits the sun in about 365, 26 days traveling at an average speed of 18.51 miles per secondHow far does Earth travel in minute(60 seconds)
Answer:
multiply the time and speed the divide the distance with the value of a minute.
Step-by-step explanation:
365 x 26 x 18.52 = 175,754.8 divided by 60 = 2,929.246666666667
simplify into 2,929.2
Choose the correct simplification of (7x^3 – 4x - 8) + (2x^3 + 3x + 2).
Answer:
9[tex]x^{3}[/tex]-x-6
Step-by-step explanation:
Answer:
=9x3−x−6
Step-by-step explanation:
7x3−4x−8+2x3+3x+2
pls help asap
An administrative assistant can type 100 words in 90 seconds. What is the assistants rate of typing in word per minute
Take a lot at the picture.
Answer:
Height: [tex]10\sqrt{6}[/tex]
Length: [tex]5\sqrt{6}[/tex]
Step-by-step explanation:
what is the equivalent ratio of 2 over 9?
Answer:
4/18, 6/27, 8/36, 10/45, 12/54, 14/63, 16/72, 18/81, 20/90, 22/99 and many more
Step-by-step explanation:
Hope this helpss!!
Graph the inequality of x<0
The graph is shown below.
We use an open dot at zero because x is only less than 0,
it's not less than or equal to 0.
So we have an open dot at 0 going to the left.
