In ΔFGH, f = 60 cm, g = 10 cm and h=62 cm. Find the measure of ∠F to the nearest degree.
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.
Learn more about the law of cosine here;
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Does this expression represent the sum 13.76 + 2.8?
1 ten + 6 ones + 5 tenths + 6 hundredths
Answer:
True
Step-by-step explanation:
it all equals the same
Answer:
yes
Step-by-step explanation:
yes
Find the number that makes the ratio equivalent to 11:1.
?:4
Answer:
The unknown is 44
Step-by-step explanation:
We need to solve for x in the proportion given by :
11 / 1 = x / 4
multiply both sides by 4 to isolate x
11 * 4 / 1 = x
x = 44
HELP ME PLZ SURFACE AREA OF A RAMP
Answer:
i think it 37 square feet
can someone help me solve these two problems? i need to find what x is.
Answer:
1. x=2
2. x= 0.33
Step-by-step explanation:
1.So to start off you have a coefficient for 2 so you have to find what 2 to the power of 2 is =4 so then you have your new problem 4x+5=13 next you need to get 4x by itself so
-5 -5
then you have 4x=8. you divide by 4 on both sides
4. 4
so then you get x=2
2.So same here find what 3 to the power of 2 is =9
New equation 4x-1=9x+4x-4. Then combine like terms on the right you cant do it on the left because that is a separate part and those dont merge like terms so
9x+4x = 13x
new equation. 4x-1=13x-4
next subtract 4x on both sides
13x-4x=9x
new equation. -1=9x-4
next add 4 to both sides
-1+4= 3
new equation. 3=9x
so then divide 9 on both sides
3÷9= 0.33
x= 0.33
Hope this made sense and helps
A jar with 13 marbles, 2 are red, 1 green, the rest blue.
P(blue) =
Which expression is equivalent to 15x + 3?
A. 15(1x + 1)
B. 5(3x + 1)
C. 3(5x + 1)
D. 2(15x + 3)
Answer:
C
Step-by-step explanation:
3(5x + 1) | Given
15x + 3 | Multiply each term on the inside by the number on the outside of the parenthesis (3). This is called distributing.
A function of x containing four ordered pairs of the form (x, y) is shown below.
у
3
0
5
2
7
4
9
6
What is the range of the function?
A {3, 2, 4, 6}
B {0, 3, 5, 7}
C {0, 2, 4, 6}
D {3, 5, 7, 9}
Please help with this
9514 1404 393
Answer:
153 square units
Step-by-step explanation:
The figure is drawn in the attachment with some lengths and points labeled.
The figure can be considered to have an area that is the sum of the areas of rectangle ABFE and triangle FGH, with the area of triangle BCD subtracted.
That area is ...
A = area(ABFE) +area(FGH) -area(BCD)
= (15)(9) +(1/2)(9)(6) -(1/2)(6)(3)
= 135 +27 -9 = 153 . . . square units
{-(-3)x12x(4 - 68 -- 4)} + (2 – 1)
Answer:
numbers dont do into math please move this to English
Step-by-step explanation:
it posted worng
What is 45.56 rounded to the tenths place?
Answer:
45.6
Step-by-step explanation:
Answer:
45.6
Step-by-step explanation:
6 is greater than 5 so it rounds up
6. A basketball team averaged 105 points per
game. How many points did the team score
ed
Bernd Melman Alamy
in 6 games?
A Arrange the following integers in ascending order
1) 37, 41, 76, -2.25 -25
Answer:
ASCENDING ORDER
76,41,36,25,-2,-25
Answer:
1234567891011121314151617181920
Can someone help me with this?
Answer:
B
Step-by-step explanation:
HELP! WILL GIVE BRANLIEST!
Answer:
0
Step-by-step explanation:
There is no slope, but a no slope line is vertical. Therefore making this a zero slope. I hope this helps :)
Answer:
No slope
Step-by-step explanation:
there is no slope because its a flat line, a slope would be an uneven line, or a diagonal
4x+3y=2
2x+y=6
substitution
Answer:
(8,-10)
Step-by-step explanation:
4x+3y=2
2x+y=6--->y=-2x+6
4x+3(-2x+6)=2
4x-6x+18=2
-2x=-16
x=8
4(8)+3y=2
32+3y=2
3y=-30
y=-10
Answer:
x=8 y=-26/3
Step-by-step explanation:
2x+y=6
2x=6-y
2x-6=-y
-2x+6=y
4x+3(-2x+6)=2
4x-6x+18=2
4x-6x+16=0
-2x+16=0
-2(x-8)=0
x-8=0
x=8
4(8)+3y=6
32+3y=6
26+3y=0
3y=-26
y=-26/3
Select all expressions that are equivalent to -4(x+2)-2x+4
-6x-4 is the expression which is equivalent to -4(x+2)-2x+4
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is -4(x+2)-2x+4
Minus four times of x plus two minus two times of x plus four
x is the variable
Plus and minus are operators
We have to find the equivalent expression of -4(x+2)-2x+4
Apply the distributive property
-4x-8-2x+4
Combine the like terms
-6x-4
Hence, -6x-4 is the expression which is equivalent to -4(x+2)-2x+4
To learn more on Expressions click:
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On a circle graph, a section that represents 80% of the graph has a central angle measure of 288º.
True
False
6. Which of the following is equivalent to (17m + 3) + (3m - 1)?
A. 14m + 2
B. 14m + 4
C. 20m + 2
D. 20m +4
Answer:
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
C
Item 20 Two groups leave on different flights from the same airport. Group A flies 130 miles due west, then turns 24° toward north and flies 45 miles. Group B flies 130 miles due north, then turns 32° toward east and flies 45 miles. Which group is farther from the airport?
Answer:
Group A
Step-by-step explanation:
Since in total they moved the same amount of miles then the one with the least turnback (angle in this case) would be farther
Round 199,609 to the nearest thousand.
Answer:
200,000
Step-by-step explanation:
have a good day! ;-)
Answer:
199,609,000
Step-by-step explanation:
Hope this helps!!!help me guys. NO spam or report
Answer:
Take the root of both sides and solve.
Exact Form:
A =[tex]\sqrt[3]{50}[/tex]
Step-by-step explanation:
y2-4y+4/(2-6y) x (2y+4)/(3y2-12)
Answer:
what is the question? please ask a question.
what does x equal 7(2x+5)=4x -9 -x
PLEASEEEE HELPPPP ME
Answer: x=-4
Step-by-step explanation:
Given
7(2x+5)=4x-9-x
Expand parenthesis
14x+35=4x-9-x
Combine like terms
14x+35=3x-9
Subtract 35 on both sides
14x+35-35=3x-9-35
14x=3x-44
Subtract 3x on both sides
14x-3x=3x-44-3x
11x=-44
Divide 11 on both sides
11x/11=-44/11
x=-4
Hope this helps!! :)
Please let me know if you have any questions
$1900 at 9 for 2 years
Answer:
$342
Step-by-step explanation:
Complete question
Find the simple interest on $1900 at 9% for 2 years.
Simple interest PRT/100
Given
Principal P = 1900
Rate R = 9%
Time T = 2years
Substitute
Simple interest = 1900*9*2/100
Simple interest = 19*18
Simple interest = $342
Hence the simple interest on $1900 at 9% for 2 years is $342
Use the figure below to answer the questions.
Suzie is measuring furniture for her bedroom. She does not have a tape measure or a ruler. Instead, she uses her book. She knows that the length of her book is 8 inches.
Answer:
book x 8
Step-by-step explanation:
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
Answer:
26
Step-by-step explanation:
i did it i got it correct!!!
solve for f(-1), f(x)=-3+3, f(-1)=?
Answer:
0
Step-by-step explanation:
Which ordered pair is a solution of the inequality y<3x+1?
A) (-3,-2)
B) (3,14)
C) (1,-3)
D) (1,6)
Answer:
c) (1,-3)
Step-by-step explanation:
-3<3(1)+1
-3<3+1
-3<4