Answers
Answer:
m<F = 44°
length of FH = 15
length of GF = 21
Perimeter of ∆FGH = 50
Step-by-step explanation:
✔️Find m<F using the sum of triangle theorem:
The small box indicates angle 90°. Sum of a triangle is 180°. Therefore,
m<F = 180° - (90° + 46°)
m<F = 180° - 136°
m<F = 44°
✔️Find FH using trigonometric function:
Reference angle = 46°
Length of Opposite side = FH = ?
Length of Adjacent side = GH = 14
Apply TOA because we are concerned with the OPP and ADJ sides:
Tan 46° = Opp/Adj
Tan 46° = FH/14
14*Tan 46° = FH
14.4974243 = FH
FH = 15 (approximated to nearest whole number)
✔️Find GH by applying either a trigonometric function or just simply apply pythagorean theorem:
Pythagorean theorem is given as,
c² = a² + b²
c is the longest side (hypotenuse) = GF = ?
a = GH = 14
b = FH = 15
Thus:
GF² = 14² + 15²
GF² = 421
GF = √421
GF ≈ 21 (nearest while number)
✔️Perimeter of ∆FGH = GH + GF + FH
= 14 + 21 + 15
= 50
Related Questions
Subtract 7 from the product 3 times f
Answers
Answer:
3f-7
Step-by-step explanation:
Nine chips numbered 1 through 9 are placed in a box and mixed. Margie selected one chip from the box. What is the probability that Margie selected a chip that is a multiple of three?
Answers
Answer: [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given
There are 9 chips numbered 1 to 9 placed in a box
Margie selected one chip from the box
If the chip is multiple of 3 then the chip can be 3, 6, or 9
So, the probability associated with this is
[tex]\Rightarrow P=\dfrac{\text{favorable}}{\text{Total}}\\\\\Rightarrow P=\dfrac{3}{9}\\\\\Rightarrow P=\dfrac{1}{3}[/tex]
the figure below. help me please
Answers
please help important I need now
Answers
3+3+4+4= 14
6+6+2+2=14
12+12+1+1=26
Answer:
14 cm
The correct answer is B
can someone PLEASE HELP ME?? i have to redo some answers on my test and i have no clue what to do!
i would really appreciate your help!
A robin was sitting 9 feet from the base of a tree. The robin flew 41 feet to the top of the tree. The tree is ___ feet tall.
Hint: Draw and label a diagram.
Answers
Answer:
41 ft
Step-by-step explanation:
Since that's the height the Robin flew to.
Answer:
its either 41 feet or 50 feet or neither cause im dum.b
Step-by-step explanation:
41 feet explanation = the bird was on the ground and was 9 feet away from the tree so the bird moved 9 feet ON THE GROUND and then flew up 41 feet
50 feet explanation = the bird was on a branch 9 feet up from the tree base and flew the rest of the 41 feet
Clare's volleyball game ended at 6:30 pm. It took 2 hours and 48 minutes to play the game. What time did Clare's volleyball game begin?
what is 6:30 subtracted by 2 hours and 48 minutes?
Answers
Answer:
3:42
Step-by-step explanation:
Is this a Pythagorean triplet ?
12,5,13
Answers
I would really appreciate answer i only have 30 more minutes please :(
Answers
Answer:
Q4) 23
Q5) 18
Q6) 15
Step-by-step explanation:
Q6) In the given Stem and Leaf Plot, we have, the average weights as follows;
0.1, 0.1, 0.1, 0.2, 0.2, 0.3, 0.4, 0.4, 0.5, 1, 1, 1.2, 1.3, 1.7, 2.2
By counting the number of data given above, n = 15
Q5) The given data in the stem and leaf diagram are;
7, 9, 14, 15, 16, 18, 18, 21, 23, 30
The median of the 10 data points is the (10 + 1)/2 or the 5.5th data point
The fifth data point = 18
The sixth dat point = 18,
Therefore, the median, which is the 5.5th data point = 18 + (18 - 18)/2 = 18
The median = 18
Q4) The given data points are;
7, 9, 14, 15, 16, 18, 18, 21, 23, 30
The range = The largest data point value - The least data point value
Therefore;
The range = 30 - 7 = 23
The range = 23
please answer these questions. only use the power of one to solve it. if u answer it right il give brainlest and ill make another question which u can get 50 points for free. pls answer no links or random answers.
Answers
Answer:
9a) 6 1/5
b) 6 4/7
c) 1 1/0
d) 4 1/8
e) 1 1/3
f) 3 1/6
10a) 15 years old
b) 14 1/6 years old
11) 8/3 = 2 2/3
7/5 = 1 2/5
2 2/3 + 1 2/5 = 4 1/15
12a) They ate 3 11/12 pizzas
b) They ate 1 1/3 more cheese pizzas than veg
if four times the sum of a number and three is six less than twice the number what is the number
Answers
Explanation:
Let the number be x
4(x + 3) = 2x - 6
4x + 12 = 2x - 6
4x - 2x = - 6 - 12
2x = -18
x = -9
Evaluate √ 20.
A: 4. 47
B: 4
C: 5
D: 10
Answers
Answer:
It would be A. 4.47
The volume of a sphere of radius 3 cm is
(A)
9x cm
(B)
18.t cm
(C)
27 cm
(D)
36 cm
Answers
Answer:
3^3 = 27
27 * 3.14 = 84.78
84.78 * 4/3 = 113.04 is your answer.
Formula of volume of sphere is:
4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)
You get your radius by finding out what is half of your diameter or your given radius.
If x= -2, then what’s
4+x
——
3x
Answers
Answer:
a). 2 b). -6
Step-by-step explanation:
4+x
4 + (-2)
= 2
3x
= 3(-2)
= - 6
Answer:
Exact Form: [tex]-\frac{1}{3}[/tex]
Decimal Form: -0.333...
What is 4x3x4x9 squared
Answers
Answer:
186,624 I think
Step-by-step explanation:
4*3=12
12*4=48
48*9=432
[tex]432^{2}[/tex]= 186,624!
Trigonometry help please! Show work thank you !
Answers
Answer:
Step-by-step explanation:
What are the solutions to the following quadratic equation? *
1 point
Captionless Image
x = –8 and x = –7
x = 7 and x = 8
x = –7 and x = –1
Answers
Answer:
x=123456789101112131415
Step-by-step explanation:
- True or False: When you multiply fractions, you need common denominators.
True
False
Answers
Answer: true
Step-by-step explanation:
Answer:
Multiplication of fractions do not require the same denominator, or the bottom number of the fraction, like addition and subtraction does. Instead, you would simply multiply the denominators and the top numerators.
Find surface area of right cone with diameter of 12 meters and a slant height of 9 meters
Answers
Find the probability of drawing either a Queen or a Heart from a standard deck of cards.
A) 0
B)17/52
C) 1/4
D)4/13
Answers
Answer:
17/52 (Answer B)
Step-by-step explanation:
There are four queens and 13 hearts. The probability of drawing a Queen is thus 4/52 (= 1/13); that of drawing a Heart is 13/52 (= 1/4).
The probability of drawing either is 1/13 + 1/4, or 4/52 + 13/52, or 17/52 (Answer B)
FIND ANGLE ADB
the number is 116 on top
Answers
Answer:
[tex]m\angle ADB=58^{\circ}[/tex]
Step-by-step explanation:
For an angle with a point on the circle, the measure of that angle is equal to half the measure of the arc it forms. Since angle ADB forms an arc AB that measures [tex]116^{\circ}[/tex], the measure of angle ADB equals [tex]\frac{116}{2}=\boxed{58^{\circ}}[/tex]
Step-by-step explanation:
ADB=116/2(inscribed angle is half of it's arc)
58°stay safe healthy and happy...PLEASE ANSWER QUICKLY
Answers
Determine algebraically the equation of the line passing through the points (0, -5) and (4, -9)
Answers
Answer:
y = -1x -5
Step-by-step explanation:
y2 - y1 / x2 - x1
-9 - (-5) / 4 - 0
-4 / 4
-1
y = -1x + b
-5 = -1(0) + b
-5 = 0 + b
b = -5
y = -1x -5
A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle
Answers
Answer:
9 cm
Step-by-step explanation:
Arc length = θ/360 × 2πr
A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle
Hence,
3π = 120/360 × 2πr
Diameter = 2r
3π = 1/3 × 2πr
Cross Multiply
9π = 2πr
2r = 9π/π
Note that :
Diameter = 2r
Hence,
Diameter = 9 cm
5b^2+39b=8 please solve and explain why
Answers
Step-by-step explanation:
5b²+39b=8
<=> 5b²+39b-8=0
(5b-1)(b+8)=0
b = ¹/5 or b = -8
b=-8 and b=1/5.
Answer:
Solution given:
5b²+39b=8
5b²+39b-8=0
try to do middle term factorization.
it needs 40 while multiplication and 39 when subtraction.
it is 40-1 and 40*1
now
doing middle term factorization
5b²+(40-1)b-8=0
5b²+40-b-8=0
take common from each 2 term
5b(b+8)-1(b+8)=0
again take common and keep remaining in another brackets
(b+8)(5b-1)=0
either
b=-8
or
b=1/5
The young mathematician is presented with this problem: (13 + 7) x (5 - 3) / 4 x (1 + 1) = Which operation would the young mathematician do first?
The division
The subtraction
Those inside parentheses
The multiplication
Answers
Those inside the parentheses. Rember pemdas or Parentheses Exponets Multiple Divide Add Subtract in that order from left to right
A cone has a height of 10 millimeters and a radius of 6 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:[tex]376.80\ mm^3[/tex]
Step-by-step explanation:
Given
The height of the cone is [tex]h=10\ mm[/tex]
The radius of the cone is [tex]r=6\ mm[/tex]
Volume of cone is given by
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Insert the values
[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 6^2\times 10\\\\\Rightarrow V=376.80\ mm^3[/tex]
Thus, the volume of the cone is [tex]376.80\ mm^3[/tex]
HELLPPPP MEEE NEEDD HELP ¶∆¶
Find the RATIO and the EXACT VALUE of the given Cos B.
Answers
=================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(B) = BC/AB
cos(B) = 5/13
What is the area in square centimeters of the triangle below?
Answers
Answer:
45cm2
Step-by-step explanation:
10x7(base x height)=70
70/2=45
WILL MARK BRAINLIEST!!!
Jamie is going on a trip to visit her grandparents. The airline allows each suitcase to hold 50 pounds. She has already packed clothes and other things that weigh a total of 26 pounds. The inequality p + 26 ≤ 50 can be used to see how much more she can pack in the suitcase.
Why is this problem written as an inequality instead of an equation?
Answers
Answer:
Because the airline allows each suitcase to hold up to 50 pounds, and it doesn't force them to hold exactly 50 pounds
Answer:
Step-by-step explanation:
b/c she doesn't have to have exactly 50 pounds, she can have any were from 0 to 50 pounds in each suit case. They are not going to charge her more, if she only brings 49 pounds :DDDD It's the same charge up to and including 50 pounds. If she brings 51 pounds then maybe she would get charged more :P But not for 50 pounds or less . :) Make sense?
What's the surface area for all these??
Answers
Answer:
the surface area of the square is "378"
Step-by-step explanation:
2×(9×9 + 9×6 + 9×6) = 378