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
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?
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?
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.
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]
if four times the sum of a number and three is six less than twice the number what is the number
- True or False: When you multiply fractions, you need common denominators.
True
False
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.
Evaluate √ 20.
A: 4. 47
B: 4
C: 5
D: 10
Answer:
It would be A. 4.47
PLEASE ANSWER QUICKLY
What is 4x3x4x9 squared
Answer:
186,624 I think
Step-by-step explanation:
4*3=12
12*4=48
48*9=432
[tex]432^{2}[/tex]= 186,624!
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
Answer:
x=123456789101112131415
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?
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
What's the surface area for all these??
Answer:
the surface area of the square is "378"
Step-by-step explanation:
2×(9×9 + 9×6 + 9×6) = 378
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
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)
please help important I need now
Answer:
14 cm
The correct answer is B
FIND ANGLE ADB
the number is 116 on top
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...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
Those inside the parentheses. Rember pemdas or Parentheses Exponets Multiple Divide Add Subtract in that order from left to right
5b^2+39b=8 please solve and explain why
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
What is the area in square centimeters of the triangle below?
Answer:
45cm2
Step-by-step explanation:
10x7(base x height)=70
70/2=45
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.
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
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.
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
Determine algebraically the equation of the line passing through the points (0, -5) and (4, -9)
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
I would really appreciate answer i only have 30 more minutes please :(
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
A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle
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
If x= -2, then what’s
4+x
——
3x
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...
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?
Answer:
3:42
Step-by-step explanation:
Is this a Pythagorean triplet ?
12,5,13
Subtract 7 from the product 3 times f
Answer:
3f-7
Step-by-step explanation:
The volume of a sphere of radius 3 cm is
(A)
9x cm
(B)
18.t cm
(C)
27 cm
(D)
36 cm
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.
Find surface area of right cone with diameter of 12 meters and a slant height of 9 meters
HELLPPPP MEEE NEEDD HELP ¶∆¶
Find the RATIO and the EXACT VALUE of the given Cos B.
=================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(B) = BC/AB
cos(B) = 5/13
Trigonometry help please! Show work thank you !
Answer:
Step-by-step explanation: