Find the length of the unknown leg of the right triangle. Use pencil and paper.
Draw the triangle on graph paper and measure to verify the answer.
Answers
Answer:
15Step-by-step explanation:
Use Pythagorean:
x² + 2.75² = 15.25²x² = 15.25² - 2.75²x² = 225x = √225x = 15Step-by-step explanation:
Perpendicular=p=2.75Hypotenuse=h=15.25we know that
[tex] \boxed{ \sf \: h {}^{2} = {p}^{2} + {b}^{2} } \\ \rm \mapsto \: {(15.25)}^{2} = {(2.75)}^{2} + {b}^{2} \\ \rm \mapsto \: {b} {}^{2} = {(15.75)}^{2} - {(2.75)}^{2} \\ \rm \mapsto \: b = \sqrt{ {(15.25)}^{2} - {(2.75)}^{2} } \\ \rm \mapsto \: b = \sqrt{232.5 - 7.5} \\ \rm \mapsto \: b = \sqrt{225.5} = 15.07=15(approx)[/tex]
Related Questions
Carter's checking account had a balance
of --$12.75. He deposited a check for
$22.40 into his account. What is Carter's
account balance now?
A -$35.15
B. -$9.65
C. $9.65
D. $35.15
Answers
Answer:
A or D is tge correct awnser
Determine the component form of the vector which has a magnitude of 30 & a direction of 116 degrees.
Answers
Given :
Magnitude of vector is 30 units.
Direction of vector from x-axis is 116°.
To Find :
The component form of the vector.
Solution :
We know, vector in component form is given by :
[tex]\vec{v} = (Acos\ \theta) \hat{i} + (Asin\ \theta)\hat{j}[/tex]
Putting given values,
[tex]\vec{v} = (30\times cos\ 116^o) \hat{i} + (30\times sin\ 116^o)\hat{j}\\\\\vec{v} = -13.15 \hat{i} + 0.90 \hat{j}[/tex]
Hence, this is the required solution.
Find the area of a circle with a diameter of 36 mm. Use 3.14 for
area: about
2
mm
Answers
Answer:
Area = 4073.1429 mm²
Step-by-step explanation:
Input Data :
Radius = 36 mm
Objective :
Find the area of the circle.
Solution :
Area = πr2
= 3.14 x (36)2
= 3.14 x (1296)
Area = 4073.1429 mm²
The sphere has a radius of 12 meters, What is the volume of the sphere
Answers
[tex]\Large{\underline{\mathcal{Given: }}}[/tex]
radius = 12m
volume = ❓
[tex]\Large{\underline{\mathcal{solution :}}}[/tex]
volume of a sphere:
☞4/3 πr³ cu.units
☞4/3 × 22/7 × 12 × 12 × 12
☞ 7214 m³
PLEASE HELP QUICK!! I need help with the first problem
Answers
Answer:
I need help too it's so hard
To approach the runway, a pilot of a small plane must begin at 6 degrees,descent starting from a height of 1905 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach
Answers
Answer:
C. 3.5 mi
Step-by-step explanation:
Reference angle = angle of elevation
Angle of elevation = angle of depression = 6° (alternate angle theorem)
Hypotenuse = x
Opposite = 1905 ft
Apply trigonometric function SOH:
Sin 6° = Opp/Hyp
Sin 6° = 1905/x
x * Sin 6° = 1905
x = 1905/Sin 6°
x = 18,224.7 ft
Convert form feet to miles
1 mi = 5,280 ft
Therefore,
18,224.7 = 18,224.7/5,280
= 3.45164773 mi
≈ 3.5 mi (nearest mile)
4x^2-16=x^2+32
Using reverse PEMDAS
Answers
Answer:
x = ±4 (x = 4 and x = -4)
Step-by-step explanation:
4x²-16 = x²+32
3x²-16 = 32
3x² = 48
x² = 16
x = ±4
Therefore, x = 4 and x = -4
PLEASE HELPP I HAVE A TIMER. which equation represents the graphed function?
a.y=4x-2
b.y=-4x-2
c.y=1/4x-2
d.-1/4x-2
Answers
Answer:
C. y = 1/4x -2
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
PLS HELP! find the area and round to the nearest tenth
Answers
Given:
A regular hexagon with side 11.5 units and apothem 10 units.
To find:
The area round to the nearest tenth.
Solution:
Area of a regular polygon is:
[tex]A=\dfrac{1}{2}Pa[/tex] ...(i)
Where, P is the perimeter and a is the apothem.
The given figure is a regular hexagon with six sides. So, the perimeter of the given figure is the product of number of sides and the side length.
[tex]P=6\times 11.5[/tex]
[tex]P=69[/tex]
Putting [tex]P=69,a=10[/tex], we get
[tex]A=\dfrac{1}{2}(69)(10)[/tex]
[tex]A=(69)(5)[/tex]
[tex]A=345 [/tex]
Therefore, the area of the regular polygon is 345.0 square units.
A parallelogram always have four right angles*
A. True
B. False
Answers
And opposites sides are congruent
Anderson won $10000 in a Lotto competition.
He banked, then he gave his wife 60% of the remainder.
He then shared what was left between his two sons Jimmy and Prince, giving Jimmy three
times as much as Prince. Calculate Jimmy's share.
Answers
Answer:
jimmy got 30,000
Step-by-step explanation:
10,000
the wife got 60% = 60,000
jimmy got 3x prince = 30,000
prince = 10,000
Each Saturday, a store reduces the price of any unsold
item by 10%. If an item was priced at $80, on Saturday
of the first week it is marked down to $72. At the end of
the second week, it drops to $64.80, and at the end of
the third week the price is decreased to $58.32. If this
continues for 10 weeks, what should be the selling
price for an item that was originally priced at $80?
Answers
Answer: $27.89
Step-by-step explanation:
Since the price decreases every week by 10%, its is basically being marked down to 90% of its original value. We can construct an equation for this, where we have our original value, multiply by a modifier, and raise the modifier to a power equal to the number of weeks it is on sale. Since the original price was $80, that will be 80. Since it is 10% off, we will multiply by 0.9, and since its ten weeks, we will raise the 0.9 to the power of 10.
Thus, 80×0.9^10 = 27.89
Find the value of x.
101 x +29
Answers
Answer:
x = 50
Step-by-step explanation:
101 + (x + 29) = 180
130 + x = 180
x = 180 - 130
x = 50
Answer:
50°
Step-by-step explanation:
in order ro find x you would need to solve for 101° ( x + 29) = 180° if you replace x with 50 then you equation would be true!
A recipe that serves 4 people uses 3 onions. How many onions are needed to serve 20 people?
Answers
Answer:
15 onions are required.
−10(9c−7c+8)−8c
pls help
Answers
I need help with geometry
Answers
6x-1=23
+1 +1
6x=24
X=4
Answer:
B. x = 4
Step-by-step explanation:
The two triangles have two congruent sides and a congruent angle. You can say ΔBAC ≅ ΔEDF because of SAS. Corresponding parts of congruent triangles are congruent, so you can say:
BC = EF
And we can substitute their values:
6x - 1 = 23
6x = 24
x = 4
Find the volume of the following figure using unit cubes.
Answers
Answer:
64 units³Step-by-step explanation:
2 units × 4 units × 8 units = 64 units³
hello please help i’ll give brainliest
Answers
Answer:
C i think
Step-by-step explanation:
Once an action is caused, a reaction immediatley happens
hii! help asap. i’ll give brainliest thanks!
Answers
Answer:
B
Step-by-step explanation:
Answer:
It's acceleration will change
Step-by-step explanation:
The question states that only the force on the object increased, that will cause it to go alot faster than before due to the increase in force.
ASAP!!!!!!!!!!!!!!!!
Answers
WILL MARK BRAINLIEST HELP ASAP ASAP
Answers
Answer:
Step-by-step explanation:
A
Johnny wants to know how many students in his school enjoy watching science programs on TV. He poses this question to all 26 students in his science class and finds that 75% of his classmates enjoy watching science programs on TV. He claims that 75% of the school's student population would be expected to enjoy watching science programs on TV. Is Johnny making a valid inference about this population? (5 points)
a
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
b
Yes, it is a valid inference because he asked all 26 students in his science class
c
No, it is not a valid inference because he asked all 26 students in his science class instead of taking a sample from his math class
d
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
Answers
Answer: d. No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
Step-by-step explanation: this i because there is a possible bias present in his population
Hope this helps!
A dice is rolled. What is the probability that a 4 is rolled?
A) 1/2
B) 1/3
C) 2/3
D 1/6
This is for my high school final exam so please answer fast
Answers
Answer:
I think 1/6
Step-by-step explanation:
There are 6 sides on a dice and only one 4. So then you have a 1/6 chance of rolling 4.
hope this help!
Answer:
1/6
Step-by-step explanation:
There are 6 numbers on a die 1,2,3,4,5, and 6. If one number was picked out it would be 1/6
1/2a - 4
Pls help
Meeeeee
Eeeeeeee
Answers
Add 4 to both sides.
1/2a = 4
Divide both sides by 1/2.
a = 8
Can someone please explain how to go the answers for this
Answers
Answer:
A=3, B=4, C=-5
Step-by-step explanation:
So A represents the amplitude, which is the distance between the midline (C), the middle of the graph, and the maximum (or minimum). B is the distance of the period of the graph. In this case, we see that the midline is C=-5 because that is the halfway point of the sine function. We also see that the period distance is B=5-1=4, so our period would be 2π/4 or π/2. Our amplitude would be A=3 because |a|=|-5-(-2)|=|-5+2|=|-3|=3. Observe the graph to see this visually.
Find X, AB, BC, and AC if ABC is equilateral.
X =
AB =
BC =
AC =
Answers
AB=-37
BC=73
AC=-49
I pretty sure
Devante buys 1/1/4 pounds of cashews 7 ounces of almonds and 3/4 pounds of pecans how much do the nuts weight in
Answers
Answer: [tex]39\ \text{Ounces}[/tex]
Step-by-step explanation:
Given
The amount of cashews is [tex]1\frac{1}{4}\ \text{Pounds}[/tex]
Amount of almonds [tex]7\ \text{ounces}[/tex]
The amount of pecans is [tex]\frac{3}{4}\ \text{Pounds}[/tex]
We know, [tex]1\ \text{Pound}=16\ \text{Ounces}[/tex]
Converting pounds to ounces and adding them
[tex]\Rightarrow 1\dfrac{1}{4}\times 16+7+\dfrac{3}{4}\times 16\\\\\Rightarrow \dfrac{5}{4}\times 16+7+3\times 4\\\\\Rightarrow 20+7+12=39\ \text{ounces}\ or\ \dfrac{39}{16}\ \text{Pounds}[/tex]
Thus, the nuts weigh [tex]39\ \text{Ounces}[/tex]
A survey found that 60% of highschool freshmen have Internet access at home. Of the 750 freshmen at one high school, about how many would be expected to have Internet access at home?
Answers
Answer:
450 freshman would have internet access
Answer:
450
Step-by-step explanation:
750 student is 100% of highschool freshman so
let x be how may would be expected
x/750=60%/100%
750*60=100*x
45000=100x
x=450
simplify the expression - 1/2 (- 5/6 + 1/3)
Answers
Answer: 1/4
Step-by-step explanation:
Answer:
1/4 would be your answer.
Step-by-step explanation:
Hope this helps!, and if this Is wrong someone correct me.
Find the size of the angle 3x.
3x=
Answers
Answer:
60 degrees
Step-by-step explanation:
a straight line is 180 degrees
2x= 120 degrees
x=60 degrees
Answer:
The value of x is 60°
Step-by-step explanation:
For a given Straight Line
We know that, The straight angle is an angle equal to 180°
So,
3x = 180
Divide by 3 from both side
3x/3 = 180/3
x = 60°
Thus, The value of x is 60°
-TheUnknownScientist