A ship is sighted from the top of a lighthouse. The angle of depression from the lighthouse to the ship is 45degrees. The distance from the top of the lighthouse directly to the ship is 4miles.Calculate the horizontal distance of the ship from the bottom of the lighthouse
Answer:
[tex]2\sqrt{2} \text{ mi}[/tex]
Step-by-step explanation:
See the attached image for a picture of the situation. The angle of depression lets you find the angle next to it but inside the triangle. It, too, must measure 45 degrees.
That means the triangle is an isosceles triangle (two legs of equal length).
Apply the Pythagorean Theorem.
[tex]x^2+x^2=4^2\\2x^2=16\\x^2=18\\x=\sqrt{8}=2\sqrt{2}\approx 2.83\text{ mi}[/tex]
please help me quick will give any award
help me out please !!!!
Answer:
0.06 liters
Step-by-step explanation:
acid concentration of 65% means that it of 100 units of that solution 65 are acid, and the remaining 35 are water.
so, 100 units are 0.2 liters in this example.
that means that 65/100 × 0.2 = 0.13 liters are acid.
35/100 × 0.2 = 0.07 liters are water
we get a 50% concentration, when we have the same amount of water and acid in the solution (acid is only half of 50% of the solution).
the account of acid remains the same, as we are only adding water.
so, how much water do we need to get from 0.07 liters to 0.13 liters (the same as the already present acid) ?
0.13 - 0.07 = 0.06 liters
find the slope for me please (2, -5) (7, -5)
Answer:
slope=y2-y1/x2-x1
=-5+5/7-2
=0/5
=0
Step-by-step explanation:
Hlw Gøød Mørnîng.....Plz guys solve this immediately......
Answer:
The remainder is 7
Step-by-step explanation:
What we have to do here is to set g(x) to zero and solve for x
The value of x is then substituted into the polynomial p(x)
we have this as follows;
x-1 = 0
x = 1
P(1) = 1^3 -6(1)^2 + 9(1) + 3
P(1) = 1 - 6 + 9 + 3
P(1) = 7
This value is the remainder
Two square pyramids are similar.
The sides of the bases are 4 cm and
12 cm. The height of the smaller
pyramid is 6 cm. Find the height of
the larger pyramid.
Answer:
18 cm
Step-by-step explanation:
Since the pyramids are similar then the ratio of corresponding sides are equal, that is
12 ÷ 4 = 3
Then the height of the larger pyramid is 3 times the height of the smaller.
height of larger pyramid = 3 × 6 = 18 cm
May you help me with this❤️
Answer:
9.50x+130 > 700
Step-by-step explanation:
Answer:
9.50x+130> 700 I believe is the right answer.
Step-by-step explanation:
You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.
x equals how may hours
9.50x + 130 > 700
An amusement park has two featured rides that require an additional ticket, the Slingshot and the Scream Flyer. On a summer day, 1279 visitors entered the park. 280 visitors bought tickets for either the Slingshot or the Scream Flyer. 247 visitors bought a ticket for the Slingshot and 237 visitors bought a ticket for the Scream Flyer. What is the probability that a randomly selected visitor bought tickets for both the Slingshot and the Scream Flyer
Answer: [tex]\frac{204}{1279}[/tex]
Step-by-step explanation:
Formula for intersection:
n(A and B) = n(A)+n(B)-n(A or B)
Given: n(Slingshot) = 247
n(Scream Flyer)= 237
n(Slingshot or the Scream Flyer) = 280
n (Slingshot and Scream Flyer)= 247+237-280
=204
Probability of any event = [tex]\frac{\text{Number of favourable outcomes}}{\text{total outcomes}}[/tex]
P(both the Slingshot and the Scream Flyer)= [tex]\frac{204}{1279}[/tex]
Required probability = [tex]\frac{204}{1279}[/tex]
Evaluate the expression when x = 4 and y = 5.
3x2 + 4yº.x-1
Answer:
49
Step-by-step explanation:
Plug in 4 for x and 5 for y
[tex]3x^{2}+4y^{0}*4^{-1} \\3*4^{2} +4*5^{0}*4^{-1} \\3*16+4*5^{0}*4^{-1} \\[/tex]
a triangle flower bed has one angle of 64 degrees. the other two angles are congruent to one another. what are the measures of the two unknown angles?
Answer:
58 degrees
Step-by-step explanation:
well we know that every angle in a tringle adds up to 180 degrees.
so we know that 64 + angle 1 + angle 2 = 180
180-64=116
and since they are congruent (same value as one another) you just divide 116 by 2 and boom!
116/2=58
both are 58 degrees
please help!! I'm stuck on this
Answer:
D
Step-by-step explanation:
According to the volume formula, you multiply length x width x height
Answer:
D; 1*9*4
Step-by-step explanation:
Since the formula for the volume of a rectangular prisim is L*W*H (length times width times height), it would be 9*4*1. However, since the order doesn't matter (due to the commutative property of multiplication) it would be D.
help me on this question
Answer:
x = 8
Step-by-step explanation:
It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.
30 ÷ 25 = 1.2
Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;
1.2 (35) = 4x + 10
Simplify,
42 = 4x + 10
Inverse operations,
42 = 4x + 10
32 = 4x
8 = x
Answer:
Step-by-step explanation:
Use proportions to solve this and the similarity from smaller side to corresponding larger side:
[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:
1050 = 25(4x + 10) and
1050 = 100x + 250 and
800 = 100x so
x = 8
1875/10000 as a simplified mixed number
Answer:
3/16
Step-by-step explanation:
step 1 Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 1875/10000
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 1875 & 10000 is 625
step 3 divide the numerator & denominator by GCD 625 and rewrite the fraction
= (1875/625) / (10000/625)
= 3/16
Thus, 3/16 is the simplified fraction for 1875/10000 by using the GCD or HCF method.
Answer:
Step-by-step explanation:
Find the measures of the interior angles of the triangle
Answer:
45°, 110° & 25°
Step-by-step explanation:
We know,
x + 25° + x +65° = 180° (∵Sum of all interior angles of a triangle is 180)
or, 2x + 90 = 180°
or, 2x = 90°
∴ x = 45°
Now,
∡A = x° = 45°
∡B = x +65° = 45° + 65° = 110°
I will give brainly
Below, the two-way table is given for a
class of students.
If a student is selected at random, find the
probability the student is a senior. Round
to the nearest whole percent.
[?]%
Answer:
The answer is 17%
Step-by-step explanation:
Beth is flying a kite with 300 feet of string. The kite gets stuck in a tree, so she ties the other end of the string to a rock on the ground making the string taut. The angle of elevation from the rock to kite is 35 degrees. How far up the tree is the kite? Round your answer to the nearest tenth. (No links please)
Answer:
[tex] \displaystyle 172.1 ft[/tex]
Step-by-step explanation:
refer the attachment
let the string be hypotenuse and
the height be h And the angle be 35°
given that,
hypotenuse:300ftangle:35°since we are given the hypotenuse and want to figure out the opposite side we'll use sin function
so our equation would be
[tex] \displaystyle \sin( {35}^{ \circ} ) = \frac{h}{300} [/tex]
cross multiplication:
[tex] \displaystyle h= 300 \sin( {35}^{ \circ} ) [/tex]
by using calculator we obtain:
[tex] \displaystyle h = 172.1[/tex]
hence,
about 172.1ft far up the tree is the kite
Hope this help!!!
Have a nice day!!!
The sampling distribution is based on the assumption that the ________ hypothesis is ________. Group of answer choices research; true null; false null; true research; confounded
Answer:
True , null
Step-by-step explanation:
Mostly the true hypothesis is the null hypothesis .
We test the true hypothesis , the null hypothesis against the claim provided which is named as alternate hypothesis.
When the false hypothesis is the null hypothesis , type II error is made.
Confounded in statistics means when the alternative explanations cannot be eliminated.But we have the alternate hypothesis in hypothesis testing.
So option 1 is correct
what is eight less than a number as an algebraic expression
Answer: n-8
Step-by-step explanation: n represents the unknown number. You need to subtract 8 from the number since "less than" is another phrase to describe subtraction.
I hope this helps, have a nice day.
(50 POINTS) Subtract. (−8.3x+4)−(3.2x−5)
Enter your answer, in simplified form, in the box. (Combine and simplify the equation.)
Answer:
Hello!!!Step-by-step explanation:
The first step for solving this expression is to remove the first set of parenthesis.
-8.3x+4 - (3.2x-5)
Remember that when there is a "_" sign in front of the parenthesis, we must change the sign of the expression to the following
-8.3x + 4 - 3.2x + 5
Collect the like terms with an x variable.
-11.5x + 4 + 5
Lastly, add the number to get your final answer
-11.5x + 9
Hope that helps you dear...
Have a nice day..
Buhbye!
Part II: Constructed Response (2 pt)
4) (LT #5) One of the games at a carnival involves trying to ring a bell with a ball by hitting a
lever that propels the ball into the air. The height of the ball is modeled by the equation
h(t) = -10t2 + 30t. If the bell is 25 ft above the ground, will it be hit by the ball. Explain or justify
your response
Students, draw anywhere on this side!
Answer:
here hereh ehreh ehe
Step-by-step explanation:
What is the area of the figure composed of a parallelogram, a square, and a rectangle?
10 in.
3.5 in.
4 in.
6 in.
12,5 in.
I need the right answer for this plz
Answer:
A = 18 km^2
Step-by-step explanation:
PLS HELP THIS IS MY FINAL
Answer: C. 25.6
Step-by-step explanation:
please help!! 20 points. if you guess or just comment something to take points i will have you reported and make sure your account gets banned, thanks! i want a explanation pls
Answer:
x=5
Step-by-step explanation:
to find volume: length x width x height
the first rectangular prism volume: 15*5*5= 375 in³
because they have the same volume, you would set the other rectangular prism equal to 375: 25*3*x=375
75*x=375
divide both sides by 75: x=5
=-= 50 Points =-= Must give the correct answer
Solve by equating exponents and using the Equality of Bases Property.
Solve (2)^x/2 = 16 for x
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
A city has a population of 290,000 people. Suppose that each year the population grows by 3%. What will the population be after 13 years?
Use the calculator provided and round your answer to the nearest whole number.
Answer:
403100 is the answer.Hope this helps
I’ll give you Brainiest answer
Answer:
J or the last one
Step-by-step explanation:
Other two wouldn't work since -37 is the least and 37% is 0.37 which is less than 0.72
3 in.
Find the radius and diameter of the circle.
Radius =
Diameter =
Answer:
Step-by-step explanation:
radius=3 in.
diameter=2r
=2*3
=6 in.
Radius = 3 inches
Diameter = 6 inches
Explanation:-The given radius is 3 inches.
We know that diameter is twice the radius. So,
Diameter = 2r
= 2×3
= 6 inches
A playground has two sandboxes. Each sandbox is in the shape of a right prism. The first sandbox has a square base with a side length of 8 feet. What is the area, in square feet, of the base of the first sandbox? Show or explain how you got your answer.
The area of the base of the first sandbox is 64 square feet
What is the area?Area is the measure of the amount of surface that a two-dimensional figure or shape covers. It is typically expressed in square units, such as square inches or square meters.
The area of a shape can be calculated by multiplying the length of its base by its height or by using specific area formulas for different shapes, such as the area of a circle or the area of a triangle.
The area of a square is given by the formula: A = s², where s is the length of one side of the square.
In this case, the sandbox has a square base with a side length of 8 feet. Therefore, the area of the base of the first sandbox is:
A = 8² = 64 square feet.
So, the area of the base of the first sandbox is 64 square feet
To know more about an area follow
https://brainly.com/question/29204021
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NO LINKS!!! WILL REPORT!!!! NEED HELP ASAP
Answer:
Step-by-step explanation:
take 45 degree as reference angle
using cos rule
cos 45=adjacent/hypotenuse
1/[tex]\sqrt{2}[/tex]=x/4(do cross multiplication)
x[tex]\sqrt{2[/tex]=4
x=4/[tex]\sqrt{2}[/tex]
x=2[tex]\sqrt{2}[/tex]