Answer:
AB ≈ 4.41
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos25° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{4}{AB}[/tex] ( multiply both sides by AB )
AB × cos25° = 4 ( divide both sides by cos25° )
AB = [tex]\frac{4}{cos25}[/tex] ≈ 4.41 ( to the nearest hundredth )
Find the angle between the given vectors to the nearest tenth of a degree.
u = <-5, 8>, v = <-4, 8>
2.7°
-7.3°
5.4°
15.4°
9514 1404 393
Answer:
(c) 5.4°
Step-by-step explanation:
We can simply determine the difference between the angles of the vectors:
arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°
The angle between the vectors is about 5.4°.
__
Alternate solutions
1) We could also determine the angle of their ratio.
u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i
angle = arctan(0.1/1.05) = 5.440°
__
2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))
tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))
= (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2
∠u -∠v = arctan(2/21) = 5.440°
A chef plaining for a large banquaet think that 2 out of every 5 dinner guests will order his soup appetizer he expects 800 guests at the banquat use equvilent ratios to estimate how many cups of soup he should prepare
Answer:
I think 80
Step-by-step explanation:
2*5=10
800/10 = 80
80 soups
Checks can be used to:
make purchases
pay rent
pay bills
all of the above
Answer:
all of the above
Step-by-step explanation:
according to your question
If the diagonals of a quadrilateral are congruent, is the quadrilateral always a rectangle?
Answer:
Yes
Step-by-step explanation:
The only quadrilaterals with congruent diagonals are squares and rectangles and squares are technically rectangles so the answer is yes.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.
What is a quadrilateral?The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.
It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral can be a square or a rectangle.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.
More about the quadrilateral link is given below.
https://brainly.com/question/13805601
#SPJ5
what is this equal to
[tex] \frac{a + 8}{2} = \frac{a - 4}{8} [/tex]
Which is a better estimate for the volume of a conditioner bottle?
1 quart
or
1 Fluid Ounce
Answer:
1 Fluid Ounce
Step-by-step explanation:
Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is (5 points) Group of answer choices −7 negative 1 over 7 1 over 7 7
Answer:
1/7
Step-by-step explanation:
Given that :
Line AB contains points A (8, −4) and B (1, −5)
Slope = Rise / Run
Rise = y2 - y1 = - 5 - (-4) = - 5 + 4 = - 1
Run = x2 - x1 = 1 - 8 = - 7
Slope = Rise / Run = - 1 / - 7
Slope = 1/7
Helppppp i need help ASAP
Answer:
a) 10.10 a.m. , (b) 10.20 a.m. which is 10 minutes after sprints start , (c) The students work at 10.50 a.m. , (d) For 60 minutes from 10 a.m. to 11 a.m. which equals to 1 hour
What is the value of 80-5(x^2-y)+y when x=4 and y=6
Answer:h
Step-by-step explanation:
A table is sold hire purchase. The sales price consists of deposit of $306 and six monthly instalments of $60 each. How much does a customer pay for the table?
Answer: $666
Step-by-step explanation: 306+ 60(6)= 666
what is the value of 5 in 102,587
Pls help me and thank you!
sea f(x)=3x3+5x, calcule f(5) + f(3)
Answer:
496
Step-by-step explanation:
Which angle is supplementary to ∠1?
(12 + 31). Find the midpoint m of 21 (8 + 5i) and 22 Express your answer in rectangular form.
7(x-2)<2x+3 as a improper fraction
Answer:
-23/3
Step-by-step explanation:
sorry if i am wrong
Lakmini decided to measure the circumference of the Earth
using a very long tape measure. She held the tape measure
Im from the surface of the (perfectly spherical) Earth all the
way round. When she had finished her friend said that her
measurement gave too large an answer and suggested taking
off 6 m. Was her friend correct?
[Take the radius of the Earth to be 6400 km (if you need it).]
Answer:
Step-by-step explanation:
[tex]\Delta C=2\pi(r_2-r_1)\\ \\ \Delta C=2\pi(6400001-6400000)\\ \\ \Delta C=2\pi\\ \\ \Delta C\approx 6.283m\\ \\ \text{So taking off 6 meters is reasonable.}[/tex}
Plz helpppppppppppppp helpppppppppppppp
Answer:
(A).option is correct..54cm2
Harpo, Groucho, Chico, Zeppo, Gummo, Karl, and Skid have won three tickets to the opera. They will randomly choose three people from their group to attend the opera. How many outcomes are possible?
Answer:
35
Step-by-step explanation:
This is a combination problem therefore we need to use the combination formula using factorials, plug in the values for n and r which would be 7 since there are 7 individuals in the group and 3 because we are making outcomes of 3.
C(n,r)=C(7,3)
=7!(3!(7−3)!)
=7!3!×4!
= 35
Finally, we can see that the total number of possible outcomes is 35
Use the distributive property to write an expression that is equivalent to 10(10x - 4).
Answer:
100x-40
Step-by-step explanation:
10*10x and 10* -4
Is this correct ? What’s the answer??
Answer:
Im not sure Im sorry Im just trying to get points but I will send to a friend to help
Step-by-step explanation:
Xyx Motors pays Nick $1,567.46 in dividends every year. If the dividend on one share of Xyx Motors is $4.33, how many shares does Nick own?
a.
383
b.
457
c.
362
d.
276
Answer:
C. 362
Step-by-step explanation:
If you divide 1567.46 by 4.33, you get 362.
Answer:
c
Step-by-step explanation:
Complete the equation of the line through (-6, 5) and (-3, -3)
Answer:
y = -8/3x - 11
Step-by-step explanation:
(-6, 5) and (-3, -3)
Slope:
m=(y2-y1)/(x2-x1)
m=(-3-5)/(-3+6)
m=(-8)/3
m= -8/3
Slope-intercept:
y - y1 = m(x - x1)
y - 5 = -8/3(x + 6)
y - 5 = -8/3x - 16
y = -8/3x - 11
What would be the first step in solving the equation 7/9x + 34 = 174?
Answer:
[tex] \frac{7}{9} x + 34 = 174 \\ => \frac{7x}{9} = 174 - 34 \\ = > \frac{7x}{9} = 140 \\ = > 7x = 140 \times 9 \\ = > 7x = 1260 \\ = > x = \frac{1260}{7} = 180 \\ { \huge{ \pink{x = 180}}}[/tex]
❤️❣️❤️I’ll give points but please help me on this and if you don’t know the answer please don’t answer the question thank you
A certain hurricane travels at 20.88 kilometers per hour. The distance
from Cuba to Key West is 145 kilometers. Write and solve a multiplication
equation to find about how long it would take the hurricane to travel from
Cuba to Key West.
Answer:
6.94 hours
Step-by-step explanation:
20.88 = 145/t
20.88t = 145
t=145/20.88t
t=6.94
Answer:
6.94 hours
Step-by-step explanation:
HELP PLEASE 2 Based on past experience, a pencil factory owner believes that 3 out of every 150 pencils will be defective in some way. Using this information. What is the best prediction of the number of defective pencils in a shipment of 3.000 pencils?
helllllllllllppppppppppppppppppppp
Ariana made cookies. She used 3 7/8 cups of flour and 2 1/8 cups of sugar. How much more flour than sugar did Ariana use?
Answer:
1 6/8 cups of flour
Step-by-step explanation:
Just subtract 2 1/8 from 3 7/8
Chloe makes beaded keychains to sell at local craft fairs. To make k keychains, she uses 15k beads. On Saturday, Chloe made 50 beaded keychains. How many beads did Chloe use to make the keychains?
Answer:
750 beads
Step-by-step explanation: you multiply 15,000 by 50, then removing the 3 extra zeros
Answer:
750
Step-by-step explanation: