Answer:
[tex] \tan (A +B) = - 6\frac{6}{13} [/tex]
Step-by-step explanation:
[tex] \sin \: A = \frac{3}{5}...(given) \\ \\ \because\cos A = \pm \sqrt{1 - { \sin }^{2}\: A } \\ \\ \ \therefore\cos A = \pm \sqrt{1 - \bigg( \frac{3}{5} \bigg) ^{2}} \\ \\ \ \therefore\cos A = \pm \sqrt{1 - \frac{9}{25}} \\ \\ \therefore\cos A = \pm \sqrt{ \frac{25 - 9}{25} } \\ \\ \therefore\cos A = \pm \sqrt{ \frac{16}{25}} \\ \\ \therefore\cos A = \pm { \frac{4}{5}} \\ \\ \because \: \angle A \: is \: in \: quadrant \: I \\ \\ \therefore \: \cos A = { \frac{4}{5}} \\ \\ \tan \: A = \frac{ \sin \: A}{\cos \: A} \\ \\ \tan \: A = \frac{ \frac{3}{5} }{ \frac{4}{5} } \\ \\ \tan \: A = \frac{3}{4} \\ \\ \because \tan (A +B) = \frac{ \tan A + \tan B }{1 - \tan A \tan B } \\ \\ \therefore \tan (A +B) = \frac{ \frac{3}{4} + \frac{15}{8} }{1 - \frac{3}{4} \times \frac{15}{8} } \\ \\ \therefore \tan (A +B) = \frac{ \frac{6}{8} + \frac{15}{8} }{1 - \frac{45}{32}} \\ \\ \therefore \tan (A +B) = \frac{ \frac{21}{8} }{\frac{32 - 45}{32}} \\ \\ \therefore \tan (A +B) = \frac{ \frac{21}{8} }{\frac{ - 13}{32}} \\ \\ \therefore \tan (A +B) = \frac{21}{8} \times \bigg(- \frac{32}{13 } \bigg)\\ \\ \therefore \tan (A +B) = - \frac{84}{13} \\ \\ \therefore \tan (A +B) = - 6\frac{6}{13} [/tex]
Answer:
c
Step-by-step explanation:
plato
can someone plz help answer thissss!!!
Answer:
Pythagoras theorem.
hypotenuse²=base²+height²
hypotenuse²=(6unit)²+(1 unit)²
hypotenuse ²=36+1
hypotenuse²=37
hypotenuse=_/37
A sample of nitrogen gas has a pressure of 6.58 kPa at 539K. If the volume does not
change, what will the pressure be at -62C.
Answer:
2.575844
Step-by-step explanation:
This is a simple change of temp problem, from 539K to -62C but to start you have to change the C to K, which is simply adding 273 to the -62 so 211K.
Now you take P1/T1 = P2/T2 so,
6.58 = x
539 = 211
now cross multiply and divide, 211 x 6.58 then divide by 539.
this will give you your answer
***BTW DONT CLICK THE LINK ON THE ANSWER BELOW OR ABOVE THAT LEADS TO SOME MALWARE***
15 points Need ASAP- Use the table to write a proportion ~ (table on picture)
Answer:
c=775
Step-by-step explanation:
The base of a rectangular prism has dimensions measuring 8 feet by 17 feet. If the volume of the prism is 1,632 cubic feet, find the height of the prism.
Answer:
the answer is 12
Step-by-step explanation:
I had this work sheat and got the answer from the teacher
For the volume of the prism is 1,632 cubic feet, the height of the prism is,
⇒ H = 12 feet
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
.
Given that;
The base of a rectangular prism has dimensions measuring 8 feet by 17 feet.
And, the volume of the prism is 1,632 cubic feet.
Now, We know that;
Volume of prism = B x H
Where, B is base area and H is height.
Hence, We get;
Volume of prism = B x H
1632 = 8 x 17 x H
1632 = 136 H
H =1632 / 136
H = 12 feet
Thus, For the volume of the prism is 1,632 cubic feet, the height of the prism is,
⇒ H = 12 feet
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A circle is centered at K(0,0)K(0,0)K, left parenthesis, 0, comma, 0, right parenthesis. The point U(6,-4)U(6,−4)U, left parenthesis, 6, comma, minus, 4, right parenthesis is on the circle.
Where does the point V(\sqrt{2},-7)V(
2
,−7)V, left parenthesis, square root of, 2, end square root, comma, minus, 7, right parenthesis lie?
Answer:
inside the circle
Step-by-step explanation:
Khan Academy
Select the ratio equivalent to tan (o)
Answer:
D.
tangent = opp over adj
Step-by-step explanation:
us
Write the slope of DB.
C (a+b, c)
B (b,c)
.
A|(0, 0) D (a,0)
Enter the value that
belongs in the green box.
Slope Formula: Y
[?]
GE
XX
Enter
Answer: C/A+B
Step-by-step explanation:
i’m doing this course on acellus rn too
The first two angles in a triangle are 15 degrees and 20 degrees. What does the third angle have to be?
A. 15 degrees
B. 25 degrees
C. 105 degrees
D. 145 degrees
Hey peoples I have a question about Quadratics so one question said
(x+9)(x+4) find the middle term do they mean like the standard form is a^2+ bx+c
are they asking to find b?
Answer:
Yes
Step-by-step explanation:
In [tex]a^2+bx+c[/tex], b is the middle term.
Really hard!!
What multiplication expression is equivalent to 3/4 divided by 1/3
Answer:
C
Step-by-step explanation:
When the divisor in an expression is a fraction, you use the reciprocal of the fraction. The reciprocal of the fraction 1/3 is 3/1. Therefore, it would be 3/4 times 3/1.
The equation y=36.5x represents the number of miles, y, that Katherine can drive her car for every, x, gallons of gas. Find the rate of change.
Answer:
36.5miles/gallon
Step-by-step explanation:
Given the equation y=36.5x which represents the number of miles, y, that Katherine can drive her car for every, x, gallons of gas. The rate of change of the function is expressed as dy/dx
On differentiating the function;
dy/dx = 36.5
Hence the rate of change of the function is 36.5miles/gallon
Help me find the area :)
Answer:
400 cm²
Step-by-step explanation:
25÷20 = 1.25
Area = 1.25 × 320
= 400 cm²
Answer:
500
Step-by-step explanation:
Base is 20, height is 16, the larger one is 1.25 times larger, so the height of the larger one is 16*1.25=20. This means that the area of the larger one is 20*25=500.
Zaira has a flower garden outside her
house. She plants 12 flowers and waits
for them to grow. Of those flowers,
2/6 of them are yellow. How many of
Zaira's flowers are yellow?
the correct answer
a. 2
6. 4
C. 24. D6
Answer:
4 of her flowers are yellow.
Step-by-step explanation:
[tex] \frac{2}{6} = \frac{4}{12} [/tex]
6 x 2 = 12 and 2 x 2 = 4
The total surface area of this triangular pyramid is_____?
help asap
Answer: 208 in^2
Step-by-step explanation:
find the surface area of the square base
8(8)=64
find the surface area of the 4 triangular lateral faces
SA=4(bh÷2)
4(8 x 9 ÷2)
4(36)=144
add the surface area of the square base and lateral faces
64+144=208
plss help i’ll give brainliest thank you!
Answer:
The absolute value of -9 is less than 9 I'm pretty sure
a disk in the shape of a circle has a diameter of 64 millimeters. what is the radius of the disk?
Answer:
the radius is 32
Step-by-step explanation:
the radius of a circle is half the diameter
hope this helps
What is the volume of the pyramid
Answer:
A=lw+l(w
2)2+h2+w(l
2)2+h2=14·20+14·(20
2)2+202+20·(14
2)2+202≈1016.84192
Step-by-step explanation:
That might be it,Im sorry tried
What is the greatest common factor of 5xy and 20x
Answer:
5x
Step-by-step explanation:
Consider a rectangular prism with length 4 and width and height d.
Write an expression for the volume of the prism in terms of d.
Answer:
Volume of rectangular prism = 4d² unit²
Step-by-step explanation:
Given:
Length of rectangular prism = 4 unit
Width of rectangular prism = d unit
Height of rectangular prism = d unit
Find:
Volume of rectangular prism
Computation:
Volume of rectangular prism = [l][b][h]
Volume of rectangular prism = [4][d][d]
Volume of rectangular prism = 4d² unit²
5/25=
what is this fraction equal to
1/5
Step-by-step explanation:
I have done this sir
Lee laaa
Answer:
1/5
Step-by-step explanation:
5/25 = ?
well so
5 x 5 = 25 so that means that there is 5 parts for each 1 whole
5/25 = 1/5
un camion puede llevar una carga maxima de 5 t. en una fabrica ha cargado 6 contenedores de 3 q y 85 kg uno. ¿cuantos kilos mas pueden cargar?
Answer:
puede cargar 205 killos pero no mas de 260 por el peso.
Step-by-step explanation:
5t. 3q 85kg
Find the sum of £1.98,87p and 23p write your answer in pounds £ write your answer in pence P
Answer:
Step-by-step explanation:
23+87+98=208
2.08+1=3.08
3.08-----> 308p
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12
Answer: 5, 15
Step-by-step explanation:
Given
Mr. Ramirez purchased 20 concert tickets
The total price of 20 tickets is [tex]\$225[/tex]
Concert ticket costs [tex]\$15[/tex] for adults and [tex]\$10[/tex] for children
suppose there are x adults and y children
[tex]\therefore x+y=20\quad \ldots (i)\\\\\Rightarrow 15x+10y=225\quad \ldots(ii)[/tex]
Solving (i) and (ii) we get
[tex]x=5,\ y=15[/tex]
So, there are 5 adults and 15 children
Jeremiah ran 5.6 miles every day for
2 weeks. How many miles did he run
in all?
Answer:
78.4 miles
Step-by-step explanation:
Since there are 14 days in two weeks, you multiply 5.6 miles times 14 days to get 78.4 miles in total since 5.6 is how much he ran every DAY
Which statements describe gene therapy? Select three options.
Gene therapy includes selective breeding.
Gene therapy includes the cloning of DNA.
Gene therapy is a form of genetic engineering.
Gene therapy is an attempt to cure diseases.
Gene therapy involves replacing mutated genes.
Gene therapy is a procedure used to treat and cure sickness by altering a person's gene structure, hence options C, D, and E are correct.
What is gene therapy?A type of genetic engineering is gene therapy. Gene therapy is a method of treating illnesses. Gene therapy involves replacing mutated genes.
rDNA technology is used in genetic engineering to recreate the genetic code. In order to treat and cure illnesses, gene therapy also modifies the gene. Gene therapy replaces damaged or mutant genes in order to treat illness.
It has a characteristic that offers promise in curing fatal illnesses including cancer, diabetes, AIDS, and many others. Through gene replacement therapy, defective genes are replaced with healthy ones.
Therefore, gene therapy is a form of genetic engineering, hence options C, D, and E are correct.
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Irene eats 45 grams of fiber every day. Each gram equals 100% of fiber. How many grams did she have (in %)?
Answer:
45%
Step-by-step explanation:
45 out of 100 equals 45%.
A rectangular prism and its dimensions are shown in the figure below. Study the figure below... 12 centimeters... 28 centimeters... 22 centimeters... Which of the following could be used to calculate the total surface area of the figure?
Answer:
Step-by-step explanation:
The surface area of the prism will be 2432 cm²
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given that, a rectangular prism has dimensions 28 x 22 x 12, we need to find the surface area,
The surface area = 2[lh+wh+lw]
l = length, w = width and h = height
Therefore, the SA = 2[28×22+22×12+12×28]
= 2 × 1216
= 2432
Hence, the surface area of the prism will be 2432 cm²
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Is this right? please help me.
Three balls are selected at random without replacement from an urn containing two white balls and four blue balls. Find the probability of the given event. All of the balls are blue.
Answer:
P(3 blue) = 1/5
Steps:
P(3 blue) = 2/3 × 3/5 × 1/2
P(3 blue) = 6/30
P(3 blue) = 1/5
that's 20%
12. Find u · v for u = 3i + 4j and v = i - 2j
a.
[tex] \sqrt{5} [/tex]
b. -5
c. 10
d. 3i - 8j