Answer:
[tex]\boxed {\boxed {\sf x \approx 49}}[/tex]
Step-by-step explanation:
This is a right triangle, so the trigonometric ratios can be used.
sinθ= opposite/hypotenuse cosθ= adjacent/hypotenusetanθ= opposite/adjacentExamine the sides. We see that 10 is the hypotenuse (it is opposite the right angle). 6.5 is adjacent to x. So, we should use cosine.
[tex]cos (\theta)= \frac {adjacent}{hypotenuse}[/tex]
[tex]cos (x)= \frac {6.5}{10}[/tex]
Since we are solving for an angle, we use the inverse trigonometric function.
Move the cosine to the other side and use the inverse.
[tex]x= cos^{-1} (\frac{6.5}{10})[/tex]
Put the right side into a calculator.
[tex]x=49.45839813[/tex]
Round to the nearest whole number. The 4 in the tenth place tells us to leave the number as is.
[tex]x \approx 49[/tex]
x is approximately 49 degrees.
area of sector calculations .
help me and show your work please , thank you so much
Answer:
A = 54.11 unit²
Step-by-step explanation:
Given that :
A = θ/360 * πr²
A = 62/360 * π(10)²
A = 0.1722222 * π * 100
A = 54.105206
A = 54.11 unit²
Find the missing side or angle.
Round to the nearest tenth.
A=98°
b=11
c=19
a=[?]
Answer:
your answer will be a= 23.2
Step-by-step explanation:
hope this helps u have a great day ^_^
Answer:
A= 23.2
Step-by-step explanation:
[tex]a^2=b^2+c^2-2bc CosA[/tex]
[tex]a^2=11^2+19^2-2(11)(19)Cos 98[/tex]
[tex]a^2=121+361-418cos98[/tex]
[tex]a^2=121+361-(-58.17)[/tex]
[tex]\sqrt{a^2} =\sqrt{540.17}[/tex]
[tex]a=23.2[/tex]
[tex]-----------[/tex]
hope it helps..
have a great day!!
a triangle has angles that measure 85 degrees and 37 degrees what is the measure of the third angle
Answer:
58
Step-by-step explanation:
Answer:
58 degrees
Step-by-step explanation:
180-85-37 = 58
How
Many small circles of radius 7cm
can be got from big
big circle of radius
35cm
Answer:
Let get x as a number of small circles.
Area of big circle = Area of all small circles
(Here . implies multiplication)
22/7 . 35 cm .35cm = 22/7 . 7cm .7cm .x
x = (22/7 . 35 cm .35cm) / (22/7 . 7 cm .7cm)
x = (35 . 35) /(7.7)
x = 25
Step-by-step explanation:
What is the value of x in the equation –2.4x = 8.4? –20.16 –3.5 3.5 20.16
Answer: it’s 3.5
Step-by-step explanation:
HELLLLLLLLPPPPPP PLEASE ON THIS QUESTION
Answer and Step-by-step explanation:
Every episode is 20 minutes. The points would be:
(40, 2)(80, 4)(120, 6)(160, 8)WILL GIVE BRAINLEST !
hAVE A GOOD DAy :)!
Answer:
6. B
7. C
8. B
Step-by-step explanation:
Answer is:
6. B
7. C
8. B
Answer choices
8
6
10
Please help and don’t give me a link cause I’m Not falling for it
Answer:
The Answer is 8
Step-by-step explanation:
2*2*2
PLEASE HELP WITH EXPLANATION
Mary always saved 45% of his salary. When his salary decreased by 20% in April, his savings decreased by $180.
How much was Mary’s salary before the decease?
Answer:
Step-by-step explanation:
Answer:
Is Mary a guy? :|
Step-by-step explanation:
I did this by just a good guess , not really the right way
2000*.45=900 ( 900 is the old savings)
2000*.2 =400 ( how much her salary went down by )
2000-400=1600 ( new salary )
1600*.45 = 720 ( 45% of new salary is new savings
900-720=180 ( change in savings is 180 , the amount the question asks for)
Mary's old salary was 2,000
I need answers to the blanks! 30 points!
Answer:
pos,neg, pos
Step-by-step explanation:
Answer:
First blank, x>0 and y>0, second blank, positive, third blank, positive
Step-by-step explanation:
There is no such thing as a negative amount of items, so both x and y must be greater than 0. Therefore, both must be positive.
Joy made a scale drawing of a tower using a scale of 1 foot = 218 millimeters. If the actual height of the tower is 56 feet, then what is the tower's height in Joy's drawing?
Answer:
its 119
Step-by-step explanation:
I NEED HELP PLS I FORGOT HOW TO DO THIS HELP
Answer:
Step-by-step explanation:
how many shapes of size A are in B ?
I counted 9.5
then just multiply the count * the size of A
got it?
Step-by-step explanation:
area of shape A = 3cm²
number of A shape in shape B = 9 and half
1 shape A = 3cm²
9 shape A = 3×9 = 27cm²
1 half shape A = 3 ÷ 2 = 1.5cm²
area of shape B = 27cm² + 1.5cm² = 28.5cm²
_____________________Follow meWrite an equation in slope-intercept form that represents the data.
Answer:
1) y = 5x + 100
2) y = -10x + 375
Step-by-step explanation:
The slope intercept form of an equation is expressed as y = mx+c
m is the slope
c is the intercept
1) Using the coordinate points (0,100) and (1, 105)
slope m = 105-100/1-0
m = 5/1
m = 5
Substitute m = 5 and (0,100) into the formula y = mx+c
100 = 5(0)+c
100 = 0 + c
c = 100
The required equation is y = 5x + 100
2) Using the coordinate points (0,375) and (5 325)
slope m = 325-375/5-0
m = -50/5
m = -10
Substitute m = -10 and (0,375) into the formula y = mx+c
375 = -10(0)+c
375 = 0 + c
c = 375
The required equation is y = -10x + 375
what is the equation of the graph in slope-intercept form?
How else can you write 40 miles per hour?
Answer:
40 miles
Step-by-step explanation:
10 miles per hour × 4 hours = 40 miles.
Select THREE expressions equivalent to -81x + 27.
0 -9(9x - 3)
0 -9(-9.2 -3)
3(-272 +9)
0 -3(27x – 9)
0 -3(-272 +9)
Answer:
1001.11
Step-by-step explanation:
$2200/monthxhfhfjfjf
Does 3/10 x 1/2 = 3/20 ?
Answer:
Yes
Step-by-step explanation:
yes, yes it does
a room is 12 CM long and 8 m broad. find the ratio of i) length to breadth II) breadth to length
Answer:
i. Length : breadth = 3 : 200
ii. Breadth : length = 200 : 3
Step-by-step explanation:
Given the following data;
Length = 12cm
Breadth = 8m to centimeters = 8 * 100 = 800 centimeters.
To find the following;
a. Length to breadth ratio.
Length : breadth = 12 : 800
We would divide both sides by 4
Length : breadth = 3 : 200
b. Breadth to length.
Breadth : length = 800 : 12
We would divide both sides by 4
Breadth : length = 200 : 3
Note: In order to find a ratio, we must ensure that the units of the given parameters (quantities) are the same.
29% of a university's freshman class are majoring in Economics. If 870 students in the freshman class are Economics majors, how many students are in the freshman class?
Answer:
x=3000
Step-by-step explanation:
870=29/100x
x=3000
Question 3
Julie weighs 60 kilograms. How many grams does she weigh?
O
6 grams
600 grams
6,000 grams
O 60,000 grams
Answer:
60,000 grams
Step-by-step explanation:
Find how many grams she weighs by finding how many grams are in 60 kilograms.
There are 1000 grams in a kilogram, so to find her weight in grams, multiply 60 by 1000:
60(1000)
= 60,000
So, Julie weighs 60,000 grams
express 832.0646 to a significant
Answer:
Step-by-step explanation:
200
Let the measure of Arc B C D = a°. Because Arc B C D and Arc B A D form a circle, and a circle measures 360°, the measure of Arc B A D is 360 – a°. Because of the ________ theorem, m∠A = StartFraction a Over 2 EndFraction degrees and m∠C = StartFraction 360 minus a Over 2 EndFraction degrees. The sum of the measures of angles A and C is (StartFraction a Over 2 EndFraction) + StartFraction 360 minus a Over 2 EndFraction degrees, which is equal to StartFraction 360 degrees Over 2 EndFraction, or 180°. Therefore, angles A and C are supplementary because their measures add up to 180°. Angles B and D are supplementary because the sum of the measures of the angles in a quadrilateral is 360°. m∠A + m∠C + m∠B + m∠D = 360°, and using substitution, 180° + m∠B + m∠D = 360°, so m∠B + m∠D = 180°.
What is the missing information in the paragraph proof?
Answer:
A. Inscribed Angle
Step-by-step explanation:
Because the angles are inscribed in the circle, the angle lie on arcs which mean that the angles have to add up to 360 degrees just like a circle is 360 degrees, making it a quadrilateral that is inscribed!
The missing information in the paragraph proof should be considered as the Inscribed Angle.
What is Inscribed Angle?In terms of geometry, an inscribed angle should be the angle that should be created in the interior of a circle at the time when two chords intersect on the circle. Since the angles should be inscribed in the circle so here the angles should be added up to the 360 degrees same as like the circle also at the same time it should make the quadrilateral
Therefore, The missing information in the paragraph proof should be considered as the Inscribed Angle.
Learn more about an angle here: https://brainly.com/question/21103473
10. In how many ways can a student select 7 out of 10 questions to work on an exam
Answer:
Step-by-step explanation:
7C10 = 10!/(7!)(10-7)!
7C10 = 10!/(7!)(3!)
7C10 = (10 x 9 x 8 x 7)/(7 x 6 x 5)(6)
7C10 = (10 x 9 x 8)/6
7C10 = 720/6
7C10 = 120
Answer: 120 ways
Which number produces a rational number when multiplied by 0.5?
PLEASE HELP I AM BEGGING IF I DON’T GET THIS RIGHT IM GONNA FAIL. WILL GIVE BRAINLIEST TO THE CORRECT ONE.
4. A linear equation written in the form y = mx + b is in
A) y-intercept
B) point-slope form
C) slope-intercept form
D) standard form
Answer:
a) y - intercept
Step-by-step explanation:
The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b).
The figure is made up of a cone and a cylinder
To the nearest whole number, what is the volume of this figure?
Use 3.14 to approximate pie ,Round only your final answer to the nearest whole number.
Enter your exact answer in the box
Answer:
personally I think the answer is 50.27
In one city, the ratio of households with pets to
households without pets is 30 to 29. If 20,735 households
do not have pets, how many households have pets?
A 21.450
B 42,185
C 40,779
D 20.044
Answer:
40,779
Step-by-step explanation:
i took the k12 test
is (24, 7, 25) a Pythagorean triple?
is (24, 7, 25) a Pythagorean triple?
Step-by-step explanation:
No
is 3/4 equivalent to 27/36
Answer:
yes , 27/36=3*9/4*9=3/4 both the number 27 and 36 can be multiplied by 9 and can be reduced to its lowest form i.e.
Determine which statement or statements are true. texts sent = 8 ; calls made = 5 For every 5 texts sent there were 8 calls made The ratio of texts sent to calls made was 8:5 For every 5 calls made there were 8 texts sent The ratio of texts sent to calls made was 5:8
Answer:
The ratio of texts sent to calls made was 8:5
For every 5 calls made there were 8 texts sent
Answer:
For every 8 calls made there were 2 texts sent.
And
For every 2 texts sent there were 8 calls made.