Answer:
59°
Step-by-step explanation:
In triangle DAB, by Pythagoras theorem:
[tex] DB= \sqrt {6^2 +5^2} =\sqrt{36+25}=\sqrt{61}[/tex]
Next, in triangle DCB, by Pythagoras theorem:
[tex] DB= \sqrt {(\sqrt {61} )^2 - 4^2} =\sqrt{61-16}=\sqrt{45}[/tex]
Now, by sin rule.
[tex] \frac{ \sin \: p}{ \sqrt{45} } = \frac{ \sin 90 \degree}{ \sqrt{61} } \\ \\ \frac{ \sin \: p}{ 6.70820393} = \frac{ 1}{ 7.81024968 } \\ \\ \sin \: p = \frac{ 6.70820393}{7.81024968} \\ \\ \sin \: p = 0.858897501 \\ \\p = 59.19301883 \degree \\ \\ p \approx 59 \degree[/tex]
Which problem situation can be represented by the equation below?
150 – 3x = 60
Answer choices : A .Mrs. Santos spent a total of $150 on clothing. She bought 3 shirts for $10 each and 6 sweaters that cost the same amount each. What is x, the cost of each sweater?
B Two numbers have a difference of 60. The larger number is 150. What is the smaller number, x?
C Karen had a gift card for $150. She bought 3 gifts for her sisters. The gifts cost the same amount, x. After paying for the gifts, her gift card had a balance of $60. How much did each gift cost?
D Leanne still had 150 pages of her book to read. She read 60 pages in 3 hours. What is x, the number of pages she read each hour?
Answer:
C, and x=30
Step-by-step explanation:
Equations for each problem:
A) 150 =3(10)+6x
120=6x
x=20
B)150-x=60
x=90
C) 150 -3x =60
3x=90
x=30
D)x=60/3
x=20
Answer:
C, and x=30
Step-by-step explanation:
Equations for each problem:
A) 150 =3(10)+6x
120=6x
x=20
PLEASE HELP IM GIVING OUT BRAINLIEST (30 POINTS)
Answer:
1.) ax2+Bx+c
2.) parabola
3.) I don't know
4.) I don't know
5.) maximum
6.) minimum
7/8) The solutions of a quadratic equation are also called roots, zeroes, and x -intercepts.
I hope this kinda helped.
Answer:
1.) ax2+Bx+c
2.) parabola
3.) I don't know
4.) I don't know
5.) maximum
6.) minimum
7/8) The solutions of a quadratic equation are also called roots, zeroes, and x -intercepts.
I hope this kinda helped.
Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answer 95 in college
Step-by-step explanation:
Find the circumference 7.44ft
A 6-meter garden row is divided into 5 equal-sized sections to plant onions
Answer:
1.2 m
Step-by-step explanation:
The question has missing details, however a possible question could be to determine the length of each section.
This is calculated by dividing the rowlength of the garden, by length of each section.
Section Length = Row length ÷ Number of section
Section Length = ,6m ÷ 5
Section Length = 1.2m
Algebra basics Graphing lines and slope
Question: Detereme the intercepts of the line
y - intercept ( , ) ( , )
x - intercept ( , ) ( , )
Answer:
y= (-40,-1) x=(-10-17)
Step-by-step explanation:
What would be the answer to this?
Answer:
If you are looking for x it equals 80 degrees
Step-by-step explanation:
vertical angles are congruent
What is the measure of P?
Answer:
111?
Step-by-step explanation: Did u even try...
Analysis of variance is used to ______. A. simultaneously compare several population means B. compute a t test C. compare nominal data D. compare population proportions
Answer:
"Option A" is the right alternative.
Step-by-step explanation:
ANOVA could also be utilized to predict the dependent variable of even more with around 2 categories and seems to be compared to the general population extra influential throughout this circumstance. Throughout addition, ANOVA variants typically include covariates that encourage somebody to manipulate numerically for confounding factors as well as to recognize interactions wherein the factor progressives the implications of some other factor.Other provided preferences weren’t comparable to the same circumstances in question.
Prove that the triangle with vertices A(0,1), B(3,3), and C(3,-1) is an isosceles triangle. Select the two sides that are congruent.
Answer:
AB and AC are congruent
Step-by-step explanation:
To show that the triangle is isosceles, we need to show that two of the sides of the triangle are equal.
Get AB
Using the formula for calculating the distance between two points
AB = √(x2-x1)²+(y2-y1)²
A(0,1), B(3,3)
AB = √(3-0)²+(3-1)²
AB = √3²+2²
AB = √9+4
AB = √13
Get BC
B(3,3), and C(3,-1)
BC = √(3-3)²+(-1-3)²
BC = √0²+-4²
BC= √0+16
BC = √16
BC = 4
Get AC
A(0,1), and C(3,-1)
AC = √(3-0)²+(-1-1)²
AC = √3²+(-2)²
AC = √9+4
AC= √13
Since AB = AC, this shows that the triangle ABC is an isosceles triangle.
The two sides that are congruent are AB and AC
Landon has 3 black shirts, 2 white shirts, and 2 blue shirts. He also has 2 pairs of black shorts and 2 pairs of khaki shorts. Landon randomly chooses one shirt and one pair of shorts. What is the probability Landon will choose a blue shirt and a black pair of shorts?
Answer:
Step-by-step explanation:
123Step-by-step explanation:
A rock climber ascends 18 feet to the top of a rock ledge. The climber
descends 8 feet and takes a break on a rock outcrop. Write and evaluate
an addition expression to show how much farther the rock climber must
descend to reach the original level.
Answer:
10 feet
Step-by-step explanation:
18-8=10 so the remaining 10 feet is what he needs to descend.
Pls help I’m so confused
Step-by-step explanation:
1560 sq yards
for Sure I have done this question before
and have just soved it
You can say thanks in comment
A baker sold 20 cakes. He sold 3/5 of them before noon. How many cakes did he sell that morning?
Answer:
He sold 12 cakes
Step-by-step explanation:
1/5 of 20 is 4 so 3 X 4= 12 so 12 cakes
Combine like terms 0.5(x⁴-3)+12
i think you're wanting this simplified; 0.5x^4 + 10.5
Answer: 0.5x^4+10.5
Step-by-step explanation: hope this helps!
The length of a rectangle is 3 less than twice the width. If the
perimeter is 72 cm, what is the length of the rectangle?
Answer:
Ihave made it in above pic
1st figure is wrong 2nd is correct
Answer:
length = 23
breadth = 13
x = 13 , okay
Step-by-step explanation:
see the explanation in attachment.
please help and can someone explain what a integer is
w = -18
x = -10
y = -2
z = 10
x and z are opposite, x= -10, where as z = 10, Hence x times (-1) equals z.
An integer is a non-fractional number real number. It can be either negative or positive, it simply cannot be a fraction.
"w", "x", and "y" are negative, and hence less than zero.
Fill in the blank.
There are 178 stuffed toys in a toy shop.
There are 227 fewer stuffed toys than puzzles in the toy shop.
How many puzzles are in the toy shop?
Answer:49
Step-by-step explanation:
the insructions for a model car show a scale of 1 inch to 48 inches. How long is the actual car if the drawing is 4 inches
Answer:
192
Step-by-step explanation:
Answer:
192
Step-by-step explanation:
The ratio of inches to inches is 1:48
To get 4:x
You have to multiply, 4/1 = 4, 4 by 48.
4*1 = 4
4*48 = 192
4:192 = 1:48 * 4
Write an equation of the line in slope-intercept form. (3, 3)
(0, 2)
Answer:
Step-by-step explanation:
3-2 change in y = 1
3-0 change in x= 3
y=1/3x+ c
PLEASE ANSWER ASAP!!!!!!!!!!!!!
Is 1 + 4(3x - 10) - 12x equivalent to -9? EXPLAIN and show your work.
Answer:
Since you have to distribute the 4 to both terms in parentheses, the equation is simplified like this:
1 + 12x - 40 -12x
= 1 - 40
= -39
Step-by-step explanation:
Answer: No
Step-by-step explanation:
1 + 4(3x - 10) - 12x = 9
simplifies to
1+12x - 40 -12x =9
combine like terms to get
-39 = 9
This is not possible so the answer is no.
Hi, Can you help me out pls? A rental company charges $15 plus $4 per hour to rent a bicycle. If Marley does not want to spend more than $27 for her rental, WRITE and SOLVE an inequality (in the space below) to find how many hours she can rent the bicycle and not spend more than $27. Please show your work
!!!!!!!!PLEASE HELP!!!!
Answer:
The answer is C
Step-by-step explanation:
1. Write two expressions for the area of the big rectangle. 8y х 12 글 2. Use the distributive property to write an expression that is equivalent to (8y +-$+-12). The boxes can help you organize your work. sy -X -12 2 3. Use the distributive property to write an expression that is equivalent to (8y I 12). TEE
Answer:It doesn't make sense
Step-by-step explanation:
true or false: a proper graph is a chromatic graph?
Answer:false
Hope this helps :)
triangle KLM ~ triangle KCD are similar. Solve for x.
Answer:
x=14
Step-by-step explanation:
28/16 = 1.75
1.75 is the constant of proportionality
63/1.75 = 36
therefore, 2x+8 should be equal to 36
2x+8 = 36 >> subtract 8 from both sides
2x = 28 >> divide both side by 2 to get x alone
x = 14
What is 0.5 divided by 0.4 long division
how many interior angles of a triangle can be equal to 85°
Which expression is equivalent to 1 x +3 - 3x + (-2)?
Answer:
1 - 2x
Step-by-step explanation:
Simplify the expression.
1x + 3 - 3x + (-2)
Bring all the like terms together.
= 1x - 3x + 3 - 2
Simplify again.
= 1 - 2x
Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.
r= 3 inches, s = 15 inches
Answer:
45 inches
Step-by-step explanation:
Answer:
ok
Step-by-step explanation: